The measures of two angles in a linear pair add to 180 deg.
m<1 + m<2 = 180
2x + 20 + 48x = 180
50x + 20 = 180
50x = 160
x = 3.2
m<1 = 2x + 20 = 2(3.2) + 20 = 6.4 + 20 = 26.4
m<2 = 48x = 48(3.2) = 153.6
Answer: m<1 = 26.4 deg; m<2 = 153.6 deg
Step-by-step explanation:
Length of the diagonal of the base (pythogorus theorem)
= sqrt(13^2 + 7.5^2)
= sqrt(169+56.25)
= sqrt(225.25)
= 15.01 in
But the drumsticks are 15.25 in long. So, they cannot lie flat on the diagonal along the base of the box.
Answer:
B. -7 + 8n
Step-by-step explanation:
-3.5(2 + -3n) + -2.5n = 0
(2 * -3.5 + -3n * -3.5) + -2.5n = 0
(-7 + 10.5n) + -2.5n = 0
0.5n + -2.5n = 8n
-7 + 8n
X = to 2/3
6x = 3x+2
Subtract 3x in both sides
3x=2 divide 3 in both sides and you get
X = 2/3
Answer:
length = 4 feet, and width = 2 feet
Step-by-step explanation:
Given that 12 feet of the frame material is available for the rectangular part of Norman's window. Then,
Perimeter = 2 (length + width)
Perimeter of the frame = 12 feet
So that,
Perimeter = 2 (length + width)
12 = 2 (length + width)
length + width =
length + width = 6 feet
Therefore, to allow much light as possible, the dimensions of the window would be; length = 4 feet, and width = 2 feet.