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
Nikitich [7]
3 years ago
5

In the diagram below, m_MON = 1249, m _ MOP = 2x + 1, and m2 NOP = 2x

Mathematics
1 answer:
miv72 [106K]3 years ago
5 0

Answer:

The answer is below

Step-by-step explanation:

The Angle Addition Postulate states that the measure of an angle formed by two or more angles which are placed side by side is the sum of the measures of the two angles.

Therefore:

∠MON = ∠MOP + ∠NOP (angle addition postulate)

Substituting values gives:

124 = (2x + 1) + (2x + 1)

124 = 2x + 2x + 1 + 1

124 = 4x + 2

subtracting 2 from both sides of the equation:

124 - 2 = 4x + 2 - 2

4x = 122

Dividing through by 4:

4x / 4 = 122 / 4

x = 30.5

Therefore ∠MOP = 2x + 1 = 2(30.5) + 1 = 62°, ∠NOP = 2x + 1 = 2(30.5) + 1 = 62°

∠MOP = 62°, ∠NOP = 62°

You might be interested in
Find f(t – 3) for f(x) = 4x^2 – 8x + 4.
Vladimir79 [104]

Answer:

<h2>A. 4t² - 32t + 64</h2>

Step-by-step explanation:

Instead of x put (t - 3) in the equation of the function f(x) = 4x² - 8x + 4:

f(t - 3) = 4(t - 3)² - 8(t - 3) + 4

<em>use (a - b)² = a² - 2ab + b² and the distributive property a(b + c) = ab + ac</em>

f(t - 3) = 4(t² - (2)(t)(3) + 3²) + (-8)(t) + (-8)(-3) + 4

f(t - 3) = 4(t² - 6t + 9) - 8t + 24 + 4

f(t - 3) = (4)(t²) + (4)(-6t) + (4)(9) - 8t + 28

f(t - 3) = 4t² - 24t + 36 - 8t + 28

f(t - 3) = 4t² + (-24t - 8t) + (36 + 28)

f(t - 3) = 4t² - 32t + 64

3 0
3 years ago
PLEASE HELP :(((((((((
ziro4ka [17]
The first box would be 3.14 then second box would be the pi symbol and the third box would be 22/7
4 0
3 years ago
The supplement of a angle 30 degrees less than twice the measure of the angle itself. Find the angle and supplement
In-s [12.5K]

Answer:

The angle: 70\°

The supplement: 110\°

Step-by-step explanation:

By definition, if the sum of two angles is 180 degrees, then this angles are called "Supplementary Angles".

Let be:

x the angle (in degrees) and 2x-30 its suppplement (in degrees).

Therefore, you can write the following equation in order to find the angle and its supplement:

x+2x-30=180

Now, you must solve for "x". Then:

3x=180+30\\\\x=\frac{210}{3}\\\\x=70

Then:

 2x-30=2(70)-30=140-30=110

7 0
3 years ago
Read 2 more answers
Ashlyn is selling boxes of cookies for a fundraiser. If she raised $26 selling eight boxes, how much will she raise if she sells
allochka39001 [22]
She raises thirteen dollars
6 0
3 years ago
Read 2 more answers
Which answer represents the following conditional statement in shorthand? If it is not a fruit, then it is not an apple
Gelneren [198K]

Answer:

The shorthand that represent the contrapositive statement is  ~F → ~A

Step-by-step explanation:

The parameters given are;

If it is not a fruit, then it is not an apple

The above is a logic statement which can be rewritten as a conditional statement as follows;

If something is an apple then it is a fruit

Which gives

If p then q

Where:

A = Apple

F = Fruit

Therefore, when we write;

If something is not a fruit, then it is not an apple

We have

~F → ~A

Which is a contrapositive conditional statement

The shorthand that represent the contrapositive statement is therefore, ~F → ~A.

7 0
3 years ago
Other questions:
  • The ratio of trumpet players to tuba players at a high school is 5:2 Which statement is true?
    9·1 answer
  • Twenty students in class A an 20 students in class B were asked how many hours they took prepare for a exam
    11·1 answer
  • Ok, i need to determine if it can be written as a fraction. Then state the reason.
    11·1 answer
  • Estimate using compatible numbers. Show the numbers used. 1286÷ 32
    5·1 answer
  • An arithmetic sequence has second term 28 and the fifth term 52. (3 marks) a. Find u1 and d. b. Find u10
    14·1 answer
  • Terri wrote the system of linear inequalities.
    12·1 answer
  • What is 5/6 of 3/4 ?
    9·1 answer
  • Christina is planning to buy a new cellphone at IT&amp;E that costs $149.99. This is $25.99 cheaper than the phone at the gas st
    12·1 answer
  • 0.00<br> 4)3.4 8<br> - 00<br> 20<br> -00<br> 0
    7·1 answer
  • Please help me <br>i really want to know the answer<br>and the explanation for this problems​
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!