(7x -7) + (6x +6) = 90
take away the parenthesis: 7x - 7 + 6x + 6 = 90
combine like terms: 13x - 1 = 90
add 1 to both sides: 13x = 91
divide both sides by 13: <span>x = 7.
Now: substitute x = 7 into the angles: the first angle is 42 degrees, the second angle is 48 degrees</span>
If the pentagon is rotated 360° about the origin, that means the new figure will be exactly in the same position as the original image, because a rotation of 360° about the origin doesn't change the figure position or orientation.
So, if the vertex was located at (10, -8), the new figure will also have a vertex located at (10, -8).
Therefore the correct option is the fourth one.
Answer:
-30
Step-by-step explanation:
-x/10 = 3
-x = 3 * 10 (transposing)
-x = 30
x = -30
Answer:
D
Step-by-step explanation:
Use the distributive property.
8x3 + 20x2 + 20x for 4x's distribution.
-6x2 - 15x - 15 for -3's distribution.
Add these together, and add/subtract like terms. You're left with 8x3 + 14x2 + 5x - 15.
Answer:
x=2
Step-by-step explanation:
x + 4 = 3(3x - 4)
Distribute
x+4 = 9x -12
Subtract x from each side
x+4 -x = 9x-x-12
4 = 8x-12
Add 12 to each side
4+12 = 8x-12+12
16 = 8x
Divide by 8
16/8 = 8x/8
2 =x
