Answer:
C
Step-by-step explanation:
∠CDE = 0.5( mEC - m CE )
The arcs CE and EC must add to 360°, thus
arc EC = 360° - 105° = 255°, hence
∠CDE = 0.5(255 - 105)° = 0.5 × 150° = 75° → C
Answer:
The radius of the circle is 24 inches.
Step-by-step explanation:
Central angle in a sector is 90 degrees
Area of a sector is 
The area of sector is given by the formula as follows :
r is the radius of circle
So, the radius of the circle is 24 inches.
Answer:
150
Step-by-step explanation:
Since y is directly proportional to sqrt((x+2)^2), there is a constant,k, such that
y=ksqrt((x+2)^2)
We are given a pair (x,y) in this relation. Let's plug in (8,250 ) to find k.
250=ksqrt((8+2)^2)
250=ksqrt((10)^2)
250=k10
250/10=k
25=k
So for any pair (x,y) we have the relation y=25((x+2)^2).
We are asked to find y when x=4.
y=25((4+2))^2
y=25(6)
y=150
Test to see if y is proportional to sqrt((x+2)^2)
For the given points: 250/150=10/6
The equation is true so we're great.
Translating this sentence into symbols: 2(x+3) = x - 5
So 2x + 6 = x - 5 and x = -11
Check: Is 2(-11+3) = -11 -5? Is -16 = -16? YES. x =-11 is right.
