Morgan bought 6 candy bars for a total of
$774. how much did he spend per candy
bars

129$

Step-by-step explanation:

774 / 6 = 129$

It's easiest to divide. If you don't have access to a calculator, you can find the answer in your head by breaking down the problem.

You know that 6 * 100 will give you 600... so we know its more than 100. We'd have 174 remaining to account for.

174 / 6 is 29. Add that 100 to the 29 and we get 129.

Mental math is gained through experience, so keep going at it and you'll get there.

Those are some expensive candy bars...

< 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)