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
drek231 [11]
2 years ago
12

If m∠NOP = 24 and m∠NOQ = 110, what is m∠POQ? Angle N O Q divided into two unequal angles by ray O P. A. 62 B. 86 C. 134 D. 156

Mathematics
1 answer:
Dmitrij [34]2 years ago
5 0

Answer:

<em>B. 86 degrees</em>

Step-by-step explanation:

Given the following angles:

m∠NOQ = 110

m∠NOP = 24

Using the addition postulate:

m∠NOQ =  m∠NOP + m∠POQ

110 = 24 + m∠POQ

m∠POQ = 110 - 24

m∠POQ = 86

<em>Hence the measure of m∠POQ is 86 degrees</em>

You might be interested in
Write the equation of the graph obtained when the graph of y=1/x is compressed vertically by a factor of 0.25, translated 4 unit
Shtirlitz [24]

Answer: The equation is y = 0.25/(x - 4) + 3

Step-by-step explanation:

If we have a function y = f(x)

A compression means that we multiply the function by a factor smaller than 1.

Then the vertical compression by a factor of 0.25 is:

y = 0.25*f(x)

a translation by A units to the right, means that we need to valuate the function in x - A.

So now we have:

y = 0.25*f(x - 4)

A translation in the y-axis means that we need to add a constant to the equation, then if we tralate it by 3 units up, we have:

y = 0.25*f(x - A) + 3

Then, if f(x) = 1/x

Our new equation is:

y = 0.25/(x - 4) + 3

8 0
3 years ago
Read 2 more answers
A tiny songbird called the blackpoll warbler migrates each fall from North America. A tracking study showed one bird flew from V
Alexus [3.1K]

Answer:

<h3>2642km</h3>

Step-by-step explanation:

Given the map coordinates o a bird during travel from Vermont at cordinate (63,45) toto Venezuela at map coordinates (67,10). In order to know how far the bird has travelled, we need to find the distance between the two coordinates first using the formula;

D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Given x₁ = 63, y₁ = 45, x₂ = 67, y₂ = 10

D =\sqrt{(67-63)^2+(10-45)^2}\\ \\D = \sqrt{4^2+(-35)^2} \\\\D = \sqrt{16+1225} \\\\D = \sqrt{1241} \\\\D = 35.2278

If each map coordinate represents 75 kilometers, then the birds distance in km will be 75*35.2278 = 2642.087km

Hence the birds distance in km will be 2642km to the nearest kilometers

4 0
2 years ago
Solve the system of equations using substitution -3x + 2y = 12 x = 2y - 8
SCORPION-xisa [38]

Answer:

(-2, 3)

Step-by-step explanation:

Given the system of equations:

-3x + 2y = 12

x = 2y - 8

You can 'substitute' the expression '2y - 8' for the value of 'x' in the first equation and solve for 'y':

-3(2y - 8) + 2y = 12

Distribute: -6y + 24 + 2y = 12

Combine like terms: -4y + 24 = 12

Subtract 24 from both sides: -4y + 24 - 24 = 12 - 24 or -4y = -12

Divide both sides by -4: -4y/-4 = -12/-4  or y = 3

Use y = 3 to solve for 'x':

x = 2(3) - 8 or 6 - 8

x = -2

(-2, 3)

5 0
3 years ago
25x^2+1=5 quadratic
Olenka [21]
25x² + 1 = 5

25x² + 1 - 5 = 0

25x²  - 4 = 0          By difference of two squares

(5x)² - (2)² = 0

(5x - 2)(5x + 2) = 0

5x - 2 = 0    or          5x + 2 = 0

5x = 0 + 2                5x = 0 - 2

5x = 2                      5x = -2 

x = 2/5                      x = -2/5

x = 0.4                      x = -0.4 
 

x = + 0.4  or -0.4
3 0
2 years ago
HELP?<br><br> 7-15 please :) show work<br> thank you!
Alexus [3.1K]

Answer:

7. x = 3

Step-by-step explanation:

To find the value of x, use the triangle sum property. Every triangle has interior angles which add to 180 degrees. To solve, add the expressions and numbers together then set equal to 180. Then use inverse operations to solve for x.

7. 20x - 9 + 10x + 9 + 90 = 180             Subtract 90 from both sides.

   20x - 9 + 10x + 9 = 90                       Add -9 + 9 = 0

   20x + 10x = 90                                  Add like terms 20x + 10x = 30x

   30x = 90                                            Divide both sides by 30.

        x = 3

Repeat this process for each problem.

7 0
2 years ago
Other questions:
  • Which of the relations has a domain of {-5, 0, 5}?
    8·2 answers
  • PLZ ANSWER THIS QUICK! THANK YOU!
    6·1 answer
  • Waterway Industries has fixed costs of $15,000 per year. Its warehouse sells wine with variable costs of 70% of its unit selling
    14·1 answer
  • Help please !!!!!!!!!!!!!!11
    7·1 answer
  • What are the names for the sides of a triangle?
    8·1 answer
  • Pls answer this question
    6·1 answer
  • (NO LINKS) <br><br> Please help this assignment is over due and I don't get it thx ;)
    15·1 answer
  • How Do i get the correct answer for this?
    5·2 answers
  • <img src="https://tex.z-dn.net/?f=%5Csqrt%7Bx%7D%20%5E2%3D16" id="TexFormula1" title="\sqrt{x} ^2=16" alt="\sqrt{x} ^2=16" align
    13·1 answer
  • Kinsley takes a piece of wood that is 1 1/3 inches thick and glues it to a piece of wood that is 1 1/3 inches thick. Together, w
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!