Answer:
Angle Q is 51°
Angle R is 96°
(x=5 and the exterior angle is 84°)
Step-by-step explanation:
Exterior Angle Theorem says that angle that's outside the triangle (extend a side and see the angle between the side extension and the side) IS Equal to the sum of the two angles that are farther away.
17x - 1 = 33 + 10x + 1
Get all the x's on one side of the equation.
17x-10x - 1 = 33 + 10x-10x+1
7x - 1 = 33 + 1
7x - 1 = 34 add 1 to both sides
7x = 35 divide by 7
7x/7 = 35/7
x = 5
Not finished ! Find Angle Q
10x+1 = 10(5)+1= 51°
Angle PRQ is insidethe triangle. All the angles of a triangle add up to 180°
33° + 51° + R = 180°
84° + R = 180°
R = 96°
Answer:
31 sq m
Step-by-step explanation:
Answer:
See below
Step-by-step explanation:
9 and 8.4 are less than 1 apart, so 9-8.4 must be less than 1. The actual difference is 9-8.4=0.6 which verifies that our answers are true since 0.6<1.
Answer:
Option B is right
Step-by-step explanation:
Given that in the graduating class of a certain college, 48 percent of the students are male and 52 percent are female. In this class 40 percent of the male and 20 percent of the female students are 25 years old or older.
Males Females
48% 52%
25 or more
age 40% 20%
One student in the class is randomly selected,
to find the probability that he or she will be less than 25 years old
= Prob (male and less than 25 years old)+Prob (female and less than 25 years old)
(since mutually exclusive and exhaustive)
= 
After rounding off to 1 one decimal
we get 0.7
Option B is right
Answer: 10
Step-by-step explanation:
Given : The American Lung Association stated that approximately 1 out of every 20 deaths in the US last year was from lung cancer.
Then, the proportion of death will be :_

Now, If there are 200 students in a class, then the expected number of persons die from lung cancer :-

Hence, we expect the number of persons die from lung cancer =10