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
DENIUS [597]
3 years ago
9

Find the value of x. Then find the measure of each labeled angle. x = 37.5; the labeled angles are 77.5º and 102.5º. x = 37.5; t

he labeled angles are 37.5º and 142.5º. x = 15; both labeled angles are 55º. x = 25; both labeled angles are 65º.

Mathematics
1 answer:
Ne4ueva [31]3 years ago
3 0

Answer:

x = 25; both labeled angles are 65º

Step-by-step explanation:

To find the value of x, recall that the angles formed by two parallel lines on the same line are equal if they correspond to each other.

In the figure given above, we have two parallel line given. The angle formed by each parallel line is corresponding to the other. Therefore, both angles formed are equal.

Thus,

(3x - 10)° = (x + 40)°

Solve for x

3x - 10 = x + 40

Subtract x from both sides

3x - 10 - x = x + 40 - x

3x - x - 10 = x - x + 40

2x - 10 = 40

Add 10 to both sides

2x - 10 + 10 = 40 + 10

2x = 50

Divide both sides by 2

2x/2 = 50/2

x = 25

*Plug in the value of x to find the measure of each labelled angles:

(3x - 10)° = 3(25) - 10 = 75 - 10 = 65°

(x + 40)° = 25 + 40 = 65°

You might be interested in
The quotient obtained when an integer is divided by its additive inverse is ________________.
LenaWriter [7]

Answer: -1

Step-by-step explanation: Let the integer be x

It's additive inverse = -x

= x / -x = -1

7 0
3 years ago
Gavin, Colin and Dan share some sweets in the ratio 1:4:1. Gavin gets 11 sweets. How many did Colin get?
djverab [1.8K]

If Gavin got 11 sweets, then the new ratio would be: 11:44:11

Colin got 44 sweets.

4 0
3 years ago
What are 237 times 62
Basile [38]

Answer:

14694

Step-by-step explanation:

4 0
3 years ago
What is the length of PR?
GuDViN [60]

Answer:

you have to provide a picture or something as well

Step-by-step explanation:

5 0
3 years ago
What is 9 times 199 in distributive property
Mrrafil [7]

Answer:

1791

Step-by-step explanation:

6 0
2 years ago
Other questions:
  • Plot the data for the functions f(x) and g(x) on a grid
    9·1 answer
  • 2x+20=-3x-25 help me solve it
    15·2 answers
  • Inez earns $160 per month by babysitting. She saves 25% of her monthly salary. If her salary increases by 10%, how much will she
    13·1 answer
  • I need help please help me.
    14·1 answer
  • Find the area and the circumference of a circle with radius 7 cm.
    6·1 answer
  • Please help.
    14·2 answers
  • A small publishing company is planning to publish a new book. The production costs will include one-time fixed costs (such as ed
    11·1 answer
  • Find the domain and range of the function represented by the graph. Select all that apply.
    7·1 answer
  • What sum is represented by the following number line?
    6·2 answers
  • Find the value of the variable in the parallelogram.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!