Answer: m∠E = 20.5°
m∠GPF = 47°
Step-by-step explanation: An inscribed angle is an alge formed with its vertex on the circle. Its relation with arc is that the measure of an inscribed angle is half the measure of the intersected arc. For that reason:
m∠E = 
m∠E = 
m∠E = 20.5°
Angle in F is:
m∠F = 
m∠F = 
m∠F = 26.5°
The angle GPF is external to the triangle EPF, so the angle can be found by the following definition: The measure of an external angle of a triangle equals the sum of the non-adjacent angles, i.e.:
m∠GPF = m∠E + m∠F
m∠GPF = 20.5 + 26.5
m∠GPF = 47°
Answer:
x=20
Step-by-step explanation:
We can use similar triangle to find x. Put the smaller triangle over the larger triangle.
11 10
-------- = ----------
121+11 10 +5x+10
Combine like terms
11 10
-------- = ----------
132 20+5x
Using cross products
11 (20+5x) = 132*10
Distribute
220 +55x = 1320
Subtract 220 from each side
220-220 +55x = 1320-220
55x = 1100
Divide by 55
55x/55= 1100/55
x =20
Answer:
x/5+9
Step-by-step explanation:
Answer:

if not solving simultaneously, that is the result
It would be: 5/6 * -4/15 = -20/90 = -2/9
So, option B is your answer.
Hope this helps!