Answer:
Decomposition, synthesis, replacement
Step-by-step explanation:
I'm assuming D is the center of the circle. See the new figure.
Angle BDC = 106 degrees, that's the definition of arc measure.
Triangle BDC is isosceles (two radii make congruent sides) so the two remaining angles in BDC are equal, DBC=DCB=(180-106)/2=37 degrees.
Angle BAC = 106/2 = 53 degrees, subtending the arc of 106 degrees.
Angle CAD = 53/2 = 26.5 degrees because AD is a bisector, the shared hypotenuse of congruent right triangles AED and AFD.
AFD is also congruent to CFD, so angle DCA is also 26.5 degrees
Angle ACB is the sum of DCA and DCB, ACB = 26.5 + 37 = 63.5 degrees
The angle subtends the arc we seek, whose measure must be double:
10x - 23 = 2(63.5) = 127 degrees
10x = 150
x = 15
Answer: 15
Answer:
cone, , , , base, h, height, same, , , 3
Step-by-step explanation:
The volume of a cone is equal to the volume of a cylinder that has the same base and height. The formula for the volume of a cone is . stands for the area of the base and h is the height of the cone. Knowing this, we could quickly find the volume of a cone that has the same base and height as a cylinder with a volume of 9 cubic cm. Since the volume of a cone is the volume of a cylinder (with the same base and height), we would multiply 9* to obtain a volume of 3 cubic cm.
Answer:
Your answer is
60% apply means 30k *0.6= 18000
30% enroll so,.0.3*18k = 5400
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