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notsponge
1 month ago
12

Triangle X Y Z is shown. The length of side X Y is (9 n + 12) feet and the length of side X Z is (15 n minus 6) feet. Angles X Y

Z and Y Z X are congruent. Consider isosceles ΔXYZ. What is the value of n? What is the measure of leg XY? ft What is the measure of leg XZ? ft
Mathematics
1 answer:
babunello [11.8K]1 month ago
7 0

Answer:

n = 3

XY = 39

XZ = 39

Step-by-step explanation:

Given

XY = 9n + 12

XZ = 15n - 6

Solving for (a): n

To find n;

We will utilize

XY = XZ

Substituting values for XY and XZ

9n + 12 = 15n - 6

9n - 15n = -12 - 6

-6n = -18

Dividing by -6

n = 3

Solving for (b) XY

XY = 9n + 12

Substituting 3 for n

XY = 9 * 3 + 12

XY = 27 + 12

XY = 39

Solving for (c): XZ

XZ = XY

XZ = 39

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