In order to make things easier for Mrs. Wiggens, fill in the chart a candy bar for a
a How many candy bars will she need for two students: 13
b How many candy bars will she need for four students
3
с
40
3 13
39 43 53
will know how many candy bars she might need.
Number of
12
Candy Bars
4
Number of
1 2 3 4
Students
5
6
7
92
Number of
Candy Bars
Number of
68 73 82
13
11
12
14
15
9
-10
tuada

step-by-step explanation:

let pq = qr = rs = x, and xz = y and zu = z.

if the horizontal lines are parallel, then corresponding segments are in proportion:

substitute:

therefore 3 = y = z.

xu = y + z → xu = 3 + 3 = 6

part a: triangles gcb and epb

part b. sides cg and rp are parallel by definition of parallelogram.

angles cgb and e are congruent by being alternate interior angles of parallel lines cut by a transversal. angles gbc and ebp are congruent because they are vertical angles. by aa similarity, the triangles are similar.

part c. since the triangles are similar, the ratios of the lengths of corresponding sides are equal.

calculation of be:

gb/be = cb/bp

(400 ft)/be = 300/200

(400 ft)/be = 3/2

3be = 2 * 400 ft

3be = 800 ft

be = 800/3 ft

calculation of pe:

gc/pe = cb/bp

(350 ft)/pe = 300/200

(350 ft)/pe = 3/2

3pe = 2 * 350 ft

3pe = 700 ft

pe = 700/3 ft

the answer is x=45 because i said so