This is a graph of y<2x+5 what is true about point A on the graph

"Point A is a solution because it is in the shaded area

Step-by-step explanation:

When we have an inequality like the one shown in the graph, the shaded area represents the possible solutions to the inequality.

If we have a dashed line, then the points in the line are not solutions (this is the case of the symbols > and < )

If the line is solid, then the points of the line are solutions (this is the case of the symbols ≤ and ≥)

In the graph we can see that point A is inside the shaded area, then point A is a solution.

Then the correct option is:

"Point A is a solution because it is in the shaded area"

< 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)