Answer:
x =21
Step-by-step explanation:
So we know that:
And that the two angles are vertical angles.
Since they are vertical angles, their measurements are equivalent. Thus, to find x, set the equations equal to each other:
Now, solve for x. Add 30 to both sides. The left side cancels:
Now, subtract 2x from both sides. The right cancels:
Thus, the value of x is 21.
Step-by-step explanation:
We have

First, 125 is a perfect cube because

and
x^3 is a perfect cube because

so we can use the difference of cubes identity

Let say we have two perfect cubes:
64 because 8×8×8=64
and 27 because 3×3×3=27 and let subtract

we know that

but using the difference of cubes identity we should get the same thing.
Remeber cube root of 64 is 4 and cube root of 27 is 3 so we have


So the difference of cubes works for real numbers. This is a good way to help remeber the identity using real numbers.
Back on to the topic,
we know that 5 is cube root of 125 and x is the cube root of x^3 so we have


Answer:
(x-5)²+(y-7)²=80
Step-by-step explanation:
Answer:
true
Step-by-step explanation: