△ABC ~ △XYZ. Find X. Thanks!

ABC ~ XYZ. Find X. Thanks!

Answers

Answer 1

Answer:

[tex] \huge \: \boxed{ \boxed{21}}[/tex]

Step-by-step explanation:

according to the question

[tex] \frac{14}{2x + 7} = \frac{x - 3}{63} [/tex]

[tex]882 = (x - 3)(2x + 7)[/tex]

[tex]0 =882 - (x - 3)(2x + 7)[/tex]

[tex] 882 - (2 {x}^{2} + x - 21) = 0[/tex]

[tex]882 - {2x}^{2} - x + 21 = 0[/tex]

[tex] - {2x}^{2} - x + 903 = 0[/tex]

[tex]2x + x - 903 = 0[/tex]

[tex](2x + 43)(x - 21) = 0[/tex]

[tex]x = - \frac{43}{2} \\ x = 21[/tex]

[tex] \huge \therefore x = 21[/tex]


Related Questions

Riley has $14 more than Ashton. Peyton has twice as much money as Riley. If Ashton has m dollars, which expression represents the amount of money that Peyton has?

Answers

Answer:

14 times 2

Step-by-step explanation:

2(m+14) because I got big brains trust me

Jacob used an empty can for a project shown below the pills the label of the king in find the area of the label what is the approximate area of the canned label?

Answers

Answer:

B: 100.53 in²

Step-by-step explanation:

From the image of the can label shown, we can see that;

Height; h = 8 inches

Diameter; d = 4 inches

Thus, radius; r = d/2 = 4/2 = 2 inches

The can is a cylinder and the label covers only the curved surface area. Thus, formula for curved surface area of a cylinder is;

A = 2πrh

Thus;

A = (2π × 2 × 8)

A = 100.53 in²

A circular pen has circumference of 77.5 feet. Approximate π to 3.14 and estimate how many sheep could be safely kept in the pen if each sheep needs at least 45 square feet.

Answers

Answer:

10 sheep

Step-by-step explanation:

First, we have to determine the area of the circular pen.

Area of a circle = [tex]\pi[/tex][tex]r^{2}[/tex]

But,

Circumference of a circle = 2[tex]\pi[/tex]r

So that,

77.5 = 2 x 3.14 x r

77.5 = 6.28r

r = 12.34

Radius of the pen is 12.34 feet.

Thus,

Area of the pen = [tex]\pi[/tex][tex]r^{2}[/tex]

                          = 3.14 x [tex](12.34)^{2}[/tex]

                    = 478.15

Area of the pen = 478.15 square feet

Number of sheep that can be safely kept in the pen = [tex]\frac{478.15}{45}[/tex]

                                           = 10.63

The number of sheep that can be safely kept in the pen is 10.

describe how you would write an equationof the line in ponit slope form that goes through the points (3,-5) and (-2,10)
Please help guys <3

Answers

Answer:

10-(-5)= m(-2-3)

Step-by-step explanation:

The equation for point slope form is y- y1= m (x- x1)

You would plug in the numbers so y = y coordinate of second point which the second point is (-2,10). The y coordinate is 10. Then, since y1 = y coordinate of the first point the first point being (3,-5), the y1 is -5. You do the same thing with x and x1 being -2 and 3. So the equation should look like this:

10-(-5)= m(-2-3)

That's the answer. I hope this helps!

Please help!! im confused

Answers

Answer:

8.5

Step-by-step explanation:

you cut them in half. when it says clicks per second it means per one second. so if you get 17 clicks in 2 seconds you just cut it in half.

The ocean's surface is at 0. Which is farthest from the ocean’s surface?
A.
a fish swimming at -22 feet
B.
a kite flying at 48 feet
C.
a shipwreck at -52 feet
D.
a balloon at 19 feet

Answers

Answer:

C. a shipwreck at -52 feet

Step-by-step explanation:

It is asking which is farthest from the ocean's surface, so we must use absolute value.

[tex] | - 22| = 22 \\ |48 | = 48 \\ | - 52| = 52\\ |19| = 19[/tex]

52 is greater than the others. therefore the farthest away.

what is 2.5% as a feaction and a decimal​

Answers

the answer is 2 1/2

Perry and Jack are selling pies for a school fundraiser. Customers can buy apple pies and black berry pies. Perry sold 9 pies and 12 blackberry pies for a total of $165. Jack sold 8 apple pies and 3 blackberry pies for a total of $70. Find the cost each of one apple pie and one black berry pie.

Answers

Answer: apple pie=5

blackberry pie=10

Step-by-step explanation:

apple pies=a

blackberry pies=b

Perry sold:

9a+12b=165

Jack sold:

8a+3b=70

we have a system of equations

9a+12b=165

9a=165-12b

a=(165-12b)/9

replace in the second

8(165-12b)/9 +3b=70

after we do the multiplication we will get

1320-96b+27b=630

69b=690

b=10 dollars

a=(165-120)/9=45/9=5 dollars

What’s the area of this following circle?

Answers

Answer:

The Answer is 113.04 which would simplify to 113

Step-by-step explanation:

3.14×6^2=113.04

What is the volume of the figure?
8 cubic units
o 24 cubic units
16 cubic units
o 12 cubic units

Answers

2x3x4= 24 cubic units. You multiply the length by the width by the height.

What is the answer for. 49x^2-25y

Answers

are you sure those are all numbers?

Calculate the radius if the circles given the Diameter.

d= 7.8​

Answers

the radius would be half of that. so the answer is 3.9

Find the missing sides of each triangle

Answers

Hi I can help you but I need a bit more information are you adding are you subtracting are you Multiplying

pls help pls help i will award brainliest.

Answers

Answer:

-24

Step-by-step explanation:

4a+8-a

a=-2

4(-2)+8-(-2)

-8+-16

=-24

:)

Heyheyheyheyheyheyhey

Write the system of 4 linear inequalities graphed below.

Answers

Answer:

Answer:

y > 2x - 1

y ≤ 0.5x + 4

Step-by-step explanation:

solid line: (0,4) (-8,0)

m: (0-4)/(-8-0) = -4/-8 = 0.5

b: 4

y = mx + b       y = 0.5x + 4

dotted line: (0,-1) (-2,-5)

m = (-5 - -1)/(-2-0) = 2

b = -1

equation: y = 2x - 1

System: y ≤ 0.5x + 4

            y > 2x - 1

Step-by-step explanation:

Find the value of x.

Answers

Answer:

5

Step-by-step explanation:

-------------------------

Answer:

a

Step-by-step explanation:

48=7x+13

step 1 subtract each side by 13

35=7x

step 2 divide each side by 7

x=5

Mrs. Harrison is 15 ounces of dark chocolate while baking. She used 3/5 of the chocolate to make some frosting and used the rest make brownies. how many ounces did she use to make brownies?

Answers

¹⁶/₅ or 3 ¹/₅ or 3.2 ounces.
15 x 3/5 = 9

15 - 9 =
6 ounces

Pls help me!!!!

3/4 ton= Ib

Answers

Step-by-step explanation:

2666 and 2/3 ok try thisyeh

Answer:

1,500 lbs.

Step-by-step explanation:

There are 2000 lbs in 1 ton.

[tex]\frac{3}{4}[/tex] × [tex]\frac{2000}{1}[/tex]=     [tex]\frac{6000}{4}[/tex]

6,000 divided by 4 is 1,500

Answer: 1,500 lbs.

A driver was going more then 15 miles per hour over the speed limit when he received a speeding ticket. If the driver's speed was 75 miles per hour, what was the speed limit, m, on the road where he was driving.

I need help with this ASAP!

Answers

Answer:

60

Step-by-step explanation:

You just subtract 75 - 15, and you get 60. I hope this helps :)

What is the speed of Junior’s boat that travels 600 meters in 12 seconds?

Answers

Answer:50 meters per second

Step-by-step explanation:Divide 600 by 12 and whola, you get 12

x 7 9 11 13 y -1 2 5 8 Is the relationship linear, exponential, or neither

Answers

15 is the answer hope this helps

Answer:

it is linear

Step-by-step explanation:

sorry if i'm late but i did it on khan

If a = -2, then what is the value of -2a+ 3?


and

If y = 3, what is the value of -3y - 1?

Answers

Step-by-step explanation:

1) 7

2) -4

hope this helps

identify the quadratic equation for the graph below

Answers

Answer:

C. Y = [tex]x^{2}[/tex] + x - 6

Step-by-step explanation:

I'm not shure but I think thats the answer.

Noah has a coupon for 30% off at his favorite clothing store . He uses it to buy a hoodie . The regular price of a hoodie is $27. What did Noah pay for the hoodie?

Answers

Answer:

$18.90

Step-by-step explanation:

The way to do percentages is actually pretty easy.

since it's taking 30% of you are left with 70%. Take 70 and divide it by 100. This gives you .70

Now what you do is you take the price of the time and multiply it by the .70

So 27.00 * .7 = 18.90

So Noah paid 18.90

Please help me out I am doing this for math and has no clue what to do

Answers

from the three options i can see, i would pick option B.

neeed help on this !!!!!!!!!!!!!

Answers

Answer:

5 minutes.

Step-by-step explanation:

Consider the graph of the linear equation 2x - 5y = 10.

Answers

Answer:

The slope is [tex]\frac{2}{5}[/tex]

the y-intercept (0,-2)

the graph points is (5,2)

Step-by-step explanation:

In the figure MN is a midsegment of JKL. Find the value of X

Answers

Answer:

x = 9

Step-by-step explanation:

Here, we want to find the value of x

To do this, we are going to use the similar triangles principle

When two triangles are similar, the ratio of their corresponding sides are the same

The two similar triangles we shall be using are;

LMN and LJK

Thus, we have it that;

x/8.5 = x+ 9/17

17x = 8.5(x + 9)

17x = 8.5x + 76.5

17x - 8.5x = 76.5

8.5x = 76.5

x = 76.5/8.5

x = 9

c/- 4 = 16
please help

Answers

C=-64


Multiple the equation by -4

Jada was solving the equation 
6

x
=

16
6−x

=−16. She was about to square each side, but then she realized she could give an answer without doing any algebra. What did she realize?

Answers

The solution Jada seeks does not require any algebra but can be solved to give; x = 22.

How to solve the equation

When solving the given equation;

6 - x = -16

The solution of the equation can be obtained by subtracting 6 from both sides of the equation so that we have;

-x = -16 -6

-x = -22.

Therefore, the value of x is; 22

Read more on equation;

https://brainly.com/question/16863577

Other Questions
WILL GIVE BRAINLIEST!!! Which of the following does Muir believe his opponents value more than nature? power water timber money How does the text describe Pluto? aPluto is made up entirely of ice, and it is bigger than Venus. bPluto is made up entirely of rock and ice, and it is bigger than Earth's moon. cPluto is made up entirely of gas, and it is bigger than Earth's moon. dPluto is made up entirely of rock and ice, and it is smaller than Earth's moon. what is evidence in English? Two professors are applying for grants. Professor Jane has a probability of 0.61 of being funded. Professor Joe has probability 0.29 of being funded. Since the grants are submitted to two different federal agencies, assume the outcomes for each grant are independent. Give your answer to four decimal places.Required:a. What is the probability that both professors get their grantsfunded? Give your answer to four decimal places.b. What is the probability that at least one of the professors will befunded? Give your answer to four decimal places.c. What is the probability that Professor Jane is funded but ProfessorJoe is not? Give your answer to four decimal places.d. Given at least one of the professors is funded, what is theprobability that Professor Jane is funded but Professor Joe is not? Show Me! How are thesenumbers alike? How arethey different?46 64 What type of mutation occurred?Original: ATT CACMutated: ATC CACsubstitution (point)insertion (addition)deletion Pls help me if your good at English ill mark brainliest what's political parties most important job? The solids are similar. Find the volume of the smaller solid. Select all the expressions equivalent to 7^-2 x 7^5 x 7^-3 Identify this conjunction.thereforeconjunctive adverbcoordinating conjunctionsubordinating conjunctioncorrelative Read this passage, which Paine wrote topersuade colonists to rebel against Britain.Highlight words that contribute to the tone.Britain, with an army to enforce her tyranny,has declared that she has a right (not only toTAX) but to BIND us in ALL CASESWHATSOEVER," and if being bound in thatmanner, is not slavery, then is there not sucha thing as slavery upon earth.- "The Crisis" No.1,Thomas Paine Help me, please!! Annabelle used a protractor to measure the angle below. Is Annabelle using the protractor correctly? Explain your answer. If Annabelle is using it incorrectly, explain to her how to use it correctly. What's the theme to the poem audacity by Melanie crowder ? Which of these acts is least likely to take place in a totalitarian system?A. Local officials take orders from national officialsB. Political parties complete for control of the governmentC. The government makes rules about the jobs people can haveD. Leaders dictate what will be taught in schools For the formula C4H9Cl , calculate the index of hydrogen deficiency (IHD) and select all the types of unsaturation that might be present in the molecule based on the IHD. What is it? Please hurry Amanda increased the amount of protein she eats every day from 48 grams to 54 grams. By what percentage did Amanda increase the amount of protein she eats? help help help Write a paragraph in French that can be a part of Adele's blog in which she describes three of her classmates and places in the city that she hasvisited with each of them. Be sure to use adjectives to describe their nationalities, interests and personality traits using the details in the tablebelow.