Question

Please help!!!! Urgent!! PLEASE HELP!!!!

Answer 1

Answer:

In triangle WXV and SRT,

If both triangles are similar than their ratio of corresponding sides are equal.

$⟹\frac{XY}{XW} = \frac{US}{SR}$

$⟹\frac{27}{3x-21} = \frac{24}{x+13}$

$⟹(27)(x+13) = (24) (3x-21)$

$⟹27x +351 = 72x - 504$

$⟹27(x+13) = 9(8x-56)$

$⟹3x+39 = 8x-56$

$⟹8x-3x = 39+56$

$⟹5x = 95$

$⟹x=19$

In triangle DFE and IHJ,

If both triangles are similar than their ratio of corresponding sides are equal.

$⟹\frac{GF}{EF} = \frac{IK}{HI}$

$⟹\frac{9}{x+8} = \frac{14}{3x-2}$

$⟹(9)(3x-2) = (14)(x+8)$

$⟹27x-18=14x+112$

$⟹27x-14x=112+18$

$⟹13x=130$

$⟹x =\frac{130}{13}$

$⟹x=10$

$⟹EF = x+8$

$⟹EF =10+8$

$⟹EF=18$