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The value of the variable x will be 37°. Then the measure of the angle ∠QNP will be 105°.
<h3>What is an angle?</h3>
The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.
Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.
The measure of angles ∠MNQ = (2x + 1)° and ∠QNP = (3x - 6)°.
Then the value of x will be
We know that the angles ∠MNQ and ∠QNP are supplementary angles. Then the value of the variable x will be
∠MNQ + ∠QNP = 180°
(2x + 1)° + (3x - 6)° = 180°
5x - 5° = 180°
5x = 185°
x = 37°
Then the measure of the angle ∠QNP will be
∠QNP = [3(37) - 6]°
∠QNP = 111° - 6°
∠QNP = 105°
The value of the variable x will be 37°. Then the measure of the angle ∠QNP will be 105°.
More about the angled link is given below.
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Answer:
65
Step-by-step explanation:
13*5=65
13 is a prime number and so is 5
13+5=18
18 is a factor of 36
the answer is 65
Anzelm wants to burn 540 calories while jogging. Jogging burns about 12 calories per minute.
he usually plans to stop and rest for about 5 minutes.
m represents the total minutes.
12 calories per minute.
for m minutes the calories burn is 12m
He stop and rest for about 5 minutes. so we need to subtract 5 from total minutes
So expression becomes 12(m-5)
He wants to burn 540 calories. So we set the calories = 540
The equation becomes ,
12(m-5) = 540
Now we solve for m , total number of minutes
12(m-5) = 540(divide by 12 on both sides)
m - 5 = 45
m = 50 ( add 5 on both sides)
Anzelm should plan to be out jogging for 50 minutes
The scale factor would be 1:1 (1) for this question