Answer:
D. p + q = 7
Step-by-step explanation:
The slope of AB is ...
mAB = (y2 -y1)/(x2 -x1) = (1 -4)/(6 -p) = -3/(6 -p)
The slope of BC is ...
mBC = (q -1)/(9 -6) = (q -1)/3
We want the product of these slopes to be -1:
mAB·mBC = -1 = (-3/(6 -p))·((q -1)/3)
-(q-1)/(6 -p) = -1 . . . . cancel factors of 3
q -1 = 6 -p . . . . . multiply by -(6 -p)
q + p = 7 . . . . . matches choice D
Step-by-step explanation:
24% of 800 ➡ 800 ÷ 100 × 24 = 192
75% of 1000 ➡ 1000 ÷ 100 × 75 = 750
Answer:
Nina practiced the viola for 11.25 hours last week.
Step-by-step explanation:
Juan practiced the violin for 9 hours last week. For each 3 hours that he practices the violin, he practices 2.5 hours of cello. So
3h violin - 2.5h cello
9h violin - xh cello


He practiced 7.5 hours of cello, the same as Nina.
For every 3 hours Nina spends practicing the viola she practices the cello for 2 hours. So:
3h viola - 2h cello
xh viola - 7.5h cello



Nina practiced the viola for 11.25 hours last week.
Answer: x = 92, y = -119
Step-by-step explanation:
Opposite sides of a parallelogram are equal.
x + 6 = 98
x = 92
127 = -y + 8
-y = 119
y = -119
Two equilateral triangles, but one has sides measuring 3 cm, while the other measures 6 cm. The figures are similar, but not congruent