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
PIT_PIT [208]
2 years ago
6

18 Geometry question: Use an algebraic equation to find the measure of each angle that is representative in terms of X

Mathematics
1 answer:
Dmitrij [34]2 years ago
4 0

Answer:

12x - 28° = 116°

7x + 32° = 116°

Step-by-step explanation:

12x - 28° and 7x + 32° are vertical angles. Vertical angles are congruent.

Therefore, to find the measure of each angle, we have to set each equation equal to each other as follows:

12x - 28° = 7x + 32°

Collect like terms

12x - 7x = 28 + 32

5x = 60

Divide both sides by 5

5x/5 = 60/5

x = 12

✔️12x - 28°

Plug in the value of x

12(12) - 28

= 144 - 28

= 116°

✔️7x + 32°

7(12) + 32

= 84 + 32

= 116°

You might be interested in
WILL GIVE ALL MY POINTS working alone, machine a takes 2 hours to build a car, working alone machine b takes 3 hours to build a
kati45 [8]

Answer:

It will take Machine A 20 additional minutes.

Step-by-step explanation:

First we have get the rate of work per hour, Machine A builds 1/2 of a car per hour, while Machine B builds 1/3 of a car per hour.

Using this we can determine the amount of work that has been done so far in one hour before Machine B broke down:

1/2 + 1/3 = 3/6 + 2/6 = 5/6

Now we can produce an equation accordingly to determine how much time it'll take machine a to finish the job:

5/6 + 1/2x = 1

1/2x = 1/6

x = 1/3 hours = 20 minutes

Note: In the question you typed "how much additional time will it take machine b to finish" but I think you meant machine a because machine b broke down. Please correct me if I'm wrong.

Hope this helps! And let me know if you have any questions!

7 0
3 years ago
PLEASE HELP I DONT KNOW HOW TO DO THIS
sergij07 [2.7K]

Answer:

step by step

Step-by-step explanation:

where

r = radius

h= height

Area of a cylinder = 2πrh+2πr^2

Area of a cylinder = 2π8(3)+2π8^2

Area of a cylinder = 176π = 552.92

Area of a hemisphere= 3r2π

Area of a hemisphere= 3(2)2π

Area of a hemisphere= 12π = 37.699111843

Area of the cylinder in this problem

176π - 12π = 164π

8 0
3 years ago
If there are 18 boxes with 12 caculators in each box how many caculators are there in total
Dahasolnce [82]
The number of calculators
= Number of boxes * calculators in each box
=18* 12
= 216 calculators
7 0
3 years ago
Can someone help on a)<br> please its due soon :(
san4es73 [151]
You have to draw a north line at A and measure the angle clockwise. So since B is due East of A, the bearing will be 090 degrees
3 0
3 years ago
Which equation matches the graph
Alina [70]

Answer:

C

Step-by-step explanation:

You can see from the graph that everytime x goes up by 1, y goes down by 4, so the slope is -4.

The y-intercept is at -1

This means that the equation would be C. y = -4x - 1

8 0
3 years ago
Other questions:
  • Ellie is a 45-year-old woman who has not yet planned for retirement. She would like to retire at age 67. Answer each question us
    6·1 answer
  • What is the smallest angle of rotational symmetry that maps a regular pentagon onto itself?
    10·2 answers
  • URGENT!!!!!!!!!!!!!!!!!!
    5·1 answer
  • Answer the following questions CORRECTLY I will know if this is wrong. I WILL REPORT ANY INCORRECT ANSWERS!
    13·2 answers
  • FAST PLEASE !!!!
    7·1 answer
  • Y=4x−9<br> Complete the missing value in the solution to the equation
    12·1 answer
  • Answer for Brainiest, 25 points and 5 stars with thanks
    9·1 answer
  • Which shows the expressions in the order they would appear on a number line from least to greatest?
    13·1 answer
  • .
    11·1 answer
  • Distance between -9,6 and -2,1
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!