Simplify this expression. 6^7 ÷ 6^5
A.
30
B.
35
C.
36
D.
42

C

Step-by-step explanation:

If you would recall one of the laws of exponents, when dividing powers of the same base you subtract their exponents. So for this expression:

6⁷ ÷ 6⁵ = 6^(7-5) = 6² =36

good job you smart son of a gun you are smarter that einstein. 7

< xcy ≅ < xby

step-by-step explanation:

in δcax and δbax,

so, δcax ≅ δbax (side-angle-side or sas)

since δcax ≅ δbax, we can conclude < acx ≅ < abx

in δacy and δaby,

so, δacy ≅ δaby (side-angle-side or sas)

since δacy ≅ δaby, we can conclude < acy ≅ < aby

now,

< acy ≅ < aby

=> < acx + < xcy ≅ < abx + < xby

=> < acx + < xcy ≅ < acx + < xby   (since < acx ≅ < abx already proved above)

subtracting < acx from both sides, we get

< acx + < xcy -< acx ≅ < acx + < xby -< acx

cancelling out < acx and -< acx from both sides, we get

< xcy ≅ < xby (proved)