1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Kay [80]
4 years ago
14

Suppose ∠A and ∠B are complementary angles, m∠A = (3x + 5)°, and m∠B = (2x – 15)°. Solve for x and then find m∠A and m∠B

Mathematics
2 answers:
Whitepunk [10]4 years ago
8 0
Two angles are complementary when they add up to 90°  ⇒

∠A + ∠B = 90°
3x + 5 + 2x - 15 = 90
5x - 10 = 90
5x = 90 + 10
5x = 100
x = 100/5
x = 20

<span>m∠A = 3x + 5 = 3*20 + 5 = 60 + 5 = 65</span>°<span>
</span><span>m∠B = 2x - 15 = 2*20 - 15 = 40 - 15 = 25</span>°<span>
</span>
stiv31 [10]4 years ago
8 0

Answer:

x=20

m\angle A=65

m\angle B=25

Step-by-step explanation:

We have been given that ∠A and ∠B are complementary angles. The measure of angle A is 3x+5 degrees and measure of angle B is 2x-15 degrees.

We know that complementary angles add up-to 90 degrees, so we can set an equation as:

3x+5+2x-15=90

5x-10=90

5x-10+10=90+10

5x=100

\frac{5x}{5}=\frac{100}{5}

x=20

Therefore, the value of x is 20.

m\angle A=3x+5

m\angle A=3(20)+5

m\angle A=60+5

m\angle A=65

Therefore, the measure of angle A is 65 degrees.

m\angle B=2x-15

m\angle B=2(20)-15

m\angle B=40-15

m\angle B=25

Therefore, the measure of angle B is 25 degrees.

You might be interested in
? * 2/3 = 1<br><br> 1÷ 2/3 = ?
In-s [12.5K]

Answer:

-9

Step-by-step explanation:

becuase 5/8/6=-9

5 0
3 years ago
Find the difference.<br><br><br>( 3 - 2x + 2<img src="https://tex.z-dn.net/?f=x%5E%7B2%7D" id="TexFormula1" title="x^{2}" alt="x
goldfiish [28.3K]
The answer is d, laminuos now has to go to Britain to disconcerted what was right.
8 0
3 years ago
Read 2 more answers
Ava is buying paint from Amazon. Ava needs 3⁄4 cup of blue paint for every 1 cup of white paint. Ava has 28 ounces of white pain
Drupady [299]

Answer:

21

Step-by-step explanation:

So we know the ratio is 3/4:1

So if she has 28 ounces of white pain, we can do 28*3/4=21. You could also do 28/4 (find out how much 1/4 of the value is) which is 7 and then multiply that by 3. What your basically doing is your putting it into 4 equal parts and then just multiplying by 3 since that's the amount of parts you need/have.

8 0
3 years ago
Classify the triangle: a triangle with one right angle and no congruent sides.
VikaD [51]

Answer:

Scalene Traingle

Step-by-step explanation:

Because a scalene triangle has no congruent sides, but can be a right angle (90 degree)!

3 0
3 years ago
Read 2 more answers
Round 34,330 to the nearest thousand
vovangra [49]

Answer:30,000

Step-by-step explanation:

5 or more is greater 4 or you give it a rest

3 0
4 years ago
Read 2 more answers
Other questions:
  • Which ordered pair is the solution to the system of linear equations shown on the graph?
    13·1 answer
  • Which of the following values has 4 significant figures?
    14·1 answer
  • Nancy had 165 bear stickers Nancy gave 65 stickers to Fred 36 stickers to her sister and an additional 42 stickers to Jess how m
    12·1 answer
  • Help!!! It’s for a class
    6·2 answers
  • A square picture with a side length of 4 inches needs
    7·1 answer
  • Which integral gives the area of the region in the first quadrant bounded by the graphs of y^2 = x − 1, x = 0, y = 0, and y = 2?
    6·1 answer
  • 9x + 7y = -12 find the value of y when x equals 1
    10·2 answers
  • In lo year's time a father will be twice as old as his daughter. lo years ago he was six times as old as his daughter. How old i
    12·1 answer
  • Here are the prices for cheese pizza at a certain pizzeria:
    13·2 answers
  • Amanda is a fashion designer. She has 25 yards of silk material. The skirtAmanda is making requires 1 yards, the dress requires
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!