At a small college: 31 female seniors were on the dean's list, 62 women were on the dean's list who were not seniors, 45 male seniors were on the dean's list, 87 female seniors were not on the dean's list, 96 male seniors were not on the dean's list, 275 women were not senior and were not on the dean's list, 88 men were on the dean's list who were not seniors, 227 men were not seniors and were not on the dean's list.
a) how many were seniors?
b) how many were women?
c) how many were seniors on the dean's list?
d) how many were on the dean's list?
e) how many were female seniors?
f) how many were women on the dean's list?
g) how many were students at the college?

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

step-by-step explanation:

given   that triangle lno is congruent to triangle lnm.

we have to fill up the blanks in the given question.

according to above order of congruency   kept in mind we can say that

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

ln ≅ ln due to common in both.

hence, by sas congruency,

the side angle side rule   states that if two sides and the included angle of one triangle are congruent to another triangle, then these two triangles are congruent.

answer: 94

step-by-step explanation: 79+91+92+94+94 = 450 divided by 5 (since there are 5 number that are being added) = 90

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.

ask the math teacher she or he would know lol.

step-by-step explanation: