Answer:
m∠P = 65°
Step-by-step explanation:
An Isosceles triangle has two sides of equal length and two interior angles of equal measure.
Sum of interior angles of a triangle = 180°
If QO ≅ PQ and the enclosed m∠Q = 50° then m∠P ≅ m∠O
⇒ m∠Q + m∠P + m∠O = 180
⇒ 50 + m∠P + m∠O = 180
⇒ m∠P + m∠O = 130
As m∠P ≅ m∠O:
⇒ m∠P = 130 ÷ 2 = 65°
Elaine's piece is bigger because when you look at the tenths place, you can see that 1 is bigger than 0.
<span>a. 17th percentile
First, take the data and sort it in increasing order, getting: 98 101 117 121 122 127 130 137 138 143 145 152.
The score of 117 is greater than 2 of the scores out of a total of 12 scores. So the percentile rank is 2/12 = 0.1666667 = 16.66667, or the 17th percentile. Therefore the answer is "a. 17th percentile"</span>
