Answer: The central angle measures 135 degrees
Step-by-step explanation: We have been given an arc with length 9pi/2 feet and a radius of 6 feet. The arc is shown in the attached diagram (please see attachment). The central angle subtended by this arc is at point O and has been labeled angle X.
So if the diagram shows arc AB with length 9pi/2 and radius AO with length 6, we can use the formula to compute “Length of an arc” to arrive at the missing angle.
Length of an arc = X/360 x 2pi x radius
Substituting for the known values, our formula can now be re-written as
9pi/2 = X/360 x 2pi x6
By cross multiplication we now have
9pi/2pi x 6 = 2X/360
We simplify as much as possible by dividing all like terms, hence pi divides pi on the left side of the equation. Also 2 divides 360 on the right side of the equation.We now arrive at,
9/12 = X/180
Simplify even further and we have
3/4 = X/180
By cross multiplication we now have
(3 x 180)/4 = X
540/4 = X
135 = X
Therefore the central angle that intercepts the arc measures 135 degrees.
Answer:
72.32
Step-by-step explanation:
i have spoken
The anchor point would be placed at the center of the triangle. In order to find this point, you have to construct three angle bisectors. Start from one vertex and intersect it to the midpoint of the opposite side. These angle bisectors are drawn in blue lines. The intersection of these bisectors, represented by the red dot, is the anchor point.
Answer: x=5
Step-by-step explanation:
ABC=ABD+CBD
ABD=CBD ==> Because they're formed from a bisecting line, meaning the angle ABC is divided into two equal angles.
5x-10=2x+5
3x-10=5
3x=15
x=5
Answer:
$52.50
Step-by-step explanation:
She makes $7.50 an hour multiple that by 7 hours and you get $52.50