Translate the sentence into an equation using n as the unknown number. then solve the equation for n
two times a number increased by 5 is 15.
a.
2n(5) = 15
n = 1.5
c.
2n + 5 = 15
n = 20
b.
2n + 5=15
n = 5
d.
n + 5 = 15
n = 10

The correct answer is b.

2n + 5=15

n = 5

This is because when you put the word problem into a numerical equation, you get 2n+5=15.  To simplify this, you subtract 5 from both sides, resulting in 2n=10.  Then you divide both sides by 2, and you get n=5.

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< xcy ≅ < xby

step-by-step explanation:

in δcax and δbax,

ac ≅ ab (given)< cax ≅ < bax   (given)ax ≅ ax (common side)

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

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

in δacy and δaby,

ac ≅ ab (given)< cay ≅ < bay (since < cax ≅ < bax is given and xy is the extension of line ax)ay ≅ ay (common side)

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)