All categories

1 year ago

Angles A and B are complementary. If sin A = 5x + 9 and cos B = 3x + 21, what is the value of x? (1 point) 2 6 15 39

Mathematics

1 answer:

nadezda [96]1 year ago

7 0

The value of x is 6.

<h3>What are complementary?</h3>

Complementary angles are angles that sum up to 90°.

Analysis:

For angles A and B, to be complementary, the sine of angle A must be equal to the cosine of angle B.

sin A = cos B

5X+9 = 3x+21

5x - 3x = 21 - 9

2x = 12

x = 6

In conclusion, the value of x to make angles A and B complementary is 6.

Learn more about complementary angles: brainly.com/question/98924

#SPJ1

You might be interested in

Marvel or DC? Which is better?

goldfiish [28.3K]

Answer: Abby- Marvel

Step-by-step explanation:

Just way better and deeper plotline in my personal opinion.

8 0

2 years ago

Read 2 more answers

8.61 X 10^-8 as decimal form. ASAP

ipn [44]

0.0000000861 is your answer

8 0

2 years ago

Read 2 more answers

Use the diagram shown. If BC = 14, AB = 11, and the perimeter of triangle ABC is 39, then what is the value of BD?

RUDIKE [14]

Answer:

BD=5.5

Step-by-step explanation:

11 divided by 2 gives you the answer

7 0

2 years ago

Find the area of each face of the triangular prism and the total surface area.

Mashutka [201]

Answer:

area of each triangular base = 24

area of bottom rectangular face = 160

area of back rectangular face = 120

area of sloped rectangular face = 200

Total = 504

Step-by-step explanation:

8 0

3 years ago

What are the solutions to the equation 3(x – 4)(x + 5) = 0?

iris [78.8K]

Answer:

x=4 and x= - 5

Step-by-step explanation:

In order to solve this we should re-arrange the equation:

$(x-4)(x+5)=\frac{0}{3}$

This is equal to:

$(x-4)(x+5)=0$

Then we can seperate this into:

$(x-4)=0\\(x+5)=0$

So solving for x in both cases we get

$x-4=0 \\x=4\\And\\x+5=0\\x=-5\\$

4 0

2 years ago