Answer:
Part A) x=9 and m∠FGH=29°
Part B) m∠HGI=29°
Part C) m∠FGI=58°
Step-by-step explanation:
Part A) Solve for x and find m∠FGH
we know that
m∠FGI=m∠FGH+m∠HGI
If GH bisects FGI
then
m∠FGH=m∠HGI
substitute the values
4x-7=5x-16
solve for x
5x-4x=16-7
x=9
m∠FGH=4x-7
m∠FGH=4(9)-7=29°
Part B) Find the measure of angle HGI
m∠HGI=5x-16
Remember that
m∠FGH=m∠HGI
Verify
m∠HGI=5(9)-16=29° -----> is correct
Part C) Find the measure of angle FGI
m∠FGI=m∠FGH+m∠HGI
substitute the values
m∠FGI=29°+29°=58°
These are all parts of circles.
A radius is the distance from the center of a circle to the edge.
A chord is a line segment from 2 different places on a circle.
A tangent is a line that touches the edge of a circle in only 1 place.
Inscribed angles are inside a circle and circumscribed angles are on the outside of a circle.
Answer:
8
Step-by-step explanation:
4-2=2
2x9=18
18+6=24
24/4=6
6+2=8
=8
Answer:
the probability that the song should be played on accurately 3 days out of 5 days is 0.051
Step-by-step explanation:
Given that
The probability that a particular song is played is 1 by 5
We need to find out the probability that the song should be played on accurately 3 days out of 5 days
So,

= 0.051
Hence, the probability that the song should be played on accurately 3 days out of 5 days is 0.051
The same is considered