Answer:
x = 60
Step-by-step explanation:
Recall: one of the properties of a parallelogram is that consecutive angles are supplementary. This means they add up to given 180°
2x and x are consecutive angles. Therefore:
2x + x = 180
3x = 180
Divide both sides by 3
3x/3 = 180/3
x = 60
Answer:
C 2
Step-by-step explanation:
This is a parabolic function
Notice how we go negative and then positive
y = ax^2 +bx+c
Let x = 0
-5 = a(0) + b(0) +c
c = -5
y = ax^2 + bx -5
Let x = 3
4 = a(3)^2 +b(3) -5
Let x=-3
4 = a(3)^2 -b(3) -5
Add the two equations
4 = a(3)^2 +b(3) -5
4 = a(3)^2 -b(3) -5
----------------------------
8 = 2a (3)^2 - 10
18 = 2 a(9)
18 = 18a
a =1
Solving for b
4 = 1(3)^2 -b(3) -5
4 = 9 -3b -5
4 = 4 -3b
0 = -3b
0 =b
The equation is
y = (x)^2 -5
Letting y = -1
-1 =x^2 -5
Adding 5 to each side
4 = x^2
Taking the square root of each side
±2 = x
x= ±2
Given the choices
Answer: (3x+2)(x+3)
Step-by-step explanation: Factor by grouping.
I hope this helps you out.
Answer:
Step-by-step explanation:
1. add the side lengths

Answer:
x=11
Step-by-step explanation:
Add 7 to both sides
-3x+5x=22
combine like terms(-3x and 5x)
2x=22
divide by 2
x=11