Answer:
x = 5
Step-by-step explanation:
The corresponding segments are proportional, so you can write any of several equations relating the different segment lengths. Here's one way:
top segment/bottom segment = x/(x+5) = (x-2)/(x+1)
Multiply by the product of denominators:
(x +1)x = (x +5)(x -2)
x² +x = x² +3x -10 . . . . . eliminate parentheses
10 = 2x . . . . . . . . . . . . . . add 10 -x -x² to both sides of the equation
5 = x . . . . . divide by 2
Answer:
x = 57/5 = 11.400
Step-by-step explanation:
Step 1 :
Solving a Single Variable Equation :
1.1 Solve : 5x-57 = 0
Add 57 to both sides of the equation :
5x = 57
Divide both sides of the equation by 5:
x = 57/5 = 11.400
One solution was found :
x = 57/5 = 11.400
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The formula is L = 2 pi r * (angle measure / 360). We have everything we need to solve this, the angle is 90 and the radius is 12: L = 2 pi (12) (90/360). Do the work inside the parenthesis first to get : L = 2 pi (12)(.25). Solving for L: L = 6pi
Midpoint formula = (-9 + 6) / 2 = -3/2
