The record for the most rolls of wrapping paper sold for the school fundraiser is 593. Let w = the number of rolls of wrapping paper sold.

Choose Yes or No to tell if each inequality represents a number that would beat the school record.

w ≥ 593 (YES OR NO?)

w > 593 (YES OR NO?)

w ≤ 593 (YES OR NO?)

593 < w (YES OR NO?)

The record is 593.

To beat the record you need a greater number:

w > 593

Options:

w ≥ 593  NO, it includes 593 w > 593  YES   w ≤ 593  NO, it includes 593 and smaller numbers  593 < w  YES

< 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)

Ithink the answer is d