m<ACB = 65°
m<BCD and m<ACB are supplementary
Sum of supplementary angles = 180
so
m<BCD = 180 - 65
m<BCD = 115
Answer
A. 115
1st serving: 2/3 * 1/2 = 2/6 or 1/3
2nd serving: 1/3 * 1/2 = 1/6
3rd serving: 1/6 * 1/2 = 1/12
4th serving: 1/12 * 1/2 = 1/24
5th serving: 1/24 * 1/2 = 1/48
1/3 + 1/6 + 1/12 + 1/24 + 1/48
1/3 * 16/16 = 16/48
1/6 * 8/8 = 8/48
1/12 * 4/4 = 4/48
1/24 * 2/2 = 2/48
1/48 * 1/1 = 1/48
16/48 + 8/48 + 4/48 + 2/48 + 1/48 = 31/48
Bobby ate 31/48 of the cake in total.
To find k, divide both sides by 1/4
K = 2/3 / 1/4
When dividing by a fraction flip the second fraction over then multiply:
K = 2/3 x 4/1 = (2 x 4) / (3 x 1) = 8/3
K = 8/3 = 2 and 2/3
Answer:
B. ) x² + 4x + 3
Step-by-step explanation:
(f-g)(x) = f(x) - g(x) =
(2x²-5) - (x²-4x-8) =
2x² - x² + 4x + 8 - 5 =
x² + 4x + 3
