100 = 2t + 4f
40= t + f
-----------
get t or f by itself first.
f = 40 - t : Then substitute it back into for f in the other equation
100 = 2t + 4f
100= 2t +4(40-t)
100= 2t + 160 - 4t
100 = -2t + 160
-160 -160
<u>-60 </u>= <u>-2t
</u>-2 -2
t = 30 (Then plug this into either equation to solve for f)
Therefore,
t = 30 questions
f = 10 questions
Jay’s elevation is at -20.
Talia’s elevation is at 20.
Answer:

Step-by-step explanation:
Area of a circle with radius
: 
Circumference of a sector with radius
: 
Area of sector with angle
:
.
Arc length of sector with angle
: 
Using these equations, we get the following information:
Area of circle: 
Circumference of a circle: 
Area of sector: 
Arc length of sector: 
Answer:
39°
Step-by-step explanation:
A radius of a circle (segment CD) drawn to the point of tangency (D) intersects the tangent (line DE) at a 90-deg angle.
That makes m<D = 90.
m<D + m<C + m<E = 180
90 + 51 + m<E = 180
m<E = 39
Answer:
c =
250
Step-by-step explanation: