Mathematics High School

the triangles below are similar. Find the value of x.

Answers

Answer 1

Answer:

x=9

Step-by-step explanation:

both sides are 14 and the other triangle is 7 so 14/7=2 and 18/2=9

Related Questions

WHATS THE ANSWER PLSZ HELP

Answers

Answer:

a. 0.8 = 0.5 + 0.3

b. 30.9 = 2.7 + 28.2

c. 15.4 = 3.1 + 2.4 + 9.9

d. 17.4 = 15.2 + 1.4 + 0.8

e. 42.5 = 39.2 + 2.5 + 0.8

f. 8 = 4 + 4

g. 35 = 23 + 8 + 4

h. 84 = 53 + 3 + 28

i. 121 = 11 + 17 + 93

j. 35 = 24 + 8 + 3

Using the formula °F = 1.8°C +32°, find the temperature in
Degrees Celsius of an oven that is 500°F.

Answers

Using the formula °F = 1.8°C +32°, The temperature in Degrees Celsius of an oven that is 500°F is 260°C.

What is Fahrenheit?

For everyday purposes, Fahrenheit is used in the United States, its territories, and related states (all of which are covered by the U.S. National Weather Service), as well as in Liberia, the Cayman Islands, and other places. For instance, temperatures for freezing, cooking, and other conditions are typically given in degrees Fahrenheit in the United States.

What is Celsius?

On the Celsius scale, one of the two temperature scales used in the International System of Units along with the Kelvin scale, the unit of temperature is the degree Celsius. The term "degree Celsius" can be used to describe either a specific temperature on the Celsius scale or a measurement of the difference between two temperatures.

Here,

°F=1.8°C+32°

500°F=1.8°C+32°

1.8°C=468°F

°C=468/1.8

°C=260°C

The temperature in Degrees Celsius of an oven that is 500°F is 260°C by using the formula °F = 1.8°C +32°.

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Suppose you work for a large coffee distributor that has a secret coffee blend it sells to local stores. You mix the House blend with the Organic Free Trade blend, but always in the same proportion. Yesterday, you mixed 140 pounds of the House blend with 168 pounds of the Organic Free Trade blend. Today, there is 130 pounds of the House coffee left in stock. How many pounds of the Organic Free Trade coffee should you mix with it to get your secret blend?

Answers

The ratio House blend/Organic Free Trade blend is the same and must remain the same.

So, the proportion is:

[tex]\frac{140}{168}=\frac{130}{x}[/tex]

Where x is the unknown amount of the Organic Free Trade blend.

So, from the proportion, we have:

[tex]\begin{gathered} 140\cdot x=168\cdot130 \\ 140x=21840 \\ \frac{140x}{140}=\frac{21840}{140} \\ x=156 \end{gathered}[/tex]

Answer: 156 pounds of Organic Free Trade blend

How to factorize this?
[tex]5x {}^{3} - 9x { }^{2} - 17x - 3[/tex]

Answers

The expression when factorized is (5x + 1)(x + 1)(x - 3)

How to factorize the expression?

From the question, the expression is given as

5x³ - 9x² - 17x - 3

Express 9x² as 5x² - 15x² + x²

So, we have

5x³ - 9x² - 17x - 3 = 5x³ + 5x² - 15x² + x² - 17x - 3

Express -17x as x - 3x - 15x

So, we have

5x³ - 9x² - 17x - 3 = 5x³ + 5x² - 15x² + x² + x - 3x - 15x - 3

Rearrange the terms

5x³ - 9x² - 17x - 3 = 5x³ + 5x² - 15x² - 15x + x² + x - 3x - 15x - 3

Group the terms in 4's

5x³ - 9x² - 17x - 3 = (5x³ + 5x² - 15x² - 15x) + (x² + x - 3x - 15x - 3)

Factorize each group

5x³ - 9x² - 17x - 3 = 5x(x² + x - 3x - 3) + 1(x² + x - 3x - 3)

So, we have

5x³ - 9x² - 17x - 3 = (5x + 1)(x² + x - 3x - 3)

Factorize x² + x - 3x - 3

5x³ - 9x² - 17x - 3 = (5x + 1)(x(x - 3) + 1(x - 3))

So, we have

5x³ - 9x² - 17x - 3 = (5x + 1)(x + 1)(x - 3)

Hence, the factorized expression is (5x + 1)(x + 1)(x - 3)

Answers

Answer: see the attachment

Step-by-step explanation:

h = # of hours worked

{10h and {15(h-40)+400 are both functions i.e. simplified equations

simply fit the # of hours worked in each equation to get the values. you can also double check your work or to understand better

to do so, take (h) # of hours worked and multiply by the pay rate. This gives the total pay over the work week. then take the extra hours beyond the 40. ie 7. if $10 is the pay rate per hour and OT is 1.5xnormal pay then 10x1.5=15. Multiply 15x7 and you get 105 then add to 400 and you get $505. 400 comes from 10(40).

part b and c is just setting the functions.

so instead of 40 hrs per week your full-time rate is now 38 and anything beyond would be counted as overtime. so a normal work week of 38 hrs x the $10/hr would equate to $380 for the week.

part c, if the hours per week were kept normal at 40hrs/week but the pay rate is increased this then changes 10 = h to 12 = h. if 12=h and you work 40hrs/week, then 12(40)=$480 for the normal work week. also this changes your OT pay from 10(1.5)=15 to 12(1.5)=$18

The perimeter of a rectangular garden is 252 feet. If the width of the garden is 53 feet , what is its length

Answers

The perimeter of a rectangle is given by:

[tex]P=2l+2w[/tex]

Where:

P = perimeter = 252 ft

w = width = 5 ft

l = lenght

Then, substitute the values:

[tex]252=2l+2(53)[/tex]

And solve for l:

[tex]\begin{gathered} 252=2l+106 \\ 252-106=2l+106-106 \\ 146=2l \\ \frac{146}{2}=\frac{2l}{2} \\ l=73 \end{gathered}[/tex]

Answer: length = 73 ft

(10, 10) А (2, 4) Find point C so that that the ratio of length Ad to the length of CB is 3:1

Answers

ANSWER

[tex](8,8.5)[/tex]

EXPLANATION

When a line segment is divided by ratio m:n, the coordinates of the point of division are given as:

[tex](\frac{mx_2+nx_1}{m+n},\frac{my_2+my_1}{m+n})[/tex]

where (x₁, y₁) and (x₂, y₂) are the coordinates of the ends of the line.

Therefore, we have that:

[tex]\begin{gathered} m=3;n=1 \\ (x_1,y_1)=(2,4) \\ (x_2,y_2)=(10,10) \end{gathered}[/tex]

Therefore, the coordinates of point C are:

[tex]\begin{gathered} (\frac{3\cdot10+1\cdot2}{3+1},\frac{3\cdot10+1\cdot4}{3+1}) \\ (\frac{30+2}{4},\frac{30+4}{4}) \\ (\frac{32}{4},\frac{34}{4}) \\ (8,8.5) \end{gathered}[/tex]

Those are the coordinates of C.

I need answer to this question if you could help me?

Answers

Answer:

78.5 square meters

Explanation:

• Given:, A circle with a radius of 5 meters.

• To find:, Area of the circle

The area of a circle is calculated using the formula:

[tex]A=\pi r^2[/tex]

Substitute 5 for r and 3.14 for π:

[tex]\begin{gathered} A\approx3.14\times5^2 \\ =78.5\text{ square meters} \end{gathered}[/tex]

The area of the circle is approximately 78.5 square meters.

Select the correct answer.
Which of the following represents a function?
A. The first graph
B. The second graph
C. {(0,1), (3,2), (-8,3), (-7,2), (3,4)}
D.
x -5 -1 9 8 -1
y 1 7 23 17 1

Answers

The relation that represents a function is given as follows:

B. The second graph.

When does a relation represents a function?

A relation represents a function if each value of the input is mapped to only one value of the output, that is, one input cannot be mapped to multiple outputs.

For a point in the standard format (x,y), we have that:

x is the input.y is the output.The meaning is that the input given by the x-coordinate is mapped to the output given by the y-coordinate.

In a graph, the equivalent to this is that there can be no vertically aligned points.

Then, for the options in this problem, we have that:

a does not represent a function, as the input -1 is mapped to two outputs, meaning that there are vertically aligned points.b represents a function, as each input value(-4, 9, 13 and -7) is mapped to only one output.c does not represent a function, as the input 3 is mapped to two outputs.d does not represent a function, as the input -1 is mapped to two outputs.

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4. Mark's age, when doubled, is Peggy's age. Peggy is 6 years older than Chris. Chris is 6 years older than
Mark. How much older is Peggy than Mark?

Answers

Peggy is 3 years older than mark .

Write the equations of the following lines. A line that is parallel to y=2x-4 and passes through the point (1, 1)

Answers

Considering the definition of parallel line, a line that is parallel to y=2x-4 and passes through the point (1, 1) is y= 2x -1.

Linear equation

A linear equation o line can be expressed in the form y = mx + b

where

x and y are coordinates of a point.m is the slope.b is the ordinate to the origin and represents the coordinate of the point where the line crosses the y axis.

Parallel line

Parallel lines are two lines that are always at the same distance from each other and never touch.

Two lines are parallel if they have the same slope "m" and different y-intercepts "b".

Equation of parallel line in this case

In this case, the line is y=2x -4

where:

The slope m is 2The y-intercepts b is -4.

Since two lines are parallel if they have the same slope, the parallel line has a slope of 2 and has a form of: y= 2x + b

The line passes through the point (1, 1). Replacing in the expression for parallel line:

1= 2×1 + b

1= 2 + b

1 -2= b

-1 = b

Finally, the equation of parallel line is y= 2x -1 .

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An economy size car can travel 32 miles for each gallon of gasoline. The function d(g) = 32g represents the distance traveled in miles, d(g), that the car can travel with g gallons of gasoline. Find d(30).

*Type in your answer.

d(30) = miles

Answers

The number of miles to drive for 30 gallons is 960 miles

How to determine the function value?

From the question, the function definition is given as

d(g) = 32g

Where g represents the number of gallons and d represents the distance

The function value to calculate is given as

d(30)

This means that we calculate the number of miles to drive for 30 gallons

So, we have

d(30) = 32(30)

This gives

d(30) = 32 x 30

Evaluate the product

d(30) = 960

Hence, the function value is d(30) = 960

Answers

The phrase of the expression x - 6 is 6 less than a number.

Expression:

The expression refer the sentence with a minimum of two numbers/variables and at least one math operation in it.

Given,

Here we have the expression x -6.

And we need to convert this expression in order to get the phrase form.

In order to get the phrase form, we have to translate the given expression into word.

While we looking into the given expression we have identified the following three terms.

They are, x , (-) and 6.

Here x represents the unknown number.

(-) represents that we have to less the unknown number by the given number.

And 6 is the given number.

So, the phrase for this situation is 6 less than a number.

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Using the distributive property, rewrite this equation and put the correct numbers in place of the blanks.

8 • 52 = (
•
) + (
•

Answers

The equation using the distributive property is 8 (5 + 2) = (8 × 5) + (8 × 2)

Given,

The equation: 8 ( 5 + 2) = (__×___) + (___×__)

Distributive property:

The distributive property states that multiplying the sum of two or more addends by a number yields the same outcome as multiplying each addend separately by the number and combining the resulting products.

Here,

8 (5 + 2)

Using distributive property open the brackets:

8 (5 + 2) = (8 × 5) + (8 × 2)

Now,

8 (5 + 2) = 40 + 16

That is,

8 (5 + 2) = 56

So,

The equation using the distributive property is 8 (5 + 2) = (8 × 5) + (8 × 2)

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Teresa surveyed 100 students about whether they like pop music or country music. Out of the 100 students surveyed, 41 like only pop, 35 only like country, 11 like both pop and country, and 13 do not likeeither pop or country. Complete the two-way frequency table.

Answers

we have

see the attached figure to better understand the problem

please wait a moment (to fill the table)

where is the center of dilation located in the image pictured below?

Answers

Answer:

Step-by-step explanation:

Given vectors a=(-2, 1) and b = (5, 4), find 5a - 3b.Write your answer in component form.5a - 3b = (0)X 5? ?

Answers

In order to find 5a-3b, lets find 5a. This is given by

[tex]\begin{gathered} 5a=5(-2,1) \\ 5a=(-10,5) \end{gathered}[/tex]

Similarly, -3b is given by

[tex]\begin{gathered} -3b=-3(5,4) \\ -3b=(-15,-12) \end{gathered}[/tex]

Then, by substituting our results into the expression 5a-3b, we get

[tex]5a-3b=(-10,5)+(-15,-12)[/tex]

This can can be done by adding entry by entry, that is

[tex]5a-3b=(-10-15,\text{ 5-12)}[/tex]

Therefore, the answer is

[tex]5a-3b=(-25,-7)[/tex]

6. Write the equation for the line: (Hint: there are two points given to you!) 1 (3-1) 4 Homework Packet 3,1-3143.pdf hit ng

Answers

. Write the equation for the line: (Hint: there are two points given to you!)

________________________

y= mx + b

the slope is m

(y - y1) = m (x - x1)

___________________

points (x,y)

point 1 (4, 4) x1 = 4; y1 = 4

point 2 (3 , -1) x2= 3; y2 = -1

The slope m = (y2- y1) / (x2 -x1)

m=(-1 - 4 )/( 3 - 4)

m= -5/-1 = 5

(In this case, you choose which point you want to put as point one and point two, you will always get the same answer)

____________________

(y - 4) = 5 (x - 4)

y= 5x -20 +4

y= 5x - 16

The equation for the line is y= 5x - 16

__________________

Do you have any questions regarding the solution?

WILL MARK BRAINLIEST FOR THE BEST AND MOST ANSWERED OUT REPLY

1. A recent election poll claims that Candidate A is projected to win the election with 53% of the vote. If a sample of 2436 voters is polled, determine if Candidate A can be guaranteed a win with 95% confidence.

Select an answer
a. yes
b. no
c. Not enough information

Explain why or why not using two sentences.

Answers

Using percentages we can conclude that 95% of votes that is 2,314 votes (B) cannot be guaranteed which is 1,023 votes more than the projected 53% winning votes (1,291 votes).

What is the percentage?A percentage is a number or ratio expressed as a fraction of 100 in mathematics. Although the abbreviations "pct.", "pct.", and occasionally "pc" is also used, the percent sign, "%," is frequently used to indicate it. A percentage is a number without dimensions and without a standard measurement.By dividing the value by the total value and multiplying the result by 100, one can determine the percentage. The percentage calculation formula is (value/total value)100%.

So, candidate A has a projection of winning 53% votes.

A sample of 2436 voters is pulled, then:

2436/100 × 53 = 1,291 votes

Can candidate A be guaranteed 95% votes which are:

2436/100 × 95 = 2,314 votes

Difference: 2,314 - 1,291 = 1,023

Therefore, using percentages we can conclude that 95% of votes that is 2,314 votes (B) cannot be guaranteed which is 1,023 votes more than the projected 53% winning votes (1,291 votes).

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Rob counted the boxes of cereal in a grocery store with different sizes and numbers of prizes. Mini size Regular size Jumbo size 5 3 3 One prize Two prizes 3 4 5 Are the events "the box of cereal contains one prize" and "the box of cereal is regular size" independent? yes no

Answers

The events are independent because there is no evidence of dependece between the events, the box can contain one or two prices or be any size.

Which inequality statements are true? Select all that apply.-0.7<-0.40.5 -0.6-0.8<-0.70.6 > 0.4

Answers

Answer:

-0.7 < -0.4

0.5 > -0.6

-0.8 < -0.7

0.6 > 0.4

Explanation:

The symbol < means less than and the symbol > means greater than.

On the other hand, if we identify each number on a number line, we get:

Therefore, the true statements are:

-0.7 < -0.4

0.5 > -0.6

-0.8 < -0.7

0.6 > 0.4

Because, for example, -0.7 is on the left of -0.4 which means that -0.7 is less than -0.4.

0.5 in on the right of -0.6 which means that 0.5 is greater than -0.6.

What is the value of the missing segment? there is a ? , 4., 5 and 10

Answers

Step-by-step explanation:

I assume the ? is the left leg of the left triangle.

the middle line (right leg of the smaller left triangle, and the left leg of the larger right triangle) bisects the top angle of the main large triangle (because the top angles left and right from the middle line are equal).

that means per the angle bisector theorem

5 / 4 = 10 / ?

5 = 10×4/? = 40/?

?×5 = 40

? = 40/5 = 8

On the spinner show

Answers

We want to know what's the probability of spinning a number greater than two

There are 2 spinnings greater than two, of a total of 8. therefore, the probability I will be

[tex]\frac{\text{favorable cases}}{\text{all cases}}=\frac{2}{8}=\frac{1}{4}[/tex]

The probability is 1/4

An engineer is designing the parking lot shown below for a local grocery store. The parking spaces are marked with lines where XD←→∥TZ←→∥YF←→∥LP←→ and WC←→− is a transversal. m∠CNL=(6x−17.6)°, m∠FBH=(12y−22)°, and m∠THR=(3x+29.2)°

Answers

Answer:

Step-by-step explanation:

during an election, a group of 4 council members must be selected from a group of 18 people running for these positions. how many such selections are possible?

Answers

The possible number of ways of selection by using combination formula is 3060.

What is combination?

A grouping of items where the order in which they were chosen is irrelevant is known as combination.

Given that the number of people in the group is 18. Only 4 people will be member of the council.

The formula of combination is [tex]^{n}C_{r}=\frac{n!}{r!(n-r)!}[/tex] , where r number of objects are selected from n objects.

In the given question the value of n is 18 and the value of r is 2.

Substitute the value of n and r in [tex]^{n}C_{r}=\frac{n!}{r!(n-r)!}[/tex].

[tex]^{18}C_{4}=\frac{18!}{4!(18-4)!}[/tex]

Solve the above expression:

18^C_4 = 18x17x16x15x14/4x14

18^C_4 = 18x17x16x15/4x3x2x1

3060 18^C_4 = 3060

The number of ways such selection is 3060.

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Help me get the right answer please

Answers

Answer:

3x + 5 + (8x - 3) = 180

11x + 2 = 180

11x = 178

x = 16.18

= 16.2

What is 102 divided by 105?

Answers

Answer:

102 / 105 = 0.971428571

Step-by-step explanation:

i used a calculator c:

Use the diagram and the given angle measure to find the other three measures

Answers

The measures of angles ∠1, ∠3, and ∠4 is 146°, 146°, and 34°.

What are angles?When two straight lines or rays intersect at a single endpoint, an angle is created. The vertex of an angle is the location where two points come together. The Latin word "angulus," which means "corner," is where the term "angle" originates. Angles created by two rays are in the plane where the rays are located. The meeting of two planes also creates angles. We refer to these as dihedral angles.

So, ∠2 = 34°:

Now calculate other angles as follows:

(1) ∠1:

We can easily tell that ∠1 and ∠2 together make a straight angle which makes 180°. Then,

∠1 + ∠2 = 180∠1 + 34 = 180∠1 = 180 - 34∠1 = 146°

(2) ∠3:

∠1 and ∠3 are a pair of vertically opposite angles and thus are equal.

∠1 = ∠3 = 146°∠3 = 146°

(3) ∠4:

∠2 and ∠4 are a pair of vertically opposite angles and thus are equal.

∠2 = ∠4 = 34°∠4 = 34°

Therefore, the measure of angles ∠1, ∠3, and ∠4 is 146°, 146°, and 34°.

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Quadrilateral ABCD is dilated with center
( 0, 0 ), taling B to B' . Draw A' B' C' D' .

Answers

Answer:

See the picture below

Step-by-step explanation:

The largest y-value of the function is called thefunction.value of the

Answers

As the y-values of a function are the values that the function takes, the largest y-value of a function is called the maximum value of the function

Answer: maximum

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