Since it tells you it's a parallelogram you know that opposite sides are parallel.
The other piece of information we are given is a pair of consecutive congruent sides. If these sides are congruent the other sides must also be congruent.
Letter B is the answer
Answer:
7
Step-by-step explanation:
Set up a proportion
12 cookies / 2 cups = 42 cookies / x Notice that cookies are on the top and cups are on the bottom of each proportion.
12/2 = 42/x Cross multiply
12x = 84 Divide by 12
x = 84/12
x = 7
He will need 7 cups to make 42 cookies.
Answer:
(0.4, -57.9)
Step-by-step explanation:
y = 3x³ + 12x² - 10x - 56
dy/dx = 9x² + 24x - 10 = 0
x = [-24 +/- sqrt(24² - 4(9)(-10))]/(2×9)
x = -3.033006505, 0.3663398379
d²y/dx² = 18x + 24
For minima, d²y/dx² > 0 which is at x = 0.3663398379
y = 3(0.3663398379)³ + 12(0.3663398379)² - 10(0.3663398379) - 56
y = -57.90544608
The probability is 3/6 (1/2) as there are 3 prime numbers on a dice (2,3,5) and also 3 odd numbers on a dice (1,3,5)
