Answer:
24; 118; 102
Step-by-step explanation:
Starting from A: there are two ways. One, is a theorem that says "the amplitude of the external angle of a triangle is equal to the sum of the amplitudes of the two angles not sharing the vertex". Which translates to the equation which has solution .
Problem B is a red herring: x and 118° are corresponding angles related to the two parallel lines with a transversal, and they have the same amplitude, thus
Finally, letter C : you know the sum of the internal angles of a triangle is 180°. It means that or, with simple calculations (subtract 41 and 37 from both sides)
We have given the 2 by 2 frequency table.
The probability that a randomly selected book is a nonfiction paperback =
(Number of nonfiction paperback books) / Total number of books
= 23 / 69
= 0.3333
The percentage of nonfiction paperback books is 33.33%
The steps are to first distribute the 1/3 into (x-9) and then to move the +6 on the left over to the right:
First distribute:
y + 6 = 1/3(x-9) becomes y + 6 = 1/3x-3
Now subtract 6 from both sides:
y = 1/3 x - 3 - 6
y = 1/3 x - 9
Answer: $1.28 = cost of 8 oranges
Step-by-step explanation:
$1.60 / 10 = cost of 1 orange
$0.16 = cost of 1 orange
$0.16 (8) = cost of 8 oranges
$1.28 = cost of 8 oranges