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BlackZzzverrR [31]
3 years ago
13

Find the missing segment.

Mathematics
1 answer:
Bond [772]3 years ago
3 0

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!

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