Find the midpoint of the segment with the following endpoint (9,2) and (5,5)

(7, 3.5)

Step-by-step explanation:

find the distances between the x and y

9 and 5 are 4 apart, and 2 and 5 are 3 apart

divide those distances by 2

4/2 = 2, 3/2 = 1.5

add those distances to the smaller of the x and y

5 + 2 = 7, 2 + 1.5 = 3.5

those two numbers are the midpoint (7,  3.5)

total of apples - take away four

6-4 = 2

answer is 2 apples

< 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)