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
In-s [12.5K]
2 years ago
14

Answer each question below.

Mathematics
1 answer:
HACTEHA [7]2 years ago
7 0

Answer:

\huge\boxed{\sf L = 78\°}

Step-by-step explanation:

<h3><u>Given that:</u></h3>

Exterior angle of L = 5x + 12

M = 3x - 2

N = 50

<h3><u>Statement:</u></h3>
  • Exterior angle is equal to the sum of non-adjacent interior angles.

So, the exterior angle that is adjacent to L is equal to the sum of non-adjacent sides (M and N) of the triangle.

Here,

Exterior angle of L = M + N

5x + 12 = 3x - 2 + 50

5x + 12 = 3x + 48

Subtract 12 to both sides

5x = 3x + 48 - 12

5x - 3x = 36

2x = 36

Divide 2 to both sides

x = 18

So,

<h3><u>Measure of angle M:</u></h3>

= 3x - 2

= 3 (18) - 2

= 54 - 2

= 52°

Now,

<h3><u>Measure of angle L:</u></h3>

<u>We know that,</u>

  • Sum of all the interior angles of triangle is 180 degrees.

L + M + N = 180°

L + 52 + 50 = 180

L + 102 = 180

Subtract 102 to both sides

L = 180 - 102

L = 78°

\rule[225]{225}{2}

You might be interested in
Write -41.27 as a mixed number.
Salsk061 [2.6K]

Answer:

-41 27/100

Step-by-step explanation:

4 0
2 years ago
I don’t know what it is<br> 15 ft. x 8 ft=
alexdok [17]

Answer:

The answer is 120 sq. ft.

3 0
2 years ago
The ratio of boys to girls in Ella’s grade is 3 to 4. The ratio of boys to girls in Minh’s grade is 4 to 5. Each grade has a tot
Aneli [31]

Answer:

In mih's school there are 100 boys

While in Ella's school there are 80 boys

Step-by-step explanation:

X*1/5=20

X=100

X*1/4=20

X=80

4 0
2 years ago
James and lena decide to share the cost of buying a car that costs $2500. If James agrees to pay $250 more than Lena, what is th
sesenic [268]
I believe it's $2250 since you just subtract.
4 0
3 years ago
Read 2 more answers
Which equation represents a line which is perpendicular to the line y=−4x−5?
AnnZ [28]

Answer:

y=\frac{1}{4}x-5

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • The scale on a map is 1 cm : 6.5 mi. The actual distance between Amelia's school and her house is 45 miles. How far apart are th
    13·1 answer
  • What is the value of (gof) (6)?
    8·1 answer
  • I DO NOT UNDERSTAND SOMEONE PLEASE HELP
    11·1 answer
  • A product code consists of a one-or two-digit number (including 0) followed by 5 not necessarily distinct letters. How many prod
    12·1 answer
  • A used car can be purchased by paying $1000 down at the time of purchase, and then paying $200 per month for 25 months. Write an
    9·1 answer
  • Elevator 1 moved up 10 feet from the ground level. Its position is labeled as +10. Elevator 2 moved down 5 feet from the ground
    5·1 answer
  • Sheryl and Tess play basketball for the Tigers. The probability of Sheryl making a free throw is 0.25 and the probability of Tes
    9·1 answer
  • Which ordered pair is a solution of the equation?
    5·2 answers
  • if I Owen 0.0186753 of a Bitcoin. if bit coin goes up $1000 from $50000 . how much would my Bitcoin gain in dollars? ​
    12·2 answers
  • Sophia works in a clothing store and earns $40 per day. She earns an extra $5 for each outfit
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!