Find the value of x.

Find The Value Of X.

Answers

Answer 1
the value of x is 9 because both angles are the same degree
Find The Value Of X.

Related Questions

is the ordered pair (-8 1) a solution to the equation y=1/2x-3

Answers

No, the ordered pair (-8,1) is not a solution to the equation y=(1/2)x-3.

In the question ,

an equation y=(1/2)x-3 is given ,

if the ordered pair (-8,1) is a solution of the equation , then it should satisfy the equation .

Substituting x=-8 and y=1 in the equation y=(1/2)x-3 , we get

y=(1/2)x-3

1 = (1/2)(-8) -3

1 = -8/2 -3

1 = -4-3

1 ≠ -7

Since 1≠7 , the ordered pair (-8,1) is not a solution to the equation y=(1/2)x-3 .

Therefore , No , the ordered pair (-8,1) is not a solution to the equation y=(1/2)x-3.

The given question is incomplete , the complete question is

Is the ordered pair (-8,1) a solution to the equation y=1/2x-3  ?

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Eric ordered a set of red and yellow pins. He received 70 pins in all. 21 of the pins were red. What percentage of the pins were red?

Answers

Answer:

The formula for finding the percentage of something is given as: (No. of items you want to find÷Total no. of items)×100

Percentage of red pins = (21÷70)×100

= 30%

I need this answered please

Answers

Answer:

240 copies of the standard version.

Step-by-step explanation:

See attached worksheet.

Bonus:  Since 240 standard copies were downloaded, we know that 3 times that number is the number of high quality versions downloaded.

                    Copies      Size(MB)        Total MB

Standard       240              2.6                624

High               720              4.4               3168

Total (MB)                                               3792   {This matches the data]

8. Find the polynomial function of degree 3 for the given conditions I.f(1) = 32 and x-2, x-3,x+1 are factors of the polynomial II.f(3) = -24 and 5,2,4 are zeros of the polynomial​

Answers

Part I

In factored form, [tex]f(x)=a(x-2)(x-3)(x+1)[/tex]. Substituting x=1,

[tex]f(1)=32=a(1-2)(1-3)(1+1)\\\\\implies 32=4a\\\\a=8\\\\\therefore f(x)=8(x-2)(x-3)(x+1)[/tex]

Part II

In factored form, [tex]f(x)=a(x-5)(x-2)(x-4)[/tex]. Substituting x=3,

[tex]f(3)=-24=a(3-5)(3-2)(3-4)\\\\\implies 24=2a\\\\a=12\\\\\therefore f(x)=12(x-5)(x-2)(x-4)[/tex]

please answer also this will give u 100 points

Answers

Answer:

Step-by-step explanation:
Slope is gradient which is,
change in y
                                              change in x
so, on the graph, change in y = 10-2.5 = 7.5
                              change in x = 5-0 =5
so, gradient is, 7.5/5
                     = 3/2

What are some organizations in the college Edward waters university?

Answers

Organizations in College Edward Waters University include

Accounting ClubEconomics ClubDelta Sigma Pi, Theta Omega ChapterGraduate Business Student Association (GBSA)Hilltop American Marketing AssociationWhere is the college Edward waters university?

College Edward waters university was the first independent higher institution and  black college located in Florida state of the United States of America.

The institution was found in 1866 in Jacksonville, Florida. It is owned by African Methodist Episcopal Church which is a Christian denomination.

Organizations refers to arrangement where people come together for a defined purpose. Organizations so exist in this high institution of learning

Delta Sigma Pi, Theta Omega Chapter is one of the organizations in this institution. The purpose of this organization is aid students in studying business in several ways and financial aids is one of them.

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A square has approximately 300 square feet . The length of each side of the square is between which two whole numbers?

Answers

Area = 300 ft^2

Formula

Area = length of a side x length of a side

Substitution

300 = length of a side ^2

[tex]\sqrt{300}[/tex][tex]\sqrt{300}\text{ = 17.32}[/tex]

The length of a side is between 17 and 18

Answer:

The length of the side of the square is approximately [tex]17.32[/tex] feet, which lies between the whole numbers [tex]17[/tex] and [tex]18[/tex].

Step-by-step explanation:

Step 1: Assume your variable

Since all the sides of a square are the same, let's consider the side to be the variable: [tex]x[/tex].

Step 2: Create an equation

The formula for the area of a square is:

[tex]\text{Area}=\text{Side}^{2}[/tex]

We have assumed the side to be [tex]x[/tex], and the area is said to be [tex]300[/tex], so substitute these values into the formula:

[tex]\text{Area}=\text{Side}^{2}\\300=x^{2}[/tex]

Step 3: Solve the equation

Using the formula for the area of a square, we came to find an equation:

[tex]x^{2}=300[/tex]

Now, let's find the value of [tex]x[/tex]:

[tex]x^{2}=300\\\\\text{Square root both sides of the equation:}\\\sqrt{x^{2}}=\sqrt{300}\\\\\text{Simplify:}\\x=\sqrt{300}\\\\\text{Calculate:}\\x\approx 17.32[/tex]

The length of the side of the square is approximately [tex]17.32[/tex] feet.

As we know, this number lies between [tex]17[/tex] and [tex]18[/tex].

Rewrite one fourteenth times x cubed times y plus three fourteenths times x times y squared using a common factor.

Answers

The expression which can be rewritten using a common factor is [tex]\frac{xy}{14} (x^{2} +3y)[/tex].

According to the question,

We have the following information:

One fourteenth times x cubed times y plus three fourteenths times x times y squared.

(We know that 'times' has to be replaced with multiplication.)

Now, we will change this into mathematical expression:

[tex]\frac{x^{3} y}{14} +\frac{3xy^{2} }{14}[/tex]

Now, from these two terms, the common factor can be [tex]\frac{xy}{14}[/tex].

(Common factor means that the number and the variables taken as a common factor should be able to completely divide the terms given any expression.)

Now, taking it as a common factor, we have the following expression:

[tex]\frac{xy}{14} (x^{2} +3y)[/tex]

Hence, the required expression is [tex]\frac{xy}{14} (x^{2} +3y)[/tex].

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what 15/60 as a decimal?

Answers

Answer:

0.25   (1/4 as a fraction)

Step-by-step explanation:

what 15/60 as a decimal?

Fraction is a division, 15/60 is the same as 15 : 60

so

15 : 60 =

0.25   (1/4 as a fraction)

1/12 - 0.083
1/5- 0.2
15/60- 0.25

Each square on a grid represents 1 unit on each side. Match the numbers with the slopes of the lines.

50 POINTS + BRAINLY FOR CORRECT ANSWER!!!

Answers

Graph 1: 3
Graph 2: -3
Graph 3: 1/3
Graph 4: -1/3

Answer


Graph 1 = 1/3 slope



Graph 2 = -1/3 slope



Graph 3 = 3 slope



Graph 4 = -3 slope



I found these by counting rise over run,


or y/x to points on the line that cross the x or y axis.



The graphs that have a line that go up from left to right are positive slopes


The graphs that have a line that go down from left to right are negative slopes




Problems solved!


2(5+x)-1=3x+9splve for x

Answers

2(5 + X) - 1 = 3X + 9

Step 1: Expand the terms in the bracket

=> 2 x 5 + 2 x X - 1 = 3X + 9

=> 10 + 2X - 1 = 3X + 9

Step 2: collect like terms

=> 2X - 3X = -10 + 1 + 9

=> -X = 0

a scientist runs an experiment involving a culture of bacteria. she notices that the mass of the bacteria in the culture increases exponentially with the mass increasing by 229% per week. what is the 1-week growth factor for the mass of the bacteria? what is the 1-day growth factor for the mass of the bacteria? by what percent does the mass of bacteria increase by each day? % if the mass of the bacteria instead increased by 453% per week, by what percent would the mass increase by

Answers

The 1-week growth factor for the mass of the bacteria is 3.29.

The 1-day growth factor for the mass of the bacteria is 1.185.

The percentage increase in the mass of bacteria is 18.5%.

The 1-day growth percent for the mass of the bacteria if the mass of the bacteria increased by 453% per week is 27.7%.

The 1-week growth factor for the mass of the bacteria is 1 + (229%*1).

The 1-week growth factor for the mass of the bacteria is 3.29.

The 1-day growth factor for the mass of the bacteria is (3.29)^(1/7).

The 1-day growth factor for the mass of the bacteria is 1.185.

The percentage increase in the mass of bacteria is 18.5%.

The new 1-week growth factor for the mass of the bacteria is 1 + (453%*1).

The new 1-week growth factor for the mass of the bacteria is 5.53.

The 1-day growth factor for the mass of the bacteria if the mass of the bacteria increased by 453% per week is (5.53)^(1/7).

The 1-day growth factor for the mass of the bacteria if the mass of the bacteria increased by 453% per week is 1.277.

The 1-day growth percent for the mass of the bacteria if the mass of the bacteria increased by 453% per week is 27.7%.

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The difference between two-fifth of a number and 9 is 7. Find the number.

Answers

Answer:

The number is 40.

Step-by-step explanation:

Step 1: Assume your variables

Consider the 'number' to be [tex]x[/tex].

Step 2: Create an equation(s)

The information in the question states that the difference between [tex]\frac{2}{5}[/tex] of [tex]x[/tex] and [tex]9[/tex], is [tex]7[/tex].

Representing this mathematically gives us:

[tex](\frac{2}{5}\times x) -9=7[/tex]

Step 3: Solve the equation

The equation we have is:

[tex](\frac{2}{5}\times x) -9=7[/tex]

So, let's solve it:

[tex](\frac{2}{5}\times x) -9=7\\\\\text{Add 9 to both sides:}\\(\frac{2}{5}\times x) -9+9=7+9\\\\\text{Simplify:}\\(\frac{2}{5}\times x)=16\\\\\text{Multiply by}~\frac{5}{2}~\text{on both sides:}\\\frac{5}{2}\times\frac{2}{5}\times x=16\times \frac{5}{2}\\\\\text{Simplify:}\\1\times x=\frac{80}{2}\\\\\text{Calculate:}\\x=40[/tex]

Solve each system of the new equations by adding or subtracting

Answers

Given the equations

x + y = 5----------------------(1)

x - 3y = 3-----------------------(2)

Subtract equation (2) from (1)

x - x -3y - y = 3 - 5

-4y = -2

Divide both -4

[tex]\begin{gathered} \frac{-4y}{-4}\text{ = }\frac{-2}{-4} \\ y\text{ = }\frac{1}{2}\text{ = 0.5} \\ \end{gathered}[/tex]

Substitute y = 1/2 into equation (1)

x + y = 5

[tex]\begin{gathered} x\text{ + }\frac{1}{2}\text{ =5} \\ x\text{ = 5 -}\frac{1}{2} \\ x\text{ = }\frac{10-1}{2} \\ x=\frac{9}{2}\text{ = 4.5} \\ \end{gathered}[/tex]

Hence, the solution to the equations is

[tex]\begin{gathered} x\text{ = }4.5,\text{ y = 0.5} \\ Or\text{ in coordinate form, (4.5, 0.5)} \end{gathered}[/tex]

A store sells 3 T-shirts for 28.14

Answers

Answer:

Step-by-step explanation:

1 T shirt = 28.14

There are 2 methods this can be done.

Method `1

Adding 3 times

28.14 + 28.14 + 28.14 = $84.42

Method 2

Multiplying 28.14 by 3

28.14 times 3 = $84.42

Therefore answer is 84.42

2.Which equations represent linear functions?a. y = -2xb. -4y = 3xc.y= 3x^2 -5d. 2x-3y =12

Answers

Of the functions listed in the options the ones that are linear are:

a. y = -2x

b. -4y = 3x

d. 2x - 3y = 12

Linear equations are equations of the first order. These equations are defined for lines in the coordinate system.

3 points
Simplify the following expression

Answers

I WILL USE THE LAWS OF EXPONENTS

[tex] {x}^{n} \times {x}^{m} \\ = {x}^{n + m} [/tex]

AND

[tex] \frac{{x}^{n}}{ {x}^{m} } \\ = {x}^{n - m} [/tex]

[tex] \frac{3 {x}^{ - 2 + 5} }{ {x}^{8} } \\ = \frac{3 {x}^{3} }{ {x}^{8} } \\ = 3 {x}^{3 - 8} \\ = 3 {x}^{ - 5} [/tex]

ATTACHED IS THE SOLUTION.

Answer:

i hope this one is good for you

Multiply by applying the commutative and/or associative property. (−310)(4.2)(−100) What is the product?

Answers

The product of the given expression is 1,30,200.

Given expression:-

(−310)(4.2)(−100)

We have to find the solution of the given expression by using either the commutative property or the associative property.

We will use the associative property of multiplication to find the product.

(−310)(4.2)(−100) = (-310)*(4.2*(-100)) = (-310)*(-420) = 1,30,200

Associative property

The associative property is a property of some binary operations, which means that rearranging the parentheses in an expression will not change the result.

Hence,

(a*b)*c = a*(b*c) , where a, b and, c are real numbers.

Commutative property

Commutative property In mathematics, a binary operation is commutative if changing the order of the operands does not change the result.

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If h = {(1,5), (-2,6), (4, -3), (6,9)} and
m = {(3,4), (2,-2), (-2,6), (5,8)}, what is (hm) (2)? (See image below)

Answers

Answer:  [tex](h\circ m)(2) = 6[/tex]

=======================================================

Explanation:

The notation [tex](h \circ m)(2)[/tex] refers to function composition

It's the same as writing [tex]h(m(2))[/tex]

According to

m = {(3,4), (2,-2), (-2,6), (5,8)}

We have m(2) = -2 since x = 2 leads to m(x) = -2

Then the output -2 is treated as the input of the outer function h(x)

Looking through

h = {(1,5), (-2,6), (4, -3), (6,9)}

shows that h(-2) = 6

Therefore, [tex]h(m(2)) = h(-2) = 6, \ \text{ and } \ (h\circ m)(2) = 6[/tex]

Optionally we can write out a table like shown below.

The row highlighted shows the input x = 2 leading to m(x) = -2, which is then plugged into h(x) to get 6 as the final output. Think of it like a chain of dominoes.

Solve the equation. (Enter your answers as a comma-separated list.)x210x − 6x10x = 27(10x)x =

Answers

Answer:

x = -3, 9

Explanation:

First, let us divide both sides of the equation by 10^x; this gives,

[tex]\frac{x^210^x-6x\times10^x}{10^x}=\frac{27\times10^x}{10^x}[/tex][tex]\Rightarrow x^2-6x=27[/tex]

subtracting 27 from both sides gives

[tex]x^2-6x-27=0[/tex]

The left-hand side can be factored as

[tex](x-9)(x+3)=0[/tex]

which gives us two further equations

[tex]\begin{gathered} x-9=0 \\ \boxed{x=9.} \end{gathered}[/tex][tex]\begin{gathered} x+3=0 \\ \Rightarrow\boxed{x=-3.} \end{gathered}[/tex]

Hence, the two solutions we get are x = 9 and x = -3.

Identify the degree and leading coefficient of the given power function

Answers

[tex]ax^n[/tex]

In a equation as above:

a is the leading coefficient

n is the degree

For the given equation:

[tex]-2x^2[/tex]The coefficient is: -2The degree is: 2

help me plssssssssssssss

Answers

Answer:)0.3 I Think

Step-by-step explanation:

1.8/6

The answer is:

10.8 cm

Explanation:

6 × 1.8 = 10.8

- firstly, remove the decimal point

- Secondly, multiply regularly 6 by 18

- You'll get 108 as an answer

- Take back the decimal point one to the left because you took it one to the right before, so you will have to do the inverse of the previous action

Good luck

In this triangle AB = (2x-1) and BC = (9-x) and Ac = (x-3) Find with proof the perimeter of Triangle ABC

Answers

The perimeter of the triangle ABC is 2x + 5

How to determine the perimeter

The formula for determining the perimeter of a triangle is expressed as;

Perimeter = a + b + c

Where;

a is the length of one side(hypotenuse)b is the length of the adjacent sidec is the length of the opposite side

From the information given, we have that;

AB = (2x-1) BC = (9-x) AC = (x-3

Substitute the values, we have;

Perimeter = 2x - 1 + 9 - x + x - 3

collect like terms

Perimeter = 2x - x + x - 1 + 9 - 3

add or subtract like terms

Perimeter = 2x + 5

The expression for the perimeter is 2x + 5

Hence, the perimeter is 2x + 5

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The surface area S(r) in square units of a cylinder with a volume of 18 cubic units is a function of its radius r in
units where S(r) = 2rr²+36. What is the surface area of a cylinder with a volume of 18 cubic units and a
radius of 3 units

Answers

The surface area of a cylinder with a volume of 18 cubic units and a radius of 3 units is 68.52 units².

How to calculate the surface area?

The volume of a cylinder is calculated as:

= πr²h

In this case, the volume is given as 18 units³. The computed height is 0.637 units.

The surface area will be:

= 2πr² + 2πrh

= 2(3.14 × 3²) + (2 × 3.14 × 3 × 0.637)

= 56.52 + 12

= 68.52 units²

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given the domain {-2,2,4} what is the range for relation 3x+y=3a (-9,3,9)b (9,-3,-9)c (-3,9,15)d (0,5,7)

Answers

the relation is 3x + y = 3

so,

y = 3x - 3

the domain is the values of x

so, substitute with each value of {-2,2,4} at the last equation of y

when x = -2 , y = 3*-2 - 3 = -6 - 3 = -9

when x = 2 , y = 3 * 2 - 3 = 6 - 3 = 3

when x = 4 , y = 3 * 4 - 3 = 12 - 3 = 9

so, the range will be {-9 , 3 , 9}

The correct answer is option a. (-9,3,9)x

shipping company A charges a flat fee of $7 plus $0.50 for each pound shipping company B charges a flat fee of $11 plus $0.25 for each pound

Answers

The number of pounds when company A and B have same amount is 16 pounds.

What is an equation?

A mathematical equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe a scenario.

In this case, shipping company A charges a flat fee of $7 plus $0.50 for each pound shipping company B charges a flat fee of $11 plus $0.25 for each pound.

Let each pound be represented by p.

Company A will be 7 + 0.50p

Company B will be 11 + 0.25p

We will equate both equations.

7 + 0.50p = 11 + 0.25p

Collect like terms

0.50p - 0.25p = 11 - 7

0.25p = 4

Divide

p = 4 / 0.25

p = 16

The number of pounds is 16 pounds.

The complete information is given below.

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shipping company A charges a flat fee of $7 plus $0.50 for each pound shipping company B charges a flat fee of $11 plus $0.25 for each pound. How many pounds will give an equal amount?

The area of the arctic ocean is about 5 millon square miles. this is about 16% of the area of which ocean pacific 64 million square miles or indian 25 million square miles

Answers

The answer of this question is Indian Ocean

It is the Arctic Ocean.

18% of the Indian Ocean's surface, and the size of 12% of the Atlantic Ocean.

These two oceans are the closest to the Arctic Ocean in terms of size. It depends on whose answers are listed in the table because they are both close to the 16% mark. The closest is the Indian.

Of the five major oceans in the globe, the Arctic Ocean is the smallest and shallowest. It is regarded as the coldest ocean and covers an area of roughly 14,060,000 km2 (5,430,000 sq mi). Despite some oceanographers referring to it as the Arctic Mediterranean Sea, the International Hydrographic Organization (IHO) classifies it as an ocean. Approximately, it has been compared to an estuary of the Atlantic Ocean. In addition, It's been analogized to roughly an estuary of the Atlantic Ocean.

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Select all of the following equation(s) that are quadratic in form.

Answers

A C E

Those are the answers

Answer:

A- x4 – 6x2 – 27 = 0D- 6(2x + 4)2 = (2x + 4) + 2E- 6x4 = -x2 + 5

Step-by-step explanation:


Which line on the xy-plane has a positive slope?

Line 1
Line 2
Line 3
Line 4

Please only answer with the options provided

Answers

Line 2 has a positive slope with respect to the angle made with the x-axis.

What is the slope?

Slope refers to the tan of the angle with the x-axis. For example. if the line makes an angle β with the x-axis, then the slope is the tan β.

Now taking line 1,

The line is parallel to the x-axis, therefore the line makes 0 angles with the axis which gives slope 0.

Now taking line 2,

The line passes to the origin and has the equation x=y, thus the slope is 1

Now taking line 3,

The line is parallel to the y-axis, therefore the line makes 90°, thus the slope is 1/0 which gives infinity.

Now taking line 4,

The line is making an angle of 60°, therefore the line is having a slope:       - [tex]\sqrt{3}[/tex]

Hence considering the above values, line 2 has a positive slope only.

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WILL GIVE BRAINLIEST!!! solve the problem fill in the blanks to show your work

Answers

By performing mathematical operations, the answer to the given expression (- 1.2(2/5) ÷ -2) is 0.24.

What are mathematical operations?An operation is a function in mathematics that transforms zero or more input values into a clearly defined output value. The operation's arity is determined by the number of operands. The four mathematical operations are functions that take input values, or numbers, and turn them into output values, or yet another number. They are multiplication, division, addition, and subtraction.

So, the values in the blank will be:

= - 1.2(2/5) ÷ -2= -1.2(0.4) ÷ -2= - 0.48 ÷ -2= 0.24

Therefore, by performing mathematical operations, the answer to the given expression (- 1.2(2/5) ÷ -2) is 0.24.

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Miguel knows the total profit he earns is proportional to the number of shirts he sells, and he wants to create an equation which models this relationship so that he can predict the total profit from selling any number of t-shirts. the repair time for air conditioning units is believed to have a normal distribution with a mean of 38 minutes and a standard deviation of 12 minutes. find the probability that the repair time for an air conditioning unit will be between 29 and 44 minutes. business level strategies group of answer choices are concerned with how single business companies choose strategies. pertain to the operation of multiple businesses. include only the generic strategies. are concerned with how companies choose their mixtures of different businesses. Fill in the blanks with appropriate verbs. Remember to observe the rules regarding thesequence of tenses.Part 11. They sold the house because it .. old.iswashas been 2. I found out that he ..is lyingwas lyinghas lied3. I never thought that I . see him again.willwouldhad 4. She replied that she . better.feelfeelsfeltPart 21. I wish you _______ here with me today. (to be)2. We missed the train since we _______ home late. (leave)3. Priya says that she _______ the guy properly. (see negative)4. I wish my brother _______ what he was sacrificing to get what he wanted. (understand)5. They did not know why Pranav _______ that way. (behave)6. He _______ to go home only after he finishes all that has been assigned to him. (allow)7. My parents acted as if they _______ anything about the accident. (know negative)8. Unless you _______ what you feel (express), nobody _______ what is really going on with you. (know)9. The teacher taught us that the Sun _______ in the East. (rise)10. Her mom thinks that it _______ a good idea. (to be)Part 3Subject-Verb Agreement Practice Exercises 1. Everyone (has/have) done his or her homework. 2. Each of the students (is/are) responsible for doing his or her work. 3. Either my father or my brothers (is/are) going to sell the car. 4. Neither my sisters nor my mother (is/are) going to sell the house. 5. The samples on the tray in the lab (need/needs) testing. 6. Mary and John usually (plays/play) together. 7. Both of the dogs (has/have) collars. 8. Neither the dogs nor the cat (is/are) very hungry. 9. Either the girls or the boy (walk/walks) in the evening. 10. Either the boy or the girls (walk/walks) in the evening. 11. At the end of the fall (comes/come) the hard tests. 12. The slaughter of animals for their fur (has/have) caused controversy. 13. The student, as well as his teacher, (was/were) going on the field trip. 14. The hard tests (comes/come) at the end of the fall. 15. Both of my roommates (has/have) decided to live in the dormsPart 4Parallelism Practice Answer Sheet 1. In the spring, summer, or in the winter, we will go to Germany. 2. Eric Foreman decorates the Christmas tree, picks up his grandma from the nursing home, and friends are invited over for dinner. 3. The internet can be used to find word meanings, medical information, and locating hotels. 4. Tennis requires hand-eye coordination, flexibility, and to be able to concentrate. 5. The teacher has the responsibility of providing supplemental help and to review all test material with the students. 6. Veronica threw the rock at the window and the glass was broken. Part 5Making Pronouns and Antecedents Agree Directions: Circle the pronoun that correctly completes each sentence. Also, underline the antecedent(s) of the pronoun. 1) When the team scored a touchdown, the crowd threw (its, their) hats in the air. 2) Neither Carmen nor her sisters have bought a gift for (her, their) brother. 3) Scuba divers are taught that (you, they) should check (your, their) equipment. 4) Patrick and Warren will present (his, their) routine before the other gymnasts do. 5) Not one hiker would set out without (his or her, their) compass. 6) Sal and Marcus shop for clothes here because (you, they) can find good bargains. 7) Either Debbie or Melinda will bring (her, their) ice skates. 8) Anyone who wants a job should bring (his or her, their) application to me. 9) Arctic explorers discover that (you, they) cannot expose skin to the icy air. 10) I told everyone in the boys choir that (you, he) had to bring a boxed lunch. 11) Neither Carl nor Mark asked (his, their) parents to chaperone the dance. 12) The town council will be presenting (its, their) own proposal for the new park. 13) Fran always liked walking home because (you, she) saved money on bus fare. 14) If (you, they) should fall, experienced in-line skaters know that knee and elbow pads will reduce the risk of injury. 15) Neither Kate nor Anne has had (her, their) vacation pictures developed yet. Use the distance formula, slopes and your knowledge of characteristics of differenttypes of quadrilaterals to determine the type of quadrilateral formed by thefollowing four points (-3, 1) , (-2, 3) , (0, 4) , (-1, 2) round 6.991 to two decimal places xThe number of hours of daylight in a city in the Northern hemisphere shows periodic behavior over time. The average number of daylight hours is 12. The maximum number of daylight hours is 14.4. The period is 365 days. The day with the least sunlight is December 20.Which equation models the number of hours of daylight on the day that comes t days after the shortest day of the previous year? Linda's mean speed on her drive home from Cincinnati is 54 mph. If the total trip is 378 miles, how long should she expect the drive to take? Round your answer totwo decimal places, if necessary, Which equation is true when the value of x is - 12 ?F: 1/2x+ 22 = 20G: 15 - 1/2x = 21H: 11 - 2x = 17 J: 3x - 19 = -17 which term best describe decisions that are routine? group of answer choices programmed nonprogrammed heuristics emotional intelligence bounded rationality Pls help with the question in the picture. 20 Points and brainliest.