Answer:
1. 88 degrees
2. x=8
Step-by-step explanation:
1.
In a hexagon, all of the interior angles must add up to 720 degrees. Therefore:
x+125+120+95+120+172=720
x=88
2.
Since opposite sides of a parallelogram are equal:
2x=x+8
x=3x-16
Let's go with the first equation.
2x=x+8
Subtract x from both sides:
x=8
You can plug this into the second equation to ensure it works:
3(8)-16=8
24-16=8
8=8
Hope this helps!
Answer:
1e+35
Step-by-step explanation:
6x² + 12x = 0
6x(x + 2) = 0
1. 6x = 0
⇒ x = 0
2. x+2 = 0
⇒ x = -2
Solutions are: {0, -2}
Answer:
f(-7) = 34
Step-by-step explanation:
If f(x) = -5x - 1, then . . .
f(x) = -5x - 1
f(-7) = -5(-7) - 1
= 35 - 1
= 34
. . . because in f(-7), the (-7) is the x-value you're supposed to use to find the value of the function.
<span>42=-2d+6
Here, to find d, you need to separate it on one side.
First, subtract 6 from both sides.
42-6 = -2d + 6 - 6
36 = -2d
Now divide both sides by -2.
36/-2 = -2/-2d
-18 = d
The answer to this problem is -18, or d = -18.</span>
