Amodel of a baseball diamond is a square
with a perimeter of 36 in. what is the length
on the model from first base to third base?
(round to the nearest whole number)

Okay. So let’s break this down. We can solve this problem without a picture because it is a square. Therefore, all sides are the same. There are also four sides on a square. I have two ways to solve this problem.

One:
Divide 36 by 4 to know what each side is. 36/4 is 9. Since we are running from first to third, that is two sections of the field. Half of it. We would multiply 9 by 2. We get 18.

Two:
We know that from first to third is half the field. So we can do 36/0.5. This way, get 18

18 inches

< 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)

Iwould say this is false, because the mean and median are similar, though the mode is way different. but it might be true depending how you like at it. sorry if i'm being confusing : )