Answer:
Given, ∠MNP=107 degree.
Therefore, ∠QPN= 107 degree. [as, MN=PQ]
We know, sum of four angles of a quadrilateral is 360 degree.
And as MN=PQ, ∠NMQ=∠MQP.
Therefore, ∠MQP= {360 degree-( 107degree+ 107 degree)}/2
=( 360 degree-214 degree)/2
= 146 degree/2
=73 degree.
hope this will help you.
Step-by-step explanation:
I know the 3rd question the answer is rectangle
To find the radius of the cylinder you will use the volume formula and solve for the radius.
V = pi x r^2 x h
83 = 3.14 x r^2 x 10
83 = 31.4 x r^2; divide both sides by 31.4
r^2 = 2.6; find the square root of 2.6
r = 1.6 in.
The radius is approximately 1.6 in.
Answer:

Step-by-step explanation:

Reduce the exponent of x.

Use the negative exponent rule: 

Use the rational exponent rule: ![a^\frac{m}{n} = \sqrt[n]{a^m}](https://tex.z-dn.net/?f=%20a%5E%5Cfrac%7Bm%7D%7Bn%7D%20%3D%20%5Csqrt%5Bn%5D%7Ba%5Em%7D%20)
