1. C) Consecutive Interior Angle
2.D) Alternate Interior Angle
Answer:
<em>∠TUV = 56°</em>
Step-by-step explanation:
<em>∠TUV = 1/2 ∠TWV</em>
<em>∠TUV = 112° ÷ 2 = 56°</em>
<u>We know that:</u>
Slope of a line = change in y coordinate / change in x coordinate
<u>We are given:</u>
First point = (2,5)
Second point = (5, 14)
<u>Calculating the change in y coordinate:</u>
change in y (also represented by Δy) = second y - first y
Δy = 14 - 5
Δy = 9
<u>Calculating the change in x coordinate:</u>
Δx = second x - first x
Δx = 5 - 2
Δx = 3
<u>Slope of the line:</u>
Slope = (Δy) / (Δx)
Slope = 9 / 3 [replacing the values]
Slope = 3
Answer:
(8,-3)
Step-by-step explanation:
The given parabola is

We factor -3 from the first two terms to get:

Add and subtract the square of half the coefficient of x


We simplify to get:

We compare this to y=a(x-h)²+k,
The vertex is (h,k)=(8,-3)
Answer:
11/32
Step-by-step explanation:
4/16 + 2/16 - 1/32
simplify and solve