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
The point (-3,3) lies on a circle. What is the length of the radius of this circle if the center is located at (10,6) ?
Amiraneli [1.4K]
The radius is from center to point on a circle. 
So your task is  count distance between two points: S(10,6) and A(-3,3). 
Distance between two points A(x1, y1) and B(x2, y2)  count from this formula:
|AB|=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\ \\ \hbox{So:} \\ \\ r=|SA|=\sqrt{(-3-10)^2+(3-6)^2}=\sqrt{(-13)^2+(-3)^2}=\sqrt{169+9}= \\ r= \sqrt{178}
5 0
3 years ago
Read 2 more answers
Can you please help me with this question. ​
blondinia [14]

Answer:

<h3>a. </h3>

Step-by-step explanation:

this my answer is perfect yap

4 0
3 years ago
How do I find the volume of L-Blocks?
KIM [24]
You have to multiply to find it 
6 0
3 years ago
Read 2 more answers
What is the length of segment of A’B?
tino4ka555 [31]

Answer:

8

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
You have 48 in a yellow ribbon and 64 inches of red ribbon you want to cut the ribbon into pieces of equal length with no leftov
professor190 [17]

Answer:

16inchs

Step-by-step explanation:

the gcf of 48 and 64 is 16

5 0
3 years ago
Read 2 more answers
Other questions:
  • Tali started a pool cleaning business. She purchased cleaning supplies and charged the same amount for each pool cleaned. The ex
    8·2 answers
  • Fifty-three donkeys each hauled 62 pounds of grain from the mountain to the valley. all of the grain was loaded equally into 31
    8·2 answers
  • 12. Zac wil spend $185.00, or 5%, of his budget on gasoline. Gas prices have increased, and he needs to adjust his budget. If he
    10·1 answer
  • Consider the function f(x)=4x-5. what is the domain value that corresponds to an output of f(x)=11?
    10·1 answer
  • Wilson’s theorem says that a number N is prime if and only if (N − 1)! ≡ −1 (mod N). (a) If p is prime, then every number 1 ≤ x
    14·1 answer
  • Can anyone tell the answer for the 3rd qouestion
    6·1 answer
  • 1. The first year you obtain your Professional Engineer seal, you design and observe construction of small dams, each of which i
    11·1 answer
  • 7. Which expression is a factor of x² + 2x – 15?
    7·1 answer
  • PLEASE HELP WORTH 50 POINTS
    14·1 answer
  • I will make u brainlest!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!