100 points!

2.4. in the figure below, amno - apqr.
(3x + 6)
(5.8
15x - 19)
19)
l
(3x +
[3.x + 20.4)
what is the measure of zp?
ooo
• 19.7
0 24.4°
79.5
93.6

79.5 degrees

Step-by-step explanation:

We need to use CPCTC, which basically says that if two triangles are congruent their corresponding parts are also congruent. In this case, angle m and angle p are corresponding. We can set them equal to one another.

5x-19=3x+20.4

2x-19=20.4

2x=39.4

x=19.7

Plug x into the measure of angle p.

3(19.7)+20.4

59.1+20.4

79.5

d 25 pi/6

step-by-step explanation:

the diameter is 10 inches

the radius is 1/2 of the diameter or 5 inches

the area of the circle is

a = pi r^2

  = pi 5^2

  = 25 pi

the slice is 60 degrees of the entire circle.

60 degrees out of 360   60/360 = 1/6

the area of the slice is 1/6 of the circle

a slice = 1/6 a circle

a slice = 1/6 * 25 pi