All categories

2 years ago

Given the similar triangles, find the value of X.

Mathematics

1 answer:

3241004551 [841]2 years ago

3 0

Answer:

x = 15

Step-by-step explanation:

Since the triangles are similar we can find x using similarity ratio

14/8 = (x+6)/(x-3) simplify first expression

7/4 = (x+6)/(x-3) cross multiply expressions

7×(x-3) = 4×(x+6)

7x-21 = 4x + 24 add like terms

3x = 45

x = 15

You might be interested in

Alison is playing a video game. At the end of each level, the player is given either a bag of gold or a magic wand.

Shkiper50 [21]

Outcome Bag of Gold Magic Wand

Relative frequency 0.32 0.68

The relative frequency of getting a bag of gold is .......... reasonably close

.32 is close to 30% so

Alison's claim about the theoretical probability is likely to be 2............true

Further, this means that the theoretical probability of getting a magic wand is most likely 3............1 - 30% = 70%

5 0

2 years ago

The time it takes to drive to Joliet is 6 hours more than half the time it takes to drive to Davenport. It takes 8 hours to driv

Molodets [167]

It takes 8 hours to drive to Joliet, and that's 6 hours more than half the time it takes to drive to Davenport. So, I did 8-6 which equals 2. So 2 hours is half the time it takes to get to Davenport, which means it takes 4 hours to get to Davenport.

6 0

2 years ago

Read 2 more answers

Given points A (1, 2/3), B (x, -4/5), and C (-1/2, 4) determine the value of x such that all three points are collinear

AlladinOne [14]

Answer:

$x=\frac{83}{50}$

Step-by-step explanation:

we know that

If the three points are collinear

then

$m_A_B=m_A_C$

we have

A (1, 2/3), B (x, -4/5), and C (-1/2, 4)

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

step 1

Find the slope AB

we have

$A(1,\frac{2}{3}),B(x,-\frac{4}{5})$

substitute in the formula

$m_A_B=\frac{-\frac{4}{5}-\frac{2}{3}}{x-1}$

$m_A_B=\frac{\frac{-12-10}{15}}{x-1}$

$m_A_B=-\frac{22}{15(x-1)}$

step 2

Find the slope AC

we have

$A(1,\frac{2}{3}),C(-\frac{1}{2},4)$

substitute in the formula

$m_A_C=\frac{4-\frac{2}{3}}{-\frac{1}{2}-1}$

$m_A_C=\frac{\frac{10}{3}}{-\frac{3}{2}}$

$m_A_C=-\frac{20}{9}$

step 3

Equate the slopes

$m_A_B=m_A_C$

$-\frac{22}{15(x-1)}=-\frac{20}{9}$

solve for x

$15(x-1)20=22(9)$

$300x-300=198$

$300x=198+300$

$300x=498$

$x=\frac{498}{300}$

simplify

$x=\frac{83}{50}$

8 0

3 years ago

Rick has $20.00. He bought a movie ticket for $5.50, a large popcorn for $3.75, a large soda for $2.75. How much money does he h

Juli2301 [7.4K]

Answer:

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

PLEASE ANSWER RIGHT PLEASE

alukav5142 [94]

Answer:

Step-by-step explanation:

(x2-x1)2 + (y2-y1)2

(5-0)2 + (-3-3)2

25+36= 61

square root of 61

5 0

2 years ago