Baird and lon earned points for the number of books and magazines they read over the summer. the average of the two boys’ points can be expressed as , where p represents the number of points earned per book. (5.4p+5) + (8+3.2p)/2 what is the average when p = 3?

The average is 19.4

Step-by-step explanation:

(5.4p+5) + (8+3.2p)/2

where p = 3 which means whenever you see p, represent it with 3

{(5.4(3)+5) + (8+3.2(3)}/2

(16.2 + 5) + (8 + 9.6)/2

combine within the bracket

(21.2) + (17.6)/2

combine both bracket

38.8/2

19.4

The average is 19.4

Hope this helps!

< 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)