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:
x = 5, y = -2
Step-by-step explanation:
<u>Given equations:</u>
<u>From the first equation we get:</u>
<u>Substitute x in the second equation, find y:</u>
- 3x - y = 17
- 3*(1-2y) - y = 17
- 3 - 6y - y = 17
- -7y = 17 - 3
- -7y = 14
- y = -14/7
- y = -2
<u>Find x:</u>
- x = 1 - 2y
- x = 1 - 2*(-2)
- x = 1 + 4
- x = 5
"<span>A= 1/2 h (a+b) solve for h"
</span>
bh + 1/2h
Answer:
-1+√6
-1-√6
Step-by-step explanation:
x²+2x-5=0
x=(-2±√(2²-4(-5)))/2=(-2±√(4+20))/2=(-2±√24)/2
x₁=(-2+√24)/2 or x₂=(-2-√24)/2
x₁=(-2+2√6)/2 or (-2-2√6)/2
x₁=-1+√6 or x₂=-1-√6
If you were getting 20% off of a £7.50 admission the new price would be £5.
This is due to the fact that 10% is 0.75
You can get 10% by dividing the number by 10.
10% doubled to get 20% is £1.50
7.50 minus the 20% off, 1.50, would be £5.
