Use the figure shown to complete each of the following questions.
1. ∠qtr and are complementary.
a. ∠qts
b. ∠rts
c. ∠ptn
d. ∠qt
2. ∠qtn and are supplementary.
a. ∠qts
b. ∠qtp
c. ∠rts
d. ∠ptr
3. if ∠ptq measures 29°, then ptn measures
a. 51º
b. 45º
c. 61º
d. 71º
4. if ∠ntr measures 148°, then ∠rts measures
a. 12º
b. 32º
c. 22º
d. 42º
5. ∠ptn is adjacent to
a. ∠qtr
b. ∠pts
c. ∠rts
d. ∠nts

The ivring berlin learning center would like a possible net profit of $650,000 on its new resource manual it sells to schools. the fixed costs for producing the manual are $780,000 and the variable cost per package is $19.85. if the estimated unit sales are 1,250,000 units, what selling price unit should the ivring berlin learning center try?

Exclude leap years from the following calculations. (a) compute the probability that a randomly selected person does not have a birthday on october 4. (type an integer or a decimal rounded to three decimal places as needed.) (b) compute the probability that a randomly selected person does not have a birthday on the 1st day of a month. (type an integer or a decimal rounded to three decimal places as needed.) (c) compute the probability that a randomly selected person does not have a birthday on the 30th day of a month. (type an integer or a decimal rounded to three decimal places as needed.) (d) compute the probability that a randomly selected person was not born in january. (type an integer or a decimal rounded to three decimal places as needed.)

The quotient of 15 and a number is 1 over 3 written as an equation