Before deciding whether to fly or drive, the family decided to estimate a budget of $1,400 $
1,400
for airfare. One airline has several different airfares and charges $25
$
25
round-trip for each bag that is checked. Since there are 4
4
members of the family and each person would check 1
1
bag, Luis wrote the equation 4(t+25)=1,400
4
(
t
+
25
)
=
1,400
to find the maximum cost per ticket, t,
t
,
that will fit their budget.

What is the maximum cost per ticket that will be in their budget?

Given: abcd is a square. prove: ac ? bd. we are given that abcd is a square. if we consider triangle aeb and triangle aed, we see that side is congruent to side ad because sides of a square are congruent. we know that side ae is congruent to side ae by using the . finally, we know that side de is congruent to side because the diagonals of a square bisect each other. therefore, triangle aeb is congruent to triangle aed by congruency. we see that angle aed and angle aeb are a linear pair, and congruent by cpctc. thus, the measure of these angles will be 90°, and diagonal ac is perpendicular to diagonal bd by the .