Mr. Marsh tells his class that he is thinking of two numbers and wants his students to guess the numbers. He gives them the following hints. The two numbers have a sum of zero. The two numbers have a distance of 2.5 units between them on the number line.

1.25 and - 1.25

Step-by-step explanation:

additive inverses: a number and its opposite have a sum of 0

x and y are opposite number, one positive and another negative

distance = 2.5 with midpoint "0"

x = 2.5/2 = 1.25

y = -1.25

the probability that a bird is green (.30) is true

step-by-step explanation:

< 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)