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.
brainly.com/question/15767203
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They would have made $9 million more than last year.
A) See the attached graph. The purple area appears to be what you want to find.
b) Integrating with respect to x seems much easier. If one were to integrate over y, there would need to be two regions of integration: [1, e^2] and [e^2, e^4].
c)
The height of the rectangular prism is 5 cm
The rectangular prism has a base area of 16 cm².
<h3>Volume of rectangular prism;</h3>
Therefore,
V = 16h
where
h = height of the rectangular prism
Another box has a volume of 320 cm³ and holds 4 of the rectangular prism with no extra space.
Therefore,
4(16h) = 320
64h = 320
divide both sides by 64
64h / 64 = 320 / 64
h = 5
Therefore, the height of the rectangular prism is 5 cm
learn more on rectangular prism here: brainly.com/question/26187572
Step-by-step explanation:
radius=2.9 cm
circumference=2πr
=2*22/7*2.9
=18.2 cm
