Asurvey asked 5,000 day cares across the country for their ratio of teachers to students. three thousand day cares responded that the ratio of teachers to students is greater than one to five.

which conclusion can be made about the population from this survey?
a.
most day cares have a teacher-to-student ratio greater than 1: 5.
b.
one-third of day cares have a teacher-to-student ratio of 1: 5.
c.
most day cares have a teacher-to-student ratio of 1: 5.
d.
sixty percent of day cares have a teacher-to-student ratio less than 1: 5.

the answer is c. 23/3

ratio is 2 : 9

the answer is three

13.5 : 3

< 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)