Answer:
see below
Step-by-step explanation:
mROP= 125°
mSOQ= mROP= 125°
mROQ=mPOS= 180°-125°= 55°
<u>Sum of measures of all arcs in the circle= 2π</u>
mRP= mQS=2π*125/360=25/36π
mQR=mPS=2π*55/360=11/36π
mPRQ= half circle= 2π/2= π
mRPQ= 2π-mQR= 2π- 11/36π= 61/36π
Answer:
80°
Step-by-step explanation:
because a straight parallel line is 180°
For this case we have a system of two equations with two variables:
Clear "o" from the first equation:
We substitute in the second equation:
ANswer:
Answer:
Step-by-step explanation:
First you have to do everything in the brackets, or [ ]. -7+-3--8 is equivalent to 8-3-7, which equals -2. After that you have to do the braces, or {}. That is -5--2, which is the same thing as 2-5, which equals -3. Finally, you can finish it out. -4--2--3 is equivalent to 3+2-4, which equals 1. Hope this helps!
<h3>Part 1</h3>
If we simplify, both Joe and Hope factored the polynomial correctly but Joe didn't complete it fully.
<u>The first binomial can be further factored:</u>
<h3>Part 2</h3>
The quadratic expression needs to have two roots in order to be factored as two binomials.
<u>The discriminant must be positive or zero:</u>
We have a = 3, b = k, c = -8
<u>So we get following inequality:</u>
- k² - 4*3*(-8) ≥ 0
- k² + 96 ≥ 0
<u>Since k² is positive for any value of k, the solution is any value of k:</u>
