If segment AB is perpendicular to segment CD, then a right angle (90°) is formed.
7x + 27 = 90
7x = 63
x = 9
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So there are five candy bars.
Herself and two sisters equals 3 people in total.
This is a graph of 5 candy bars, each line being 1/2.
━ ━
━ ━
━ ━
━ ━
━ ━
If she ate half of one... the graph would become this.
━ ━
━ ━
━ ━
━ ━
━
Now there are 9 halves. You need to split the 9 halves for 3 people. 9 divided by 3 is 3.
Each person gets 3 halves, or 1 and 1 half.
Mai: ━ ━ ━
Sister 1: ━ ━ ━
Sister 2: ━ ━ ━
Altogether that is 9 halves, AKA the number of halves Mai had after she ate 1/2.
The amount Mai ate in the first place: ━
9 halves plus 1 half, equals 10 halves. Each whole has 2 halves. 10 divided by 2 is 5, AKA the number of candy bars she had in the first place.
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First we rewrite the table:
20 30
50 75
80 120
150 ?
We observe that for each 30 number of hops, the distance increases by 45 feet.
We must find the slope of the line:
m = (y2-y1) / (x2-x1)
m = (75-30) / (50-20)
m = 1.5
Then, the line is:
y = 1.5x
We substitute x = 150
y = 1.5 * (150)
y = 225
Answer:
Find the ratio of hops to distance traveled (1: 1.5), then multiply 150 by 1.5.
