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Shkiper50 [21]
3 years ago
13

Line a is parallel to line b, m∠1=2x +44, and m∠5x+38. Find the value of x.

Mathematics
1 answer:
Soloha48 [4]3 years ago
5 0

2x + 44 = 5x + 38
5x - 2x = 3x
44 = 3x + 38
44 - 38 = 6
6 = 3x
2 = x

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Given \tan A = \frac{7}{{24}}, find the cos B
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We are given

tan(A)=\frac{7}{24}

we know that

tan(A)=\frac{opposite}{adjacent}

so, we get

opposite =7

adjacent=24

now, we can find hypotenuse

hypotenuse=\sqrt{7^2+24^2}

hypotenuse=25

now, we can draw triangle and then switch vertices accordingly

we can find cos(B) using second triangle

cos(B)=\frac{adjacent}{hypotenuse}

In second triangle:

adjacent=7

hypotenuse =25

so, we get

cos(B)=\frac{7}{25}................Answer

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