Find the perimeter of the polygon. Assume that lines which appear to be tangent are tangent. Round to the nearest tenth if necessary.

The perimeter of the polygon is 53.6 units.

Solution:

The reference image to the answer is attached below.

AP = 8, BQ = 7.8 and CR = 11

AP and AR are tangents to a circle from an external point A.

BP and BA are tangents to a circle from an external point B.

CQ and CR are tangents to a circle from an external point C.

Tangents drawn from an external point to a circle are equal in length.

⇒ AP = AR, BP = BQ and CQ = CR

AR = 8

BP = BQ

⇒ BP = 7.8

CQ = CR

⇒ CQ = 11

Perimeter of the polygon = AP + BP + BQ + CQ + CR + AR

                                          = 8 + 7.8 + 7.8 + 11 + 11 + 8

                                          = 53.6

The perimeter of the polygon is 53.6 units.

answer: expected value of x = 1.0

step-by-step explanation:

p(x=0) = 0.25

p(x=1) = 0.50

p(x=2) = 0.25

expected value for x = 0×0.25 + 1×0.5 + 2×0.25 = 1.0

if you explain the the question more correctly i might be able to answer this better

step-by-step explanation: