The lengths of AC and AB are each 10.6 units.
<u>Step-by-step explanation</u>:
Perimeter of a triangle = Sum of all the three sides of a triangle
- Perimeter = 3a
- where, a is the length of the each sides of a triangle.
⇒ 32 = 3a
⇒ a = 32/3
⇒ a = 10.6
The standard formula of a point-slope equation is (y-y1) = m(x-x1). So, we would arrange the final equation in this way as much as possible. Let y be the total amount her receives and x be the number of miles. That would be
y = 200 + 20x
y = 20 (10 + x)
That would be the equation. If he finishes the walk,
y = 20 (10+5)
y = $300
he would receive a total of $300.
The value of x is 5, if a, b, and c are collinear points.
According to the given question.
a, b, and c are collinear points.
Which means points a, b, and c both lie in a same line.
b is between a nd c .
Also, ab = 12
bc = 5x - 2
and ac = 3x + 20
Since, b lies in between a and c
Therefore,
ab + bc = ac
12 + 5x - 2 = 3x + 20
⇒ 10 + 5x = 3x + 20
⇒ 5x - 3x = 20 - 10
⇒ 2x = 10
⇒ x = 10/ 2
⇒ x = 5
Therefore, the value of x is 5.
Find out more information about collinear points here:
brainly.com/question/5191807
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