9514 1404 393
Answer:
b = √32
Step-by-step explanation:
The Pythagorean theorem tells you the relation between the side lengths is ...
2² + b² = 6²
b² = 36 -4 = 32
b = √32
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<em>Additional comment</em>
This radical can be simplified by removing a square from under the radical.

Answer:
x=28
Step-by-step explanation:
vertical angles are congruent
3x-12=72
3x=84
x=28
If you want to solve for x, then
add 2y to both sides
x=2y+4
if want to solve for y
minus x both sides and divide by -2
x-2y=4
-2y=-x+4
y=1/2x-2
Use the Pythagorean theorem. The equation for this right triangle would be a^2+b^2=c^2. Since you have one leg and the hypotenuse, you can plug these into the equation. It would be 7^2+b^2=12^2. Do the exponents. You will get 49+b^2=144. You need to get b by itself so subtract each side by 49. You get the equation b^2=95. Square root each side to get b=9.746. This rounds to 9.7. So the answer is A. Hope this helps! ;)
The first option :
Multiply the first equation by 8 and the second equation by 2
would not result in the elimination of the variables in this system