Answer:
Step-by-step explanation:
The similar triangles are shown in the attached photo.
Triangle ABC is similar to triangle XZY. Therefore,
AB/XZ = BC/ZY = AC/XY
From the dimensions given,
(x-8)/45 = (2x - 8)/24
Cross multiplying,
24(x-8) = 45(2x - 8)
24x - 192 = 90x - 360
Collecting like terms and making the terms containing the variable, x be on the left hand side and the constants be on the right hand side,
24x - 90x = -360+92
-66x = -268
x = 268/66
x = 4.06
x = 4
