Which expression represents the phrase twice the sum of a number and three

2(x+3)

Step-by-step explanation:

Phrase: "twice the sum of a number and three"

Expression: To change the phrase into algebraic expression using variable.

"twice the sum of a number and three"

Let the number be x

Phrase: "sum of a number and three"

Phrase: twice the (x+3)

"twice the sum of a number and three" = 2(x+3)

Hence, The expression is 2(x+3)

< 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)