Write and solve the equation and then check your answer. which statements are true about the equation and its solution? check
all that apply.
a number decreased by thirty-one is fifty-two.
the correct equation is n+31 - 52.
the correct equation is n-31 - 52.
to check the solution, substitute 83 for the variable in the equation.
to check the solution, substitute 21 for the variable in the equation
this is an addition problem.
this is a subtraction problem.
to solve the equation, subtract 31 from both sides.
to solve the equation, add 31 to both sides.

nlgqer

step-by-step

< 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)