Write a system of equations to describe the situation below, solve using substitution, and fill in the blanks.

zane and his little brother made up a game using coins. they flip the coins towards a cup and receive points for everyone that makes it in. zane starts with 20 points, and his little brother starts with 17 points. zane gets 1 point for every successful shot, and his brother, since he is younger, gets 4 points for each successful shot. eventually, the brothers will have a tied score in the game. how many points will they both have? how many additional shots will each brother have made?

21 points, 1 shot

Step-by-step explanation:

Zane : 20 + x

Lil Bro: 17 + 4x

set these equal to each other to find the shots

20 + x = 17 + 4x

3x = 3, x = 1

plug 1 in for x to find how many points

20 + 1 = 21

< 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)

12.4, 12.387, 12.26, 12.252, 6.241, 6.2, 6.015, 6.009, 1.411, 1.2, 1.056, 1.007, 0.31,   0.13, 0.5, 0.04

step-by-step explanation:

ur welcome : )