Jim is older then Kelsey. The sun of their ages is 88 and the difference of their ages is 30. Write a system of equations to represent this situation. how old is Jim? How old is Kelsey?

System of equations •y+x=88 •y-x=30

Step-by-step explanation: Let x represent Jim and y represent Kelsey.

1. The problem says the sum of their ages is 88 in order to get 88 you would have to add x (Jim) and y (Kelsey) together. By doing this you would get y+x=88

2. The problem says that the difference of their ages is 30. In order to get 30 you would subtract x (Jim) from y (Kelsey) By doing this you would get y-x=30

900 degrees

step-by-step explanation:

< 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)