9 pencils cost $7.74.Which equation would help determine the cost of 6 pencils?

The equation is x= (7.74 /9) 6  

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

If 9 pencils cost $7.74, we have to divide the total cost ($7.74) by the number of pencils (9) to obtain the price of 1 pencil.

Now that we have the price of 1 pencil, to obtain the cost of 6 of them we simply multiply the result by six.

Mathematically speaking:

x= (7.74 /9) 6  

Where:

x = Cost of 6 pencils in $

Solving:

x = 0.86 x 6 = $5.16

< 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)