Question

Find the missing segment.

Answer 1

Answer:

? = 7.

Step-by-step explanation:

The two triangles are similar because of the AA Theorem.

The larger triangle's side that is equal to 9 + 3 corresponds to the smaller triangle's side length of 9, while the larger triangle's 21 + ? side corresponds to the smaller triangle's 21 side. Now, we can set up a proportion!

$\frac{9}{9+3} =\frac{21}{21 + ?}$

$\frac{9}{12} =\frac{21}{? + 21}$

$\frac{3}{4} =\frac{21}{? + 21}$

$\frac{1}{4} =\frac{7}{? + 21}$

? + 21 = 7 * 4

? + 21 = 28

? = 28 - 21

? = 7

Hope this helps!