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TEA [102]
2 years ago
5

Given the diagram below, Philip thinks the value of x is 9, but Mia thinks the value of x is 12. Which student is correct? Justi

fy your answer.

Mathematics
1 answer:
pantera1 [17]2 years ago
3 0

Answer:

Mia is correct

Step-by-step explanation:

The outer triangle and the inner triangle are similar ( AA postulate )

Then the ratios of corresponding sides are in proportion

\frac{2}{2+6} = \frac{3}{x} , that is

\frac{2}{8} = \frac{3}{x} ( cross- multiply )

2x = 24 ( divide both sides by 2 )

x = 12

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