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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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5 0
3 years ago
A circle with a diameter of 10 inches has a circumference of a square, what is the length of each side of the square? ​
Veronika [31]

The circumference is πd, and the diameter is 10, so the circumference is 10π. All sides of a square are equal, so the length of each side is 10π/4, which is 2.5π.

The length of each side of the square is 2.5π  

7 0
4 years ago
Choose all of the equations that graph as an increasing function.
Allushta [10]

Answer:

A. y = -(-x) +7 = x + 7

D. y = 0.05x + 10



3 0
3 years ago
the slope of a line passing through h (-2, 5) is -3/4. Which ordered pair represents a point on this line? ​
rosijanka [135]

Answer:

A

Step-by-step explanation:

Calculate the slope of the given points with the point (- 2,  5 )

If the slope is - \frac{3}{4} then the point is on the line

Calculate slope m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (- 2, 5) and (x₂, y₂ ) = (6, - 1)

m = \frac{-1-5}{6+2} = \frac{-6}{8} = - \frac{3}{4} ← point (6, - 1) is on the line

Repeat with (x₁, y₁ ) = (- 2, 5 ) and (x₂, y₂ ) = (2, 8)

m = \frac{8-5}{2+2} = \frac{3}{4} ← point (2, 8) is not on the line

Repeat with (x₁, y₁ ) = (- 2, 5) and (x₂, y₂ ) = (- 5, 1)

m = \frac{1-5}{-5+2} = \frac{-4}{-3} = \frac{4}{3} ← point (- 5, 1) is not on the line

Repeat with (x₁, y₁ ) = (- 2, 5) and (x₂, y₂ ) = (1, 1)

m = \frac{1-5}{1+2} = - \frac{4}{3} ← point (1, 1) is not on the line

Thus the point on the line is (6, - 1 ) → A

4 0
3 years ago
What is the center and radius of the circle? *<br> x² – 2x + 5+ y² = 8
wolverine [178]

Answer: center (1;0), radius = 2

Step-by-step explanation:

x² – 2x + 5+ y² = 8

x² – 2x + 5+ y² = x² – 2x + 1 + 4 + y² = (х-1)² +4 + y²

(х-1)² +4 + y² = 8

(х-1)² + y² = 8 - 4 = 4

(х-1)² + y² = 2²

center (1;0), radius = 2

5 0
4 years ago
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