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podryga [215]
4 years ago
10

WILL GIVE BRAINLIEST, SUPERB RATING, AND THANKS!

Mathematics
2 answers:
rosijanka [135]4 years ago
5 0

Congruent triangles are exactly the same, meaning they have the same side length, and thus same angles. Everything is exactly the same, as easy as it gets :)


So, you can compare the two pictures to get the informations you need:


x = 90^\circ, since it is a right angle


y = 38^\circ, as we can see on the right by comparison


w = 52^\circ. In fact, the angles of a triangle sum to 180^\circ, so we have x+y+w = 90+38+w = 128+w = 180. So, w = 180-128 = 52


v = 7.9yd, as we can see on the left by comparison.


Finally, we can compute z using the Pythagorean theorem:


z = \sqrt{u^2+v^2} = \sqrt(6.2^2+7.9^2) \approx 10

Georgia [21]4 years ago
4 0

approxamitly 10 is the answer

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