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:
Step-by-step explanation:
-10<x≤8
Answer:
x=17
The angles are Vertical.
Step-by-step explanation:
6x17 equals 102. Then subtract 12 from 102 to get 90 degrees.
6(17)-12=90 degrees
Many numbers, when multiplied by
, are less than
. We can find an inequality for numbers
that are sufficient.
Clearly,
is the desired inequality. We divide by 7 to find that
determines working numbers.
Answer:
200 ducks total in the pond
Step-by-step explanation:
2% of x equals 4
0.02x = 4
x = 200
