Answer:
angle 1= 104 angle 2= 76
Step-by-step explanation:
angle 1 equals x+66 and angle 2 equals 2x so you set up an equation where they are the sum of 180 degrees because the angles are supplementry angles.
x+66+2x=180 set the sum of the angles to 180
3x+66=180 combind like terms
3x=144 subract 66 from both sides
x=38 divide 3 from both sides
Now you put x back into the measurments
angle 1= (x+66) angle 2= 2x
(38+66) 2×38
angle 1= 104 angle 2= 76
Or after you know angle 1 you can subtract angle 1 from 180 to get angle 2.
Answer:
7a. D)
7b. $78
Step-by-step explanation:
7a: We're given the information that there's a daily fee of $50 and $0.35 per mile driven, which is m. We can write "$0.35 per mile driven" as 0.35m. Then, the total amount of money it costs represented as an expression is 50 + 0.35m, thus, making it answer D).
7b: In this problem, we have to take our previous expression 50 + 0.35m, plug in the value of m, and simplify.
Thus, the answer is $78.
Have a lovely rest of your day/night, and good luck with your assignments! ♡
The dimensions that would result to maximum area will be found as follows:
let the length be x, the width will be 32-x
thus the area will be given by:
P(x)=x(32-x)=32x-x²
At maximum area:
dP'(x)=0
from the expression:
P'(x)=32-2x=0
solving for x
32=2x
x=16 inches
thus the dimensions that will result in maximum are is length=16 inches and width=16 inches
Answer:
32
Step-by-step explanation:
2 * (5 + 8 + 3) = 2 * 16 = 32
