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prisoha [69]
3 years ago
15

Help please? Does anyone understand this?

Mathematics
2 answers:
Gennadij [26K]3 years ago
8 0
The correct answer would be choice D
Alexxandr [17]3 years ago
3 0

Answer:

15

Step-by-step explanation:

TU is parallel to IJ.  So ∠I and ∠T are corresponding angles, and ∠U and ∠J are corresponding angles.

By AA similarity, ΔHTU and ΔHIJ are similar.

Write a proportion:

HT / HI = HU / HJ

Plug in values:

4 / 10 = x / (x + 9)

Cross multiply:

4 (x + 9) = 10x

4x + 36 = 10x

36 = 6x

x = 6

So HU = 6, and HJ = 6 + 9 = 15.

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