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]
4 years ago
12

Find the values of a, b and c.

Mathematics
1 answer:
valina [46]4 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
A train travels with a constant speed of 86 kilometers per hour. How far can it travel in 4 hours
pantera1 [17]
Do 86 x 4 = answer.......Tell me when you got it :)
3 0
3 years ago
Read 2 more answers
What are the steps for using a compass and straightedge to construct a regular hexagon inscribed in a circle?
N76 [4]
The steps to construct a regular hexagon inscribed in a circle using a compass and straightedge are given as follows:

1. <span>Construct a circle with its center at point H.

2. </span><span>Construct horizontal line l and point H on line l

3. </span>Label the point of intersection of the circle and line l to the left of point H, point J, and label the point of intersection of the circle and line l to the right of point H, point K.<span>

4. Construct a circle with its center at point J and having radius ​ HJ ​ . Construct a circle with its center at point K having radius ​ HJ

5. </span><span>Label the point of intersection of circles H and J that lies above line l, point M, and the point of their intersection that lies below line l, point N. Label the point of intersection of circles H and K that lies above line l, point O, and the point of their intersection that lies below line l, point P.

6. </span><span>Construct and JM⎯⎯⎯⎯⎯, MO⎯⎯⎯⎯⎯⎯⎯, OK⎯⎯⎯⎯⎯⎯⎯, KP⎯⎯⎯⎯⎯, PN⎯⎯⎯⎯⎯⎯, and NJ⎯⎯⎯⎯⎯ to complete regular hexagon JMOKPN .</span>
3 0
3 years ago
An automatic dog feeder in the shape of a cone has a height of 18 cm. if it holds about 8,308 cm of dog food, what is the radius
weqwewe [10]

Answer:

35.3

Step-by-step explanation:

4 0
3 years ago
Find the volume of each figure. Simplify your answers.
Molodets [167]

Answer:

231.556

simplifyed?: 232

8 0
3 years ago
Laura wants to enlarge a picture she took at the beach to hang on her wall. The picture is 3 inches tall and 5 inches wide. If s
JulijaS [17]

Answer:

I think the answer will be 14.4 inches tall.

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • Identify all of the solutions of 4x2 + 7 = 25.
    14·1 answer
  • Will give brainliest to correct answer.
    10·2 answers
  • ???!! Someone pleaseee help me
    11·1 answer
  • On a necklace of 100 beads, 45 of the beads are round. The rest of the
    11·2 answers
  • At a restaurant, your bill is $130. If you want to<br> leave a 10% tip,<br> what is your total?
    10·2 answers
  • (6x – 30° and m
    7·1 answer
  • The Price of is shorts is $20 and the tax 8% what is the selling price?
    11·2 answers
  • Find the value of the variable.
    15·1 answer
  • Which term best describes point N?
    5·1 answer
  • The minor arc measures of circle Z are shown in the figure.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!