9) answer is Hypotenuse
10) opposite
When you foil it out you should get: 2x^5-2x^3-12x. When you factor it out completely you get: 2x(x^2-3)(x^2+2)
Answer is
0.8(2x-6)
Step-by-step explanation:
0.8x2x=1.6x
0.8x-6 = -4.8
Answer: The fraction 301/900
Note: I'm assuming the 4's continue on forever
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Work Shown:
I'm going to assume that the 4s go on forever. I'll represent this with three dots after the last 4 like so
0.334444...
Now let x = 0.334444...
Multiply both sides by 100
x = 0.334444...
100x = 100*(0.334444...)
100x = 33.444444...
And repeat with 1000
x = 0.334444...
1000x = 1000*(0.334444...)
1000x = 334.444444...
Then subtract and solve for x. Notice how the decimal parts line up and cancel
1000x-100x = (334.444444...) - (33.444444...)
1000x-100x = (334+0.444444...) - (33+0.444444...)
1000x-100x = 334+0.444444... - 33 - 0.444444...
1000x-100x = (334-33)+(0.444444... - 0.444444...)
900x = 334 - 33
900x = 301
x = 301/900
Given:
EFGH is a square.
To find:
The
.
Solution:
We know that all interior angles of a square are right angles.
(Right angle)
The diagonals of square are always the angle bisectors.
FH is a diagonal of the square. So, it bisects the angle EHG.



Therefore, the measure of angle FHG is 45 degrees.