answer.
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
insens350
1 month ago
4

If LMP is 11 degrees more than NMP and NML=137 find each measure

Mathematics
1 answer:
Zina [12.1K]1 month ago
5 0
Assuming angle NMP measures y degrees,
we have two known facts to form equations:
The measure of angle LMP is 11 degrees greater than that of angle NMP,
which gives:
measure of angle LMP = y + 11 ..............> equation 1
Also, the sum of angles LMP and NMP equals angle NML, which is 137 degrees.
So:
angle LMP + angle NMP = angle NML ............> equation 2

Substitute equation 1 into equation 2:
y + 11 + y = 137
2y + 11 = 137
2y = 126
y = 63 degrees

Therefore, based on the above:
angle NMP = 63 degrees
angle LMP = 63 + 11 = 74 degrees
You might be interested in
A rectangular prism with integer side lengths has a height of $3$. If the surface area of the prism is equal to $52$, then what
lawyer [12288]
The given details include: Height of the rectangular prism, h = 3 units, Surface area of the prism, A = 52 sq units. We need to determine the volume of the prism. The volume of a rectangular prism can be calculated using the formula: l = length and b = breadth. Given that the surface area of the prism, A = lb, we have it equal to 52 sq units. Consequently, the volume is 156 cubic units.
3 0
26 days ago
The length if Marshall's rectangular poster is 2 times its width.If the perimeter is 24 inches, what is the area of the poster.
Inessa [12318]
Dimensions of the rectangle are defined as Length=2x
Width=x
The formula for perimeter is given by 2(Length) + 2(Width).

First, we need to determine the dimensions of the rectangle, specifically its length and width.

We can derive this equation:
24=2(2x)+2(x)
4x+2x=24
6x=24
x=24/6
x=4

Consequently, Length becomes 2x, leading to 2(4)=8.

Therefore, the length is 8 inches and the width is 4 inches.

Next, we will calculate the area of the rectangle.
The area can be computed as Length multiplied by Width.

Area=(8 in)(4 in)=32 in²

Conclusion: The area of Marshall's rectangular poster is 32 in².

4 0
1 month ago
Leslie determined that the system of equations below has infinitely many solutions. Is she correct?
tester [12085]

Respuesta:

Leslie determinó que el siguiente sistema de ecuaciones tiene infinitas soluciones. ¿Está en lo correcto?

x=4y-4

2x-8y=-24

A. Sí, Leslie está en lo correcto.

B. No, la solución es (-8,-24)

C. No, la solución es (0,-16)

D. No, el sistema de ecuaciones no tiene solución.

Explicación paso a paso:

debes resolverlo como un par de ecuaciones simultáneas y no hay soluciones

si necesitas una explicación más detallada, vuelve a publicar la pregunta y lo haré con gusto

por favor márcalo como el más útil


6 0
13 days ago
Read 2 more answers
A factory produces 5-packs of pencils. To be within the weight specifications, a pack of 5 pencils should weigh between 60 grams
zzz [12059]
Given:
1 pack = 5 pencils and cardboard.
1 pack should weigh between 60 grams and 95 grams

60g < x < 95g; where x signifies 1 pack.

Cardboard: 15 grams.

95g - 15g = 80g represents the maximum total weight of 5 pencils.
80g / 5 = 16g is the maximum weight for a single pencil.

60g - 15g = 45g is the minimum total weight of 5 pencils.
45g / 5 = 9g is the minimum weight for a single pencil.

9 < x < 16; where x represents a single pencil in the pack.

8 0
6 days ago
A spinner is divided into five equal sections numbered 1 through 5. Predict how many times out of 240 spins the spinner is most
PIT_PIT [12108]
If an odd number is required, it is more likely to be 29 times rather than 28

.
3 0
6 days ago
Other questions:
  • Shana wants to use all 62 feet of the fencing she has to make a rectangular run for her dog. She decides to make the length of t
    7·2 answers
  • −4x+60&lt;72 or 14x+11&lt;−31 solve for x
    8·2 answers
  • Krystal gets paid $750 every two weeks. She wants to save money for next month's rent but she also needs clothes. Does Krystal h
    12·2 answers
  • Elisha is a photographer and charges a set fee to photograph weddings. This is an example of _____ income.
    15·2 answers
  • I increase a number by 24% the answer is 6014 what number did I start with
    13·1 answer
  • Two friends went rowing on the river. They first traveled with current for 3 hours. The way back took them 4 hours and 48 minute
    10·2 answers
  • Javier uses 1/8 teaspoons of nutmeg for bread how much nutmeg do u need for 8 loafs of bread
    13·1 answer
  • Exhibit: Department Store.
    12·1 answer
  • Which algebraic expression shows the average melting points of helium, hydrogen, and neon if h represents the melting point of h
    13·2 answers
  • There were 48 blue, 48 green and 48 yellow crayons. Also there were 72 red crayons and 120 colored pictures. What is the largest
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!