Apentagon has the following measurements what is interior angles: (x-8), (3x-11), (x+8), (x), and (2x+7). which of the following could be measurements for interior angles of a pentagon.

60°

68°

76°

193°

Step-by-step explanation:

step 1

Calculate the sum of the interior angles in a pentagon

The formula to calculate the sum of the interior angles is equal to

S=(n-2)180°

where

n is the number of sides

In this problem

n=5 sides

substitute

S=(5-2)180°=540°

step 2

Find the value of x

(x-8)+(3x-11)+(x+8)+(x+(2x+7)=540°

(8x-4)=540°

8x=540°+4°

x=544°/8=68°

step 3

Find the measures of the internal angles of the pentagon

(68-8)°=60°

(3*68-11)=193°

(68+8)=76°

68°

(2*68+7)=143°

answer: 486in^2

step-by-step explanation:

in counting the number of heads in 4 coin flips, the probability that we get exactly one head is the probability that we get anyone of the following 4 outcomes: httt, thtt, ttht, or ttth. each has probability 1/16, so the probability to get exactly one head in 4 flips is 1/16 + 1/16 + 1/16 + 1/16 = 4/16 = 1/4.