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Galina-37 [17]
3 years ago
8

How do you solve this?

Mathematics
1 answer:
Scrat [10]3 years ago
3 0

Answer:

w=5   x=2.1    y=5.4   z= 14.1

Step-by-step explanation:

w² = 13² - 12² = 25

w = 5

cos ∠1 = 12/13 = 13/(12+x)

12 (12+x) = 13 x 13 = 169

144 + 12x = 169

12x = 25

x = 25/12 = 2.08 = 2.1

∠1 + ∠2 = 90°

∠2 + ∠4= 90°    ∠4 = ∠1

sin ∠4 = x/y = sin ∠1 = 5/13

5y = 13x

y = 13/5 x = 13/5 * 25/12 = 65/12 = 5.4

z = 12 + x = 12 + 2.08 = 14.08 = 14.1

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