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cricket20 [7]
3 years ago
6

Gh bisects fgi. solve for fgi,fgh,hgi solve for x Simplify all answers ​

Mathematics
1 answer:
Lelechka [254]3 years ago
5 0

Answer:

fgi = 48

fgh = 24

hgi = 24

Step-by-step explanation:

Bisection divides an angle into two equal angles,

So,

4x - 20 = 3x - 9

4x - 3x = - 9 + 20

x = 11

fgi = 3x - 9 + 4x - 20

= 3x + 4x - 20 - 9

= 7x - 29

= 7 ( 11 ) - 29

= 77 - 29

fgi = 48

fgh = 3x - 9

= 3 ( 11 ) - 9

= 33 - 9

fgh = 24

hgi = 4x - 20

= 4 ( 11 ) - 20

= 44 - 20

hgi = 24

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In a classroom of 33 students, the ratio of boys to girls is 3:8. How many boys are in the class?
Hunter-Best [27]
X=number of boys
y=number of girls.

We can suggest the following system of equations:
x+y=33
x/y=3/8

We solve this system of equations by substitution method.
x/y=3/8       ⇒x=3y/8

(3y/8)+y=33
least common multiple=8
3y+8y=33*8
11y=33*8
y=(33*8)/11
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x+y=33
x+24=33
x=33-24
x=9

number of boys /total number of students=9/33=3/11

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Answer: C: 9. since 3/11 of the students are boys. 

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3 years ago
What is the formula for average rate of change​
emmasim [6.3K]

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