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
Sauron [17]
2 years ago
15

Find X, and the two angle measures.

Mathematics
1 answer:
Snowcat [4.5K]2 years ago
5 0

Answer:

x = -4

m<LMP = 77°

m<NMP = 103°

Step-by-step explanation:

Straight angles by definition have a total measure of 180°.

This means that m<LMP and m<NMP are 180° together.

Therefore m<LMP + m<NMP = 180°.

[substitution property]

(-16x + 13)° + (-20x + 23)° = 180°

[associative property of addition]

(-36x + 36)° = 180°

-36x + 36 = 180

–36 –36

-36x = 144

÷-36 ÷-36

x = -4

_________________

Since m<LMP = (-16x + 13)°.

Using substitution with x = -4:

m<LMP = (-16(-4) + 13)° = (64 + 13)° = 77°.

Since m<NMP = (-20x + 23)°.

Using substitution with x = -4:

m<NMP = (-20(-4) + 23)° = (80 + 23)° = 103°.

This is true because 77° + 103° = 180°.

You might be interested in
The ratio of books to magazines in the classroom is 7:3. If there are 28 books in the
ss7ja [257]

Answer:

Step-by-step explanation:

7 books.................................3 magazines

14 books.................................6 magazines

21 books................................9 magazines

28 books..............................12 magazines

of course we ca do it

7/3=28/x

x=(3*28)/7=12

6 0
2 years ago
Help pleaseeeeeeeeeeeeee!!!!!!!!!!!!!!!! T^T
artcher [175]
1 + (-5/8) = 3/8

Explanation: If the coffee wasn’t drank it would’ve been at fraction 1 (or 100%)

Since he drank 5/8 of it. The coffee left is now 1-(5/8)

But since the question has asked to give the equation in addition format. Put a plus sign in between the two.

Therefore,
1 + (-5/8)

Solve it,
= 1-(5/8)
= (8-5)/8
= 3/8

Hence the equation is:

1 + (-5/8) = 3/8.
8 0
3 years ago
Read 2 more answers
A base ball is thrown a distance of 60 feet what is its speed if it take 5 seconds to cover the distance
vagabundo [1.1K]
60 ft. / 5 sec = 12 mph.
4 0
3 years ago
Read 2 more answers
Help please and thank you
marysya [2.9K]

Answer:

Step-by-step explanation:

4/5

1/2

8 0
2 years ago
Read 2 more answers
What is the slope of the line if the points are (-5,0) (5,-4)?
PtichkaEL [24]
Put your points in a graphing calculator and it will show you the answer
7 0
3 years ago
Other questions:
  • Suppose that some country had an adult population of about 50 million, a labor-force participation rate of 60 percent, and an un
    10·1 answer
  • Pls show work. 3.14 for pi
    15·1 answer
  • Jodie bought some shirts for $6 each Marge bought some shirts for $8 each the girls spent the same amount of money on shirts wha
    13·2 answers
  • A plane flies x mph. How far can it go in y hours? Which expression represents this?
    7·1 answer
  • 45% of what number is 17.1?<br> Please help <br> 20 points
    14·2 answers
  • What is the correct classification of 23x + 16?
    9·1 answer
  • Farmer sells 6.2 kg of pears and apples at the farmers market 3/5 of this away is Paris, and the rest is apples. How many kilogr
    8·1 answer
  • Triangle FED is the image of triangle ABC. Angle A corresponds with which angle?
    11·2 answers
  • Find dy/dx given that y = sin(cos(x))​
    5·1 answer
  • The sum of two consecutive integers is 75.<br> What is the first number?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!