Direct variation means that changes in x will result to changes in y. If x increase, y also increases and vice versa.
y = kx
k = y / x
y = 45 ; x = 40
k = 45/40
k = 1.125
y = 1.125x
y will increase by 1.125 interval of x.
Answer:
Base = 1.5 ft
Step-by-step explanation:
Area = ½ × base × height
9/16 = ½ × base × 3/4
9/16 = 3/8 × base
base = 9/16 × 8/3
base = 3/2
base = 1½ ft
Answer:
There are infinity equivalent fractions to 3/9
Step-by-step explanation:
1 /3, 2 /6, 3/ 9, 4 /12, 5/ 15, 6 /18, 7/ 21, 8/ 24, 9 /27, 10/ 30, 11/ 33, 12/ 36, 13/ 39, 14 /42, 15 /45..........
A line segment from a vertex to the midpoint of the opposite side is a "median". A median divides the area of the triangle in half, as it divides the base in half without changing the altitude.
AAMC is half AABC. AADC is half AAMC, so is 1/4 of AABC. (By the formula for area of a triangle.)
ABMC is half AABC. ABMD is half ABMC, so is 1/4 of AABC. (By the formula for area of a triangle.)
Then, AADC = 1/4 AABC = ABMC, so AADC = ABMC by the transitive property of equality.
