9514 1404 393
Answer:
4^4·6^5·7^7 = 1,639,390,814,208
Step-by-step explanation:
Taking the cube root multiplies each exponent by 1/3.
((4^12)(6^15)(7^21))^(1/3) = (4^(12/3))·(6^(15/3))·(7^(21/3)) = (4^4)(6^5)(7^7)
The two labeled angles are alternate interior angles, and as such, they are the same.
From this result you can build the equation

and solve it for x: subtract 13x from both sides to get

and add 2 to both sides to get

Check: if we plug the value we found we have

So the angles are actually the same, as requested.
Answer: -6
Step-by-step explanation:
-x-1=5
-x=5+1
-x=6
divide both sides by -1
x=-6