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
Allushta [10]
2 years ago
10

Use the triangle shown to find m∠Q and m∠S.

Mathematics
1 answer:
Elodia [21]2 years ago
6 0
<h2><u>Hope this helps :)</u></h2>

Step-by-step Example 1:

Two angles are supplementary. If the measure of the angle is twice the measure of the other, find the measure of each angle.

Let the measure of one of the supplementary angles be a .

Measure of the other angle is 2 times a .

So, measure of the other angle is 2a .

If the sum of the measures of two angles is 180° , then the angles are supplementary.

So, a+2a=180°

Simplify.

3a=180°

To isolate a , divide both sides of the equation by 3 .

3a3=180°3    a=60°

The measure of the second angle is,

2a=2×60°       =120°

So, the measures of the two supplementary angles are 60° and 120° .

Step-by-step Example 2:

Find m∠P  and  m∠Q if ∠P  and  ∠Q are supplementary, m∠P=2x+15 , and m∠Q=5x−38 .

The sum of the measures of two supplementary angles is 180° .

So, m∠P+m∠Q=180°

Substitute 2x+15 for m∠P and 5x−38 for m∠Q .

2x+15+5x−38=180°

Combine the like terms. We get:

7x−23=180°

Add 23 to both the sides. We get:

7x=203°

Divide both the sides by 7 .

7x7=203°7

Simplify.

x=29°

To find m∠P , substitute 29 for x in 2x+15 .

2(29)+15=58+15

Simplify.

58+15=73

So, m∠P=73° .

To find m∠Q , substitute 29 for x in 5x−38 .

5(29)−38=145−38

Simplify.

145−38=107

So, m∠Q=107° .

You might be interested in
Please help best answer gets brainliest
Fofino [41]

Answer:

5

Step-by-step explanation:

20/4 is 5 (4 sides)

6 0
2 years ago
Evaluate the expression when a=3 and b=4<br><br> 2a2 + b =
dedylja [7]

Answer: 16

Step-by-step explanation:

2x3x2+4

6x2+4

12+4

16!

3 0
3 years ago
Joseph invested $16,000 in an account paying an interest rate of 5.7% compounded continuously. Assuming no deposits or withdrawa
Whitepunk [10]

Answer:

$35,537.51

Step-by-step explanation:

8 0
3 years ago
Write an expression using the distributive property to find the product of 7×63
Nataliya [291]
7*(60+3)=7*60+7*3= 420+21=441
4 0
3 years ago
Which statement is true?
WITCHER [35]

Answer: bro its the last one

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Other questions:
  • What is the height of a triangle whose base is 9 centimeters and whose area is 126 square centimeters
    7·1 answer
  • On average, the moon is 384,400 kilometers from the Earth . How is this distance written in scientific notation?
    8·1 answer
  • A bakery sold a total of 500 cupcakes in a day, and 5% of them were vanilla flavored. How many of the cupcakes sold that day wer
    12·2 answers
  • Use the distributive property to match equivalent expressions.
    12·2 answers
  • A line passes through the point (9,-6) and has a slope of 4/3. Write an equation in point-slope form for this line
    12·1 answer
  • Is it A or C for sure sure it’s not b because I got it wrong hellpppo
    14·1 answer
  • Hamburger sales for 3 lb for $6 if Alicia buys 10 lb of hamburger how much will she pay
    15·2 answers
  • Chad completed 75% of a book when he read the first 180 pages. How many pages are in the book?
    9·1 answer
  • What is the identity of cos 2 θ
    5·1 answer
  • What is the percent of increace if you go from 44$ to 55$
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!