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
coldgirl [10]
3 years ago
12

Find the values of a, b and c.

Mathematics
1 answer:
valina [46]3 years ago
7 0

Look at the picture.

Corresponding Angles are equal.

Alternate Angles are equal.

Consecutive Angles add up to 180°.

----------------------------------------------------------------------

3a and 45 are Consecutive Angles. Therefore

3a + 45 = 180    |subtract 45 from both sides

3a = 135      |divide both sides by 3

<h3>a = 45.</h3>

----------------------------------------------------------------------

(2c - 1) and 45 are Corresponding Angles. Therefore

2c - 1 = 45     |add 1 to both sides

2c = 46     |divide both sides by 2

<h3>c = 23.</h3>

----------------------------------------------------------------------

3a and (12b + 3) are Alternate Angles. Therefore

3(45) = 12b + 3

135 = 12b + 3     |subtract 3 from both sides

132 = 12b      |divide both sides by 12

<h3>b = 11.</h3>
You might be interested in
The perimeter of the rectangle is 80 feet. the ratio of the width to the length is 3 to 5. what are the dimensions of the rectan
Sedaia [141]
48:80.....................................
7 0
3 years ago
How do different function types compare?
Genrish500 [490]
They compare because there’s different problems to questions and different functions and some functions can match... your welcome:)
6 0
3 years ago
PLEASE I DESPERATELY NEED HELP WITHH THIS!!!!!!! I’ll give brainless and extra points!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Rina8888 [55]

Answer:

1. 4x + 6

2. -15x + 11

5. -x + 4

6. -4x + 7

9. 5x - 2

12. x + 16

Step-by-step explanation:

Remove the parenthesis for each one so everything's out in the open. Next, you group like terms. The numbers with variables on one side, and the other numbers on the other side. For example:

x + 3x - 2 + 8

Then, you combine like terms:

4x + 6

That's mostly how you do each one.

8 0
3 years ago
Help???????????????????
neonofarm [45]
I believe the answer you selected was correct, Have a great day, much love!
6 0
3 years ago
The monthly cost (in dollars) of a long-distance phone plan is a linear function of the total calling time (in minutes). The mon
andrew11 [14]

Answer:

oo kutte kamine nikal yha se chl ktle

6 0
3 years ago
Other questions:
  • Find an explicit rule for the nth term of a geometric sequence where the second and fifth terms are -12 and 768, respectively
    14·2 answers
  • <img src="https://tex.z-dn.net/?f=57.30%20-%2042.81" id="TexFormula1" title="57.30 - 42.81" alt="57.30 - 42.81" align="absmiddle
    10·1 answer
  • What contains genetic material but is not classified as living?
    7·2 answers
  • Exactamente a las 6:45 am mi reloj se daño y comenzo a caminar en sentido contrario a la velocidad correcta, ahora son las 9:30
    13·1 answer
  • Jonah and three of his friends are splitting the dinner bill equally among theme selves. There total bill came to be $86 before
    6·1 answer
  • 72 divided(8- 2) times(3+1) equals
    6·2 answers
  • Pls answer I need help!!
    5·1 answer
  • Mrs. Dobbs wants to replace the grass in her backyard and needs to find the area, in square feet, so she can purchase sod. The a
    9·2 answers
  • Help! I will give brainilest to correct answer UwU
    13·2 answers
  • Evaluate. [(1 1/3−2/3)⋅(−3/4)^3]÷(−2) What is the value of the expression? Enter your answer as a simplified fraction in the box
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!