Question

Solve for x. Round to the nearest tenth if necessary.

Answer 1

Answer:

x = 19

Step-by-step explanation:

Since, both the triangles (small and large) given in the picture are similar,

Their corresponding sides will be in the same ratio.

By applying this property,

$\frac{20}{36}= \frac{30}{30+(x+5)}$

$\frac{5}{9}= \frac{30}{x+35}$

5(x + 35) = 9 × 30

5x + 175 = 270

5x = 270 - 175

5x = 95

x = $\frac{95}{5}$

x = 19