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lyudmila [28]
3 years ago
8

In the triangle below, with right angle ZE, suppose that m ZD= (3x+38) and mZF=(4x+3)°.

Mathematics
1 answer:
lilavasa [31]3 years ago
5 0

Answer:

for \: a \: right \: angled \: triangle \\ (3x + 38) + (4x + 3) + 90 = 180 \\ (4 + 3)x = 180 - (90 + 38 + 3) \\ 7x = 49 \\ x = 7 \\  \\  mZD=(3x + 38) \\  = (3 \times 7) + 38\\ mZD = 59° \\  \\ mZF=(4x+3)° \\  = (4 \times 7) + 3 \\ mZF = 31°

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How can i solve this question
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It is really simple. The ratio between both the triangles is 7, so you just divide 49 by 7(it gives you 7) to get the value of x. The answer is option (a) 7.

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