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3 years ago

A and B are complementary angles. If A = (x + 9) and m B = (7x – 15)° then find the measure of B.

Mathematics

1 answer:

Marina CMI [18]3 years ago

3 0

Answer:

$coplementary \: angles \: = 90° \\ (x + 9)° + (7x - 15)° = 90° \\ (8x - 6)° = 90° \\ 8x = 90 + 6 \\ 8x = 96° \\ x = 12\\ angle \: B. = ((7 \times 12)- 15) \\ = 69°$

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Triangle A B C is shown. Angle B C A is a right angle. The length of hypotenuse B A is 9.8 inches, the length of C B is 6.3 inch

german

Answer:

$\angle B=\cos^{-1}\left(\dfrac{6.3}{9.8}\right)\\ \\\angle B=\sin^{-1}\left(\dfrac{7.5}{9.8}\right)$

Step-by-step explanation:

Consider right triangle ABC with right angle C.

In this triangle,

BA = 9.8 in
CB = 6.3 in
CA = 7.5 in

Write trigonometric functions:

$\cos \angle B=\dfrac{BC}{AB}=\dfrac{6.3}{9.8}\\ \\\sin \angle B=\dfrac{AC}{AB}=\dfrac{7.5}{9.8}$

Hence,

$\angle B=\cos^{-1}\left(\dfrac{6.3}{9.8}\right)\\ \\\angle B=\sin^{-1}\left(\dfrac{7.5}{9.8}\right)$

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Lana71 [14]

Answer:

Step-by-step explanation:

2x + y = 20 (1)

2x + 3y = 36 (2)

(2) - (1) ⇔ (2x - 3y) - (2x + y) = 36 - 20

⇔ 2y = 16

⇔ y = 8 (3)

From (3) and (1), we have:

2x + y = 2x + 8 = 20

⇔ 2x = 12

⇔ x = 6

So: C = x + y = 6 + 8 = 14

Conclusion : C = 14

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A and B are complementary angles. If A = (x + 9) and m B = (7x – 15)° then find the measure of B.​

A and B are complementary angles. If A = (x + 9) and m B = (7x – 15)° then find the measure of B.