5/8 is the answer to this question
Answer:
716 yards
Step-by-step explanation:
Circumference = π × Diameter
2 × Radius = Diameter
2 × 114 = 228
Circumference = π × Diameter
Circumference = π × 228 = 228π = 716.283125018
Answer:
Step-by-step explanation:
The outside angle of B needs to equal 180 - 79 = 101 degrees.
The 3 outside angles of a triangle need to equal 360 degrees.
Set up the equation with what we know:
X + (x+5) + 101 = 360
Simplify:
2x + 106 = 360
Subtract 106 from both sides:
2x = 254
Divide both sides by 2:
x = 254 / 2
x = 127
Question 9
Given the segment XY with the endpoints X and Y
Given that the ray NM is the segment bisector XY
so
NM divides the segment XY into two equal parts
XM = MY
given
XM = 3x+1
MY = 8x-24
so substituting XM = 3x+1 and MY = 8x-24 in the equation
XM = MY
3x+1 = 8x-24
8x-3x = 1+24
5x = 25
divide both sides by 5
5x/5 = 25/5
x = 5
so the value of x = 5
As the length of the segment XY is:
Length of segment XY = XM + MY
= 3x+1 + 8x-24
= 11x - 23
substituting x = 5
= 11(5) - 23
= 55 - 23
= 32
Therefore,
The length of the segment = 32 units
Question 10)
Given the segment XY with the endpoints X and Y
Given that the line n is the segment bisector XY
so
The line divides the segment XY into two equal parts at M
XM = MY
given
XM = 5x+8
MY = 9x+12
so substituting XM = 5x+8 and MY = 9x+12 in the equation
XM = MY
5x+8 = 9x+12
9x-5x = 8-12
4x = -4
divide both sides by 4
4x/4 = -4/4
x = -1
so the value of x = -1
As the length of the segment XY is:
Length of segment XY = XM + MY
= 5x+8 + 9x+12
= 14x + 20
substituting x = 1
= 14(-1) + 20
= -14+20
= 6
Therefore,
The length of the segment XY = 6 units
