It would be 1,2,3 because -2 goes to 0 and then 0 goes to 1 and then 1 goes to 2 and then 2 goes to 3 and so on
I’m assuming they lost $125 due to supplies
$200-$125 would be balance
Answer:
80
Step-by-step explanation:
The two sides of the triangle are the same so the bottom right angle is also 50. 50 + 50 is 100 and 180 - 100 is 80 so x=80. I subtracted 100 from 180 because all the angles in a triangle add up to 180.
Answer:
Part 1)
see the procedure
Part 2) ![m\angle PNQ=\frac{1}{2}[arc\ PQ]](https://tex.z-dn.net/?f=m%5Cangle%20PNQ%3D%5Cfrac%7B1%7D%7B2%7D%5Barc%5C%20PQ%5D)
Part 3) The angles are not congruent. The measure of angle PNQ is half the measure of angle POQ
Step-by-step explanation:
Part 1) Describe the relationship between angle POQ and arc PQ
we know that
<u><em>Central angl</em></u>e is the angle that has its vertex in the center of the circumference and the sides are radii of it
we have that
----> by central angle
Part 2) Describe the relationship between angle PNQ and arc PQ
we know that
The <u><em>inscribed angle</em></u> is half that of the arc it comprises.
In this problem, the angle PNQ is an inscribed angle
so
![m\angle PNQ=\frac{1}{2}[arc\ PQ]](https://tex.z-dn.net/?f=m%5Cangle%20PNQ%3D%5Cfrac%7B1%7D%7B2%7D%5Barc%5C%20PQ%5D)
Part 3) Are the angle POQ and PNQ congruent?
The angles are not congruent, because
![m\angle POQ=arc\ PQ](https://tex.z-dn.net/?f=m%5Cangle%20POQ%3Darc%5C%20PQ)
![m\angle PNQ=\frac{1}{2}[arc\ PQ]](https://tex.z-dn.net/?f=m%5Cangle%20PNQ%3D%5Cfrac%7B1%7D%7B2%7D%5Barc%5C%20PQ%5D)
substitute
![m\angle PNQ=\frac{1}{2}[m\angle POQ]](https://tex.z-dn.net/?f=m%5Cangle%20PNQ%3D%5Cfrac%7B1%7D%7B2%7D%5Bm%5Cangle%20POQ%5D)
therefore
The measure of angle PNQ is half the measure of angle POQ
Answer: B) (96pi + 160) cm2
Step-by-step explanation: