Answer:
5n + 25q = 200 - - - (1)
n = 5q - - - (2)
q = 40
n = 5(40) = 200
Step-by-step explanation:
Number of Nickels = n
Number of Quarters = q
$2.00 = $2 * 100 = 200 cent
Nickel = 5 cent
Quarter = 25 cent
5n + 25q = 200 - - - (1)
n = 5q - - - (2)
5(5q) + 25q = 200
25q + 25q = 200
50q = 200
q = 200/5
q = 40
n = 5(40) = 200
100 x 0.4 = 40. So 40 students listen to hip hop
Answer:
3) 16.2
Step-by-step explanation:
The supplement to the 115° angle on the right is 65°, the same as the angle at upper left. The vertical angles at C are the same measure, so this tells you that the two triangles FCB and ACD are similar by the AA similarity postulate. That being the case, corresponding sides are proportional:
CB/CD = CF/CA
CB = CD·CF/CA = 7.2·21.6/9.6
CB = 16.2
_____
When given two "point-to-point" triangles like this, quite often there is some sort of similarity relationship involved. First, you need to figure out what it is; then you need to make use of it as needed to answer the question being asked.
Answer:
Read below
Step-by-step explanation:
I don't understand the answer choices, but supplementary angles add up to 180°. It looks like the third option is correct.