Question

Solve for X (BRAINLIEST)

Answer 1

Answer:

x = 24

Step-by-step explanation:

The triangles are similar so we can use ratios to solve

x             6

------ = -----------

x+8         8

Using cross products

8x = 6*(x+8)

8x = 6x+48

Subtract 6x from each side

8x-6x = 48

2x = 48

Divide by 2

2x/2 = 48/2

x = 24

Answer 2

Answer:

x = 24

Step-by-step explanation:

Very similar to the previous problems of this type, these two triangles have a shared angle A and both have a right angle, prove AA similarity.

From there, we can set up a ratio:

(x+8)/x = 8/6

Multiply both sides by x:

x+8 = 8x/6

Multiply both sides by 6:

6x+48 = 8x

Move the 6x to the right:

48 = 2x

Divide both sides by 2:

x = 24