Answer:
<u>The measure of the arc CD = 64°</u>
Step-by-step explanation:
It is required to find the measure of the arc CD in degrees.
So, as shown at the graph
BE and AD are are diameters of circle P
And ∠APE is a right angle ⇒ ∠APE = 90°
So, BE⊥AD
And so, ∠BPE = 90° ⇒(1)
But it is given: ∠BPE = (33k-9)° ⇒(2)
From (1) and (2)
∴ 33k - 9 = 90
∴ 33k = 90 + 9 = 99
∴ k = 99/33 = 3
The measure of the arc CD = ∠CPD = 20k + 4
By substitution with k
<u>∴ The measure of the arc CD = 20*3 + 4 = 60 + 4 = 64°</u>
Answer:
y= 4x-7
Step-by-step explanation:
First, we need to find the slope. We can do this by using the formula:
1) y₂-y₁/x₂-x₁
2) 9-5/5-3
3) 4/2
4) The slope is 2
Next, we have to first plug the slope (2) and one of the coordinate pairs (I chose (3,5)) into point-slope format.
5) y-y₁=m(x-x₁)
6) y-5 =4(x-3)
7) Now we just simplify this equation to make it slope intercept form (y=mx+b)
8) y-5= 4x-12
9) y=4x-7
And there you have it :)
Answer:
x = 0
Step-by-step explanation:simplified is 8x-5y=0
I believe it's the 3rd one
