Answer:
E = 58
F = 32
G = 90
Step-by-step explanation:
3x + 31 + 5x -13 + 90 = 180
3x + 31 + 5x -13 = 90
8x = 90 - 31 + 13
8x = 72
x = 72 / 8
x = 9
E = 3(9) + 31 = 27+31 = 58
F = 5(9)-13 = 45 - 13 = 32
G = 90
Option b: 10 in, 18.5 in, 31.5 in.
Explanation:
The three sides of a triangle are
and 
The perimeter of the triangle is
.
Since, Perimeter = all sides of the triangle
Let us add all the three sides to determine the length of each side.

Substituting the value of Perimeter and simplifying, we get,

Substituting
in the three sides of the triangle
and
, we get,



Thus, the lengths of each side are 10 in, 18.5 in, 31.5 in.
Answer:
Alternate interior
Answer:
It moves horizontally 1/2 units to the left
It moves vertically 2 units up
Step-by-step explanation:
∵ y = Acos(Bx - C) + D
∵ y = 2 - 3cos(2x + 1)
∴ The phrase of shift:
∵ The horizontally shift is -C/B = - 1/2 = -1/2
∴ It moves 1/2 units to the left
∵ The vertically shift is D
∴ It moves 2 units up
Answer:
6 part.......................bcoz 72/12 = 6