X + y = 90
Let's make 'x' the bigger angle and 'y' the smaller.
X is 24 more than twice y.
x = 24 + 2y
Now plug that into the x of the first equation.
(24 + 2y) + y = 90
Combine like terms.
24 + 3y = 90
Subtract 24 from both sides.
3y = 66
Divide both sides by 3.
y = 22
The measure of the smaller angle is 22°
Answer:
Assuming she is dividing into 1/2 lb blocks.
15 of the 1/2 lb are given to the class.
Step-by-step explanation:
She can make 22 of the 1/2 lb blocks out of 11 lbs. If she sets aside 7, then 22-7=15. She has 15 of the 1/2lb blocks left to give to the class.
The dimensions of the rectangle would be (6-2) x (7-0) = 4 x 7
That makes the area (4)(7) = 28.
That makes the perimeter (7+4)(2) = 22
That makes the diagonal sqrt((7^2)+(4^2)) = sqrt(49+16) = sqrt(65)
