For the pair of similar triangles, find the value of x.
2x8
x+8
24
The value of x is a
(Simplify your answer. Use a comma to separate answers as needed.)

For The Pair Of Similar Triangles, Find The Value Of X.2x8x+824The Value Of X Is A(Simplify Your Answer.

Answers

Answer 1

Answer: x = 22

Step-by-step explanation:

Compare the 2 triangles

[tex]\frac{2x-8}{24} = \frac{45}{x+8}[/tex]

Cross multiply

(2x-8) (x+8) = 45 x 24

2x^2 + 16x - 8x - 64 = 1080

2x^2 + 8x - 64 - 1080 = 0

2x^2 + 8x - 1144 = 0 ---> divide by 2

x^2 + 4x - 572 = 0

(sum and product)

x^2 - 22x + 26x - 572 = 0

x(x - 22) + 26(x - 22) = 0

(x + 26) (x - 22) = 0

x + 26 = 0

x = -26

x - 22 = 0

x = 22


Related Questions

AM I RIGHT PLEASE HELP!!!
Calculate the slope of a line that passes through the points (6, -12) and (15,-3).

Answers

Answer:

slope = 1

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (6, - 12 ) and (x₂, y₂ ) = (15, - 3 )

m = [tex]\frac{-3-(-12)}{15-6}[/tex] = [tex]\frac{-3+12}{9}[/tex] = [tex]\frac{9}{9}[/tex] = 1

Write 3/6/7 in an improper fraction in the lowest term

Answers

Answer:

27/7

the mixed number 3 6/7 can be written as 27/7.

The value of an improper fraction in the lowest term is,

⇒ 27/7

We have to give that,

A mixed fraction is,

⇒ 3 6/7

Now, We can change the fraction into an improper fraction as,

⇒ 3 6/7

⇒ (3×7 + 6)/7

⇒ (21 + 6)/7

⇒ 27/7

Therefore, an improper fraction in the lowest term is,

⇒ 27/7

To learn more about the fraction visit:

https://brainly.com/question/5454147

#SPJ6

How can data be represented?​

Answers

Data can be represented in tables, charts, and graphs.

In a chart table or graph

1 escribe el numero entero asociado a cada situacion a) 10 metros bajo el nivel del mar b)perdio 5000 pesos c)40° bajo cero d)gana 2000 pesos | porfaa es para 1 hora

Answers

Answer:

a) - 10m

b) - $5000

c) - 40°

d) + $2000

Step-by-step explanation:

I hope this help you

Hugo wants to make a sandwich using wrap or baguette cheese or turkey mayonnaise or ketchup , list all the possible types of sandwiches he Hugo could make

Answers

Answer:

What subject is this

Step-by-step explanation:

Please help me with this!

Answers

Answer:

y=2x+3

Step-by-step explanation:

you should see how to get from one number to the next.

I noticed by multiplying an input by 2 then adding 3 I reach my output.

I would use this for each input to find that it would equal my output every time I used the rule

The length of a side of a square is given by the expression 2x + 1, and its perimeter is 56.

[I have the equation, 4(2x + 1) = 56 down but I want to make sure that x actually equals 6.5]

Answers

Answer:

Step-by-step explanation:in the picture

Answer:x=[tex]\frac{13}{2}[/tex] or x= 6.5 either way x equals to the number 6.5 .

Step-by-step explanation:The image below will explain how you solve the problem also thanks for the person above me for the idea of answering this question.

HOPE THIS HELPS

:)

Also website as seen in the photo is symbolab

Consider U = { 5,10, 15, 20, 25, 30, 35, 40} , A = { 20, 30, 40 } . Find A’

Answers

Answer:

A {5, 10, 15, 20}

Step-by-step explanation:

see screenshot below/above

Answers

Answer:

x-int: (-2,0)

y-int: (0,1.333)

Step-by-step explanation:

There are 35 boys in 6th grade. The number of girls in 6th grade is 40. Emma says that means the ratio of the number of boys in 6th grade to the number of girls in 6th grade is 3:4. Is Emma correct? If not, what is the correct answer? it is the answer

correct ratio
7:8
5:8
8:7

Answers

Answer:

The correct ratio is 7:8, so no, Emma is not correct.

Hello cayleahm253!

[tex] \huge \boxed{\mathbb{QUESTION} \downarrow}[/tex]

There are 35 boys in 6th grade. The number of girls in 6th grade is 40. Emma says that means the ratio of the number of boys in 6th grade to the number of girls in 6th grade is 3:4. Is Emma correct? If not, what is the correct answer?

[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]

Okay, so we can see from the question that there are 35 boys & 40 girls in the 6th grade. So the ratio of boys is to girls will be 35:40.

__________________

Solving...

[tex]35 : 40 \\ = \frac{35}{40} \\ \\ \sf \: Cancel \: out \: 35 \: and \: 40 \: to \: get \: 7 \: and \: 8.\\ \\ = \frac{7}{8} \\ = \huge \boxed{\boxed{\bf \: 7 : 8}}[/tex]

__________________

So, the correct ratio is not 3:4. Instead it's 7:8.

__________________

Hope it'll help you

ucαzz

Use technology to find the line of best fit for the following data.

Answers

Answer:

what following data

Step-by-step explanation:

A shipment of sugar fills 2 4/5 containers. If each container holds 2 3/7 tons of sugar, what is the amount of sugar in the entire shipment?
Write your answer as a mixed number in simplest form.

Answers

Answer:

6 4/5 tons

Step-by-step explanation:

Multiply the number of containers by the amount in each to find the total amount of sugar:

2 4/5 * 2 3/7 = 14/5 * 17/7 = 2*17/5 =34/5 = 6 4/5

Plz help…10 points and a brainliest…

Answers

Answer:

substitute the values given,

= (2a + b) - (a - 2b)

= (2(x + 2y) + x - 2y) - (x + 2y - 2(x - 2y))

= (2x+4y+x-2y) - (x+2y-2x+4y)

= (3x+2y) - (-x+6y)

= 3x + 2y + x - 6y

= 4x - 4y

then,

(2a+b) - (a-2b) = 4x - 4y

How many solutions does this equation have?
9p + 5 = 5 + 9p

Answers

Answer:

Infinite solutions

Step-by-step explanation:

9p + 5 = 5 + 9p

Since both sides are equal, therefore the equation has infinite solutions

help plz i will give brainliest

Answers

Answer:

12

(If needed explanation ask in the comments! ty)

Hope This Helps! •v•

What force would have been applied to the bus from t=16 s to t=21 s? Assume the mass of the bus was 50 kg.

Answers

Applying Newton's Second Law, it is found that the force, in Newtons, is given by:

[tex]F = 10[v(21) - v(16)][/tex]

Newton's Second Law states that Force, in Newtons, is mass times acceleration, that is:

[tex]F = ma[/tex]

In this problem, mass of 50 kg, thus [tex]m = 50[/tex]

Acceleration is change in velocity divided by change in time, that is:

[tex]a = \frac{\Delta_v}{\Delta_t}[/tex]

In this problem, we don't know the velocities, but know that time is from 16s to 21s, thus:

[tex]\Delta_t = 21 - 16 = 5[/tex]

[tex]\Delta_v = v(21) - v(16)[/tex]

Thus, the force is given by:

[tex]F = ma[/tex]

[tex]F = m\frac{\Delta_v}{\Delta_t}[/tex]

[tex]F = 50\frac{[v(21) - v(16)]}{5}[/tex]

[tex]F = 10[v(21) - v(16)][/tex]

A similar problem is given at https://brainly.com/question/18801986

if c^2 is 12 side a^2 is 8 what is side b in a right triangle

Answers

b equals square root 80

.Triangle ABC is right angled at B,  AB= 8 cm, BC = 15 cm, find AC​

Answers

Answer:

17

Step-by-step explanation:

| 4x-13 | = 5x+4
Solve

Answers

Answer:

x = 1

Step-by-step explanation:

The absolute value always gives a positive value. However, the expression inside can be positive or negative , so

4x - 13 = 5x + 4 ( subtract 4x from both sides )

- 13 = x + 4 ( subtract 4 from both sides )

- 17 = x

OR

- (4x - 13) = 5x + 4 , simplify left side

- 4x + 13 = 5x + 4 ( subtract 5x from both sides )

- 9x + 13 = 4 ( subtract 13 from both sides )

- 9x = - 9 ( divide both sides by - 9 )

x = 1

As a check

Substitute these values into the equation and if both sides are equal then they are solutions.

x = - 17

left side = | 4(- 17) - 13 | = | - 68 - 13 | = | - 81 | = 81

right side = 5(- 17) + 4 = - 85 + 4 = - 81 ≠ 81

Then x = - 17 is an extraneous solution

x = 1

left side = | 4(1) - 13 | = | 4 - 13 | = | - 9 | = 9

right side = 5(1) + 4 = 5 + 4 = 9

Then solution is x = 1

(5.3 x 10⁻³) + (6.8 x 10⁻¹)

Answers

Answer:

Step-by-step explanation:

Write the equation of the line that passes through the points (−3,9) and (1,−6).

Answers

Answer:

y=-3.75x-2.25

Step-by-step explanation:

Step 1: Find the slope (m) using the Slope Formula, Y2-Y1/X2-X1

(-6)-(9)/(1)-(-3) = -15/4 = -3.75

Step 2: Find the Y-intercept (b) using the Slope Intercept Formula, y=mx+b

9=-3.75*(-3)+b

9=11.25+b

b=9-11.25

b=-2.25

Step 3: Plug in your slope (m) and Y-intercept (b) values into the Slope Intercept Formula, y=mx+b

y=-3.75x-2.25

Step 4: Plug your X values into the formula, you should get your Y values after solving

y=-3.75(-3)-2.25=11.25-2.25=9 (-3, 9)

y=-3.75(1)-2.25=-3.75-2.25=-6 (1, -6)

Help me fast please I am really confused!!!!!!

Answers

Answer:

By the way that the line is facing.

by which rules are these triangles congruent?

A. AAS
B. ASA
C. SAS
D. SSS

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The criteria used to prove the given triangles congruent is :

AAS

this is algebra 1 id appreciate it if you could help me thx!

Answers

The answer to the question above is the first one

Charlie deposited $115 in a savings account. Each week thereafter he deposits $35 into the account. How much total money has Charlie deposited after 30 weeks?

Answers

Answer:

$1165

Step-by-step explanation:

30x35 = 1050

1050+115=1165

Equation: 115+35x

Plug 30 in for x
115+35(30)
115 + 1050
= $1165

the probability distribution of all possible values of the sample proportion is the

Answers

Answer: The sampling distribution of p is the probability distribution of all possible values of the sample proportion p.

A van travels 300 miles on 15 gallons of gas. Find how many gallons the van needs to travel 360 miles

Answers

Answer:  The Van needs 18 gallons of gas to travel 360 miles.

4(3 × 2) + (8 - 3)^2 - 6^2 + 3 × 9 - 2^3 + 1

Show your work

[Thank you]

Answers

Answer:

33

Step-by-step explanation:

if its in () its the 1th step and then the rest u can continue

1000 Chevrolet times 1000 Lamborghini

Answers

Answer:

1000000 chevginis

Step-by-step explanation:

Answer:

1000000 sports cars (Chevrolet and Lamborghinis)

Step-by-step explanation:

1000x1000

Choose the algebraic expression that matches the phrase below.
h increased by 5​

Answers

Answer:

h + 5

Step-by-step explanation:

increased = add so yeah...

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