Answer:
number of dimes is 8
number of quarters is 15
Step-by-step explanation:
let 'd' = number of dimes
let 'd+7' = number of quarters
.10d + .25(d + 7) = 4.55
.10d + .25d + 1.75 = 4.55
.35d = 2.80
d = 8
q = 7 + 8
<span>C. No, because although the results differ among the four surveys, the sample method used for all was the same. Luc RANDOMLY selects 40 students in every survey. Random selection in surveys do not create bias and the results are highly credible. This is because there are no preconceived notions or factors that affect the responses of people being surveyed.</span>
The answer is 5. Measure r and t are congruent. Measure r is 20 so measure t is also 20. So by dividing 20 by 4 you get 5.
Answer:
By definition, angles A and 1 are corresponding angles and angles B and 1 are consecutive angles. By the corresponding angles postulate, angles A and 1 are congruent, and by the consecutive angles theorem, angles B and 1 are supplementary. By the definition of supplementary angles, measures of angle B and 1 add up to 180 degrees (m<B + m<1 = 180). By definition of congruent angles, angles A and 1 have same measurement (m<A = m<1). By substitution property of equality, measures of angles A and B add up to 180 degrees (m<A + m<B = 180). By definition of supplementary angles, angles A and B are supplementary.