Line AB and line DA are?

Line AB And Line DA Are?

Answers

Answer 1

Answer:

perpendicular

Step-by-step explanation:

Square

Rectangle

Right triangle

Cube

Rectangular prism

are all examples of perpendicular shapes

 i hope this helped

have a good day ^^


Related Questions

What does the point (2, 24 ) represent in the situation ?K =

Answers

Given point:

(2, 24)

To find the constant proportionality:

In general, the constant proportionality is

[tex]\begin{gathered} k=\frac{y}{x} \\ k=\frac{24}{2} \\ k=12 \end{gathered}[/tex]

Hence, the constant proportionality is 12.

Consider the equation. Y=x^2+1The next step in graphing a parabola is to find points that will determine the shape of the curve. Find the point on the graph of this parabola that has the x-coordinated x= -2

Answers

The graph is

[tex]y=x^2+1[/tex]

its a upword parabola and vertex of graph is (0,1)

the point on a graph x=-2

[tex]\begin{gathered} y=x^2+1 \\ y=(-2)^2+1 \\ y=4+1 \\ y=5 \end{gathered}[/tex]

so graph of function is :

(B)

the coordinate of graph then x=1

[tex]\begin{gathered} y=x^2+1 \\ y=1^2+1 \\ y=2 \end{gathered}[/tex]

the value of y is 2 then value of x=1

it snowed 20 inches in 10 days in Montreal. Find the unit rate.

Answers

the expression is

[tex]\frac{20}{10}[/tex]

We must divide each value by the value of the denominator to obtain the unit ratio

so

[tex]\frac{\frac{20}{10}}{\frac{10}{10}}=\frac{2}{1}=2[/tex]

the unit ratio is 2 inches per day

In the figure below, m∠1 = 8x and m∠2 = (x-9). Find the angle measures.

Answers

Answer:

• m∠1 =168 degrees

,

• m∠2 =12 degrees

Explanation:

From the diagram, Angles 1 and 2 are on a straight line.

We know that the sum of angles on a straight line is 180 degrees.

Therefore:

[tex]m\angle1+m\angle2=180^0[/tex]

Substituting the given values, we have:

[tex]\begin{gathered} 8x+x-9=180^0 \\ 9x=180+9 \\ 9x=189 \\ x=\frac{189}{9} \\ x=21 \end{gathered}[/tex]

The measures of angles 1 and 2 are:

[tex]\begin{gathered} m\angle1=8x=8\times21=168^0 \\ m\angle2=x-9=21-9=12^0 \end{gathered}[/tex]

The measures of angles 1 and 2 are 168 degrees and 12 degrees respectively.

Assume that 5 cards are drawn from a standard deck of 52 cards. How many ways can I get 3 sevens, 1 six and 1 five?

Answers

Answer

64 ways

Explanation

In a standard deck of 52 cards, there are four 'sevens', four 'sixes' and four 'fives'.

Using Combination formula, the number of ways to pick 3 sevens, 1 six and 1 five is given as

⁴C₃ × ⁴C₁ × ⁴C₁

= 4 × 4 × 4

= 64

Hope this Helps!!!

What is the area of the composite figure? 9 in. 12 in. 24 in 20 in 12 in 15 in 30 in. O 1,182 square inches O 1,236 square inches O 978 square inches O 924 square inches

Answers

Given data:

The given figure is shown.

The area of the given figure is,

[tex]\begin{gathered} A=(24\text{ in)}(30\text{ in)+}\frac{1}{2}(24\text{ in)(9 in)+}\frac{1}{2}(15\text{ in)}(20\text{ in)} \\ =720\text{ sq-inches+108 sq-inches+150 sq-inches} \\ =978\text{ sq-inches} \end{gathered}[/tex]

Thus, the area of the composite figure is 978 sq-inches.

What is the equation of the following graph?A. f(x) = 2(3*)OB. f(x) = (4)Oc. f(x) = 3(2)D. f(x) = 5(2") y

Answers

Given

The graph,

To find:

The equation representing the given graph.

Explanation:

It is given that,

That implies,

From the given graph,

It is clear that the curve passes through, (0,5).

Then, for x=0,

Consider the equation,

[tex]\begin{gathered} f(0)=5(2^0) \\ =5\times1 \\ =5 \end{gathered}[/tex]

Which is equal to y=5.

Hence, the equation representing the above graph is,

[tex]f(x)=5(2^x)[/tex]

help meeeeeeeeee pleaseee !!!!!

Answers

The values of the composition of the functions are:

(f o g)(x) = -x³ - x + 1

(g o f)(x) = -x³ - x - 1

How to Determine the Composition of a Function?

To find the value of the composition of a given function, the inner function is first evaluated, then the output of the inner function is then replaced into the outer function and simplified.

Given the functions:

f(x) = x³ + x + 1g(x) = -x

(f o g)(x) = f(g(x))

Substitute -x for x into the function f(x) = x³ + x + 1:

f(g(x) = (-x)³ + (-x) + 1

f(g(x) = -x³ - x + 1

(g o f)(x) = g(f(x))

Substitute x³ + x + 1 for x into the function g(x) = -x:

g(f(x)) = -(x³ + x + 1)

g(f(x)) = -x³ - x - 1

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Justin and poor friends are going to a movie each person buys a movie ticket that costs one 50 less than the square of $3 of the friends bought a bag of popcorn and a small soda that cost $2.25 more than the score of $2 right expression that can be used to find the total amount that Justin is trying to at the movies

Answers

Answer:

4(3² - 1.5) + 3(2² + 2.25)

Explanation:

First, they buy 4 tickets that cost $1.50 less than the square of $3. So, we can express that as follows:

4 x (3² - 1.5)

Then, they buy 3 bags of popcorn and a small soda that cost $2.25 more than the square of $2, so the expression for this is:

3 x (2² + 2.25)

Therefore, the numerical expression that can be used to find the total amount is the sum of the expression above:

4 x (3² - 1.5) + 3 x (2² + 2.25)

4(3² - 1.5) + 3(2² + 2.25)

So, the answer is:

4(3² - 1.5) + 3(2² + 2.25)

In the right trapezoid ABCD, BC is parallel to AD, and AD is contained in the line whose equation is y=−12x+10 y = − 1 2 x + 10 . What is the slope of the line containing BC? Explain how you got your answer

Answers

The slope of BC should be -12 because it is parallel to AD so the slope should be the same

Finding the intercepts, asymptotes, domain, and range from the graph of a rational function

Answers

From the given graph

The asymptotes are the dotted lines in the graph, then

The vertical asymptote is x = 3

The horizontal asymptote is y = 1

The domain is all values of x that make the function defined

Since x can not equal 3, then

The domain is

[tex]D=(-\infty,3)\cup(3,\infty)[/tex]

The range is all values of y corresponding to the values of the domain (x)

Since y can not equal 1, then

The range is

[tex]R=(-\infty,1)\cup(1,\infty)[/tex]

The x-intercept is the value of x at the graph intersecting the x-axis

Since the graph intersects the x-axis at the point (6, 0), then

The x-intercept is 6

The answer is the first choice 6

The y-intercept is the value of y at the graph intersection the y-axis

Since the graph intersects the y-axis at point (0, 2_, then

The y-intercept is 2

The answer is the second answer 2

Hi I am really confused on this problem and would like help on solving it step by step

Answers

Given:

An exponential function represents the graph of some of the functions given in the option.

Required:

The correct equation represents the given function.

Explanation:

The graph of the function

[tex]y\text{ = 2\lparen}\sqrt{0.3})^x[/tex]

is given as

Also, the graph representing the function

[tex]y=2e^{-x}[/tex]

is given as

Answer:

Thus the correct answer is option B and option D.

1. Which expression is equivalent to 2 x (5 x 4)?a. 2+ (5 x 4)b. (2 x 5) x 4c. (2 x 5) x 4d. (5 x 4) x (2 X4)

Answers

We are given the following expression

[tex]2\times(5\times4)[/tex]

Recall the associative property of multiplication

[tex]a\times(b\times c)=(a\times b)\times c[/tex]

The associative property of multiplication says that when you multiply numbers, you can group the numbers in any order and still you will get the same result.

So, if we apply this property to the given expression then it becomes

[tex]2\times(5\times4)=(2\times5)\times4[/tex]

Therefore, the following expression is equivalent to the given expression.

[tex](2\times5)\times4[/tex]

the radius of a circle is 9 inches. what is the circumference?give the exact answer in simplest form.

Answers

Step 1

The circumference of a circle is given by;

[tex]2\pi r[/tex]

where;

[tex]\begin{gathered} r=9in \\ \end{gathered}[/tex]

Step 2

Find the circumference

[tex]\begin{gathered} C=2\times\pi\times9 \\ C=18\pi in\text{ches} \end{gathered}[/tex]

Hence, in terms of π the circumference of the circle=18πinches

65+ (blank) =180
11x + (blank)=180
11x =
x =

Answers

The angle x has a measure of 13 degrees

What are angles?

Angles are the measure of space between lines

How to determine the measure of the angle x?

The figure represents the given parameter

On the figure, we have the following parameters:

Angle 1 = 54

Angle 2 = 11x - 7

Angle 5

From the figure, angles 1 and angle 5 are corresponding angles

Corresponding angles are congruent angles

So, we have

Angle 1 = Angle 5

This gives

Angle 5 = 54

Also, we have

Angle 5 and Angle 2 are supplementary angles

This means that

Angle 5 + Angle 2 = 180

Substitute the known values in the above equation

So, we have

54 + 11x - 17 = 180

Evaluate the like terms

11x = 143

Divide both sides by 11

x = 13

Hence, the value of x is 13 degrees

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Put these five fractions in order, left to right, from least to greatest. 1 /3 2 /7 3/10 4/13 5/17

Answers

The five fractions can be arranged in order, from the left to right, from least to greatest as : 5/17 , 3/10 , 4/13 , 1 /3.

How can the fraction can be arranged from the  from least to greatest?

The fraction can be arranged from the  from least to greatest by firstly convert the fraction to the decimal numbers so that one c b able to identify the highest and the lowest values.

The given fractions  1 /3 2 /7 3/10 4/13 5/17 can be converted to decimal numbers as 0.33 , 0.67 , 0.30 , 0.31 , 0.29 respectively and this can be arranged as 5/17 , 3/10 , 4/13 , 1 /3.

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How can you use transformations to verify that the triangles are similar?

Answers

We need to know about congruency to solve the problem. Two pairs of congruent angles prove that the triangles are similar.

We can define similarity of two geometrical objects on a plane as possibility to transform one into another using dilation optionally combined with congruent transformations of parallel shift, rotation and symmetry. We need to use transformation to verify whether the triangles in the diagram are similar. The two triangles have a common angle D and angles ABD and ECD are equal. Thus we can say that we have two pairs of congruent angles in the two triangles, so the two triangles are similar.

Therefore the triangles are similar since they have two pair of congruent angles.

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Fill in the missing numbers to complete the linear equation that gives the rule for this table.x: 1, 2, 3, 4y: 8, 28, 48, 68Y = ?x + ?

Answers

we have a table that describe the line and we need to finde the slope and the intercept with the y axis, so the slope can be found with this equation:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

So I use the numbers in the table to fill the equation so:

[tex]\begin{gathered} m=\frac{28-8}{2-1} \\ m=\frac{20}{1} \\ m=20 \end{gathered}[/tex]

now for the intercept we replace x=0 and use the coordinate (1,8) so:

[tex]20=\frac{y-8}{0-1}[/tex]

and we solve for y so:

[tex]\begin{gathered} -20=y-8 \\ -20+8=y \\ -12=y \end{gathered}[/tex]

So the equation is:

[tex]y=20x+(-12)[/tex]

Wilson paints 40% of a bookcase in 20 minutes.How much more time will it take him to finish the bookcase?1. Write an equation using equal fractions to represent this situation. Use a box to represent the time it takes to paint the whole bookcase. 2 Use your equation to find the amount of time it will take Wilson to paint the whole bookcase. Explain how you found this answer. 3. How much time will it take Wilson to finish painting the bookcase? Explain.

Answers

[tex]\begin{gathered} 1)\frac{2}{5}x=\frac{3}{5}\cdot20 \\ 2)50\min \\ 3)30\min \end{gathered}[/tex]

We can start that, by rewriting 40% as a fraction:

[tex]\frac{40}{100}=\frac{2}{5}[/tex]

So let's find how long it will take to finish this painting, by writing the following fractions, and from them an equation:

1)

[tex]\begin{gathered} \frac{2}{5}---20 \\ \frac{3}{5}---x \\ \frac{2}{5}x=\frac{3}{5}\cdot20 \\ \frac{2}{5}x=12 \end{gathered}[/tex]

So this is the equation, let's find the time to complete the painting:

[tex]\begin{gathered} \frac{2}{5}x=12 \\ 5\times\frac{2}{5}x=12\times5 \\ 2x=60 \\ \frac{2x}{2}=\frac{60}{2} \\ x=30 \end{gathered}[/tex]

So it will take plus 30 minutes for to Wilson finish the bookcase. Note that

5/5 is equivalent to the whole bookcase or 100%

2) The amount of time to paint this whole bookcase, is found taking the initial 20 minutes and adding to them the 30 minutes we can state that the painting overall takes 50 minutes

3) Sorting out the answers:

[tex]\begin{gathered} 1)\frac{2}{5}x=\frac{3}{5}\cdot20 \\ 2)50\min \\ 3)30\min \end{gathered}[/tex]

2. Mr. Cole took a walk with his wife. They walked 4.4 miles in 1.4 hours. What was their average speed inmiles per hour?

Answers

Mr. Cole took a walk with his wife.

They walked 4.4 miles in 1.4 hours.

So we have

Distance = 4.4 miles

Time = 1.4 hours

We are asked to find the average speed in miles per hour.

The average speed is given by

[tex]S=\frac{D}{t}[/tex]

Where D is the distance and t is the time.

[tex]S=\frac{4.4}{1.4}=3.142[/tex]

Therefore, their average speed is 3.142 miles per hour.

if sound travels at 335 miles per second through air and a plane is 2680 miles away how long will the sound take to reach the people

Answers

It will take 8 seconds for the sound to reach the people

Here, we want to calculate time

Mathematically;

[tex]\begin{gathered} \text{time = }\frac{dis\tan ce}{\text{speed}} \\ \end{gathered}[/tex]

With respect to this question, distance is 2680 miles while speed is 335 miles per second

Substituting these values, we have;

[tex]\text{time = }\frac{2680}{335}\text{ = 8}[/tex]

Can anyone help? I’ve asked this same question 6 times!

Answers

Answer: 54080

Since the first number cannot be 0 or 1, there would be only 8 possible numbers for the first number. For the second number, we can now have all 10 numbers.

The number of different combinations of numbers would then be:

[tex]8\times10=80[/tex]

Then, for the first letter, we have 26 possible letters, as well as the second letter. The number of different combinations of letters would then be:

[tex]26\times26=676[/tex]

So, for a license plate that has 2 numbers and 2 letters, where the first number cannot be 0 or 1, there would be:

[tex]8\times10\times26\times26=54080[/tex]

determine the value of x nodes following quadrilateral ​

Answers

The value of x nodes given quadrilateral ​is 80° which is determined by the measure of the supplemental interior angle.

What is the quadrilateral?

A quadrilateral is a polygon with four sides. This also indicates that a quadrilateral has four vertices and four angles.

Exterior Angle is defined as an angle produced on the outside of a polygon by extending the sides of the polygon.

First, we have to find the measure of the supplemental interior angle

Here take the exterior angle1 = 100° and  exterior angle2 = 60°, find its interior angles

⇒ 100 + int.1 = 180 ⇒ int.1 = 180 - 100 = 80°

⇒ 60 + int.2 = 180 ⇒ int.2 = 180 - 60 = 120°

Since the sum of all interior angles of a polygon = 360°

As per the given figure,

x + 80 + x + 120 = 360

2x = 360 - 200

2x = 160

x = 80°

Therefore, the value of x nodes given quadrilateral ​is 80°.

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Select the sequence of transformations that will carry rectangle A onto rectangle A'. A) reflect over y-axis, rotate 90° clockwise, then reflect over x-axis B) rotate 180° clockwise, reflect over y-axis, then translate 3 units left C) rotate 180° clockwise, reflect over x-axis, then translate 2 units left D) rotate 90° clockwise, reflect over y axis, then translate 3 units left

Answers

Let:

[tex]\begin{gathered} A=(3,4) \\ B=(4,2) \\ C=(1,-1) \end{gathered}[/tex]

and:

[tex]\begin{gathered} A^{\prime}=(-3,1) \\ B^{\prime}=(-4,-1) \\ C^{\prime}=(-1,-4) \end{gathered}[/tex]

After a reflection over the y-axis:

[tex]\begin{gathered} A\to(-x,y)\to A_1=(-3,4) \\ B\to(-x,y)\to B_1=(-4,2) \\ C\to(-x,y)\to C_1=(-1,-1) \end{gathered}[/tex]

After a translation 3 units down:

[tex]\begin{gathered} A_1\to(x,y-3)\to A_2=(-3,1) \\ B_1\to(x,y-3)\to B_2=(-4,-1) \\ C_1\to(x,y-3)\to C_2=(-1,-4) \end{gathered}[/tex]

Since:

[tex]\begin{gathered} A_2=A^{\prime} \\ B_2=B^{\prime} \\ C_2=C^{\prime} \end{gathered}[/tex]

The answer is the option K.

use the distributive property to simplify the left side of the equation 2(x/8+3)=7+1/4x

Answers

Given data:

The given expression is 2(x/8+3)=7+1/4x.

The given expression can be written as,

2(x/8)+2(3)=7+1/4x

x/4+6=7+1/4x

x/4-1/4x=7-6

x/4-1/4x=1

x^(2)-1=4x

x^(2)-4x-1=0

Thus, the final expression is x^(2)-4x-1=0 after applying distributve property on left side.

Wayne has a bag filled with coins. the bag contains 7 quarters,8 dimes,3 nickels, and 9 pennies. he randomly chooses a coins from the bag. what is the probability that Wayne chooses a quarter or nickel?

Answers

Wayne has a bag filled with coins.

Number of quarters = 7

Number of dimes = 8

Number of nickels = 3

Number of pennies = 9

So, the total number of coins is

Total = 7 + 8 + 3 + 9 = 27

What is the probability that Wayne chooses a quarter or nickel?

How many coins are either quarter or nickel?

quarter or nickel = 7 + 3 = 10

So, the probability is

[tex]P(quarter\: or\: nickel)=\frac{10}{27}[/tex]

Therefore, the probability that Wayne chooses a quarter or nickel is 10/27

Bo rolls a fair 6-sided number cube then chooses one card from a deck of four cards numbered 1through 4. What is the probability that the number cube and the card have the same number?

Answers

the probability is 1 whole number 1 over 2

martin earns $23.89 per hour proofreading ads at a local newspaper.His weekly wage w can be describe by the equation w= 23.89h, where h is the number of hours worked (a). write the equation in function notation (b). find f(23) f(35) and f(41)

Answers

SOLUTION

(a) The equation in function notation is

[tex]\begin{gathered} w=23.89h=f(h) \\ w=f(h)=23.89h \end{gathered}[/tex]

Hence the answer is

[tex]w=f(h)=23.89h[/tex]

(b). f(23) becomes

[tex]\begin{gathered} f(h)=23.89h \\ f(23)=23.89\times23 \\ f(23)=549.47 \end{gathered}[/tex]

f(35) becomes

[tex]\begin{gathered} f(h)=23.89h \\ f(35)=23.89\times35 \\ f(35)=836.15 \end{gathered}[/tex]

f(41) becomes

[tex]\begin{gathered} f(h)=23.89h \\ f(41)=23.89\times41 \\ f(h)=979.49 \end{gathered}[/tex]

a coral reef grows 0.15 m every week. how much does it grow in 13 weeks? in centimeters

Answers

Given:

A coral reef grows 0.15 m every week.

Coral reefs grow 13 times 0.15m for 13 weeks.

[tex]=13\times0.15m[/tex][tex]=1.95\text{ m}[/tex]

We need to convert m into cm.

[tex]1m=100cm[/tex]

Multiply 1.95m by 100, we get

[tex]1.95\times100=195cm[/tex]

Hence a coral reef grows 195cm in 13 weeks.

Question 2, please let me know if you have any questions regarding the materials, I'd be more than happy to help. Thanks!

Answers

Mean Value Theorem

Supposing that f(x) is a continuous function that satisfies the conditions below:

0. f(x) ,is continuous in [a,b]

,

1. f(x) ,is differentiable in (a,b)

Then there exists a number c, s.t. a < c < b and

[tex]f\mleft(b\mright)-f\left(a\right)=f‘\left(c\right)b-a[/tex]

However, there is a special case called Rolle's theorem which states that any real-valued differentiable function that attains equal values at two distinct points, meaning f(a) = f(b), then there exists at least one c within a < c < b such that f'(c) = 0.

As in our case there is no R(t) that repeats or is equal to other R(t), then there is no time in which R'(t) = 0 between 0 < t < 8 based on the information given.

Answer: No because of the Mean Value Theorem and Rolle's Theorem (that is not met).

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