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
finlep [7]
4 years ago
14

Find the measure of Angle 5. measure of angle 7 = 2x+15measure of angle 8 = 3x

Mathematics
1 answer:
xenn [34]4 years ago
3 0

Answer:

x=33

Measure of angle 5=81

Measure of angle 6=99

Measure of angle 7=81

Measure of angle 8=99

Step-by-step explanation:

Angles 7 and 8 are supplementary because they share a common vertex while laying on a line.

That is the measurement of angles 7 and 8 add up to be 180.

mAngle7+mAngle8=180

(2x+15)  + (3x )        =180

 2x+15   + 3x           =180

Combine like terms:

 5x+15                      =180

Subtract 15 on both sides:

 5x                            =180-15

Simplify right hand side:

 5x                            = 165

Divide both sides by 5:

  x                             =165/5

Simplify right hand side:

  x                             =33

The measure of angle 7 is 2x+15=2(33)+15=66+15=81.

The measure of angle 8 is 3x=3(33)=99.

Recall vertical angles are congruent.

5 and 7 are vertical so the measure of angle 5 is 81.

6 and 8 are vertical so the measure of angle 6 is 99.

Measure of angle 5=81

Measure of angle 6=99

Measure of angle 7=81

Measure of angle 8=99

You might be interested in
Inverse of the function f(x)=4x
Pani-rosa [81]

Answer:

f(x)^-1 = x/4

Step-by-step explanation:

f(x)=4x

inverse

x = 4y

rewrite

4y = x

y = x/4

Answer:

f(x)^-1 = x/4

4 0
3 years ago
Read 2 more answers
How many times larger is 2000 than 2
Snowcat [4.5K]
2000 is 1000 times larger than 2
7 0
3 years ago
Read 2 more answers
A store manager wants to determine how much to pay her employees. The number of hours the employees work is x, and the hourly wa
Ivanshal [37]

Answer:

<em>The employees will work for 1 hour, will earn $5 per hour and will be paid $5</em>

Step-by-step explanation:

<u>System of Equations</u>

The number of hours the employees work is x.

And the hourly wage that they are paid is y. The store manager is willing to pay the employees a wage given by the equation

10y-30x=20

The business owner states that the employees should be paid a wage given by the equation

6y+30x=60

Adding both equations we have:

16y = 80

Dividing by 16:

y = 80/16 = 5

Substituting into the first equation:

10*5-30x=20

Operating and simplifying:

50-30x=20

50 - 20 = 30x

30x = 30

x = 30/30 = 1

Thus, the employees will work for 1 hour, will earn $5 per hour and will be paid $5

6 0
3 years ago
How much acetic acid is in a 5 liter container that is marked 80% acetic acid. How much is water
Vinvika [58]

Answer:

1 liter of water

Step-by-step explanation:

If 80 % is acid that's means 4 liters of the 5 is acid. (0.8 * 5)

The remaining amount is 1

8 0
3 years ago
Read 2 more answers
You answer 32 questions correctly on a 45 question test. You need a score of at least 70% to pass. Do you pass? Explain
Taya2010 [7]

Answer:

Yes

Step-by-step explanation:

32 divided by 45 = .7111111111111111111

7 0
3 years ago
Read 2 more answers
Other questions:
  • Whats the ratio of A's and B's - abbbaaa
    5·1 answer
  • Sparkle Cleaners uses 2 3 of a jug of window cleaner in 3 weeks. How much window cleaner do they use in 1 week? Simplify your an
    8·1 answer
  • Can someone explain to me what prime numbers are?
    8·2 answers
  • It cost 55.60 for 8 burgers what is the cost of one burger
    7·1 answer
  • Mr. Romero attached a ramp to the base of a window sill so that the family cat could more easily climb into it. The ramp is 84 i
    11·2 answers
  • For any number n&gt;1, is<br> (1+i)n<br> a. Greater than 1?<br> b. Less than 1?<br> C. Equal to 1?
    13·2 answers
  • -5x - 1 help people
    9·1 answer
  • PLZ HELP E!!!!!!! WILL MARK BRAINLIEST
    6·1 answer
  • Nan says 21/4 is equal to 5 1/4. Dorothy says it is equal to 4 1/5. Who is correct? Show your work to prove the right answer.
    12·2 answers
  • Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!