Answer:
So x = 20
Step-by-step explanation:
AB + BC = AC sum of a segment is sum of its pieces
AB + AB = AC B is the midpoint, so AB = BC
2x + 2x = 3x + 20 putting in for AB (twice!) and AC
4x = 3x + 20 collect like terms
x = 20 subtract 3x on both sides.
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Answer: THIRD OPTION.
Step-by-step explanation:
For this exercise you need to use the formula for calculate the distance between two points. This is:

Given the following points:
and 
You can identify that:

Knowing these values, the next step is to substitute them into the equation for calculate the distance between two points and then evaluate.
Therefore, the distance between
and
is:

12.826+2.93= 15.756
Since you have to round it, your final answer would be 15.8
6 years
A parent increases a child’s monthly allowance by 20% each year. If the allowance is $8 per month now. This is an exponential function, An exponential function is given by:
Let x be the number of years and y be the allowance. The initial allowance is $8, this means at x = 0, y = 8
Since it increases by 20% each year, i.e 100% + 20% = 1 + 0.2 = 1.2. This means that b = 1.2
Therefore:
To find the number of years will it take to reach $20 per month, we substitute y = 20 and find x
x = 6 years to the nearest year
Answer:
45.6 cm
Step-by-step explanation:
Let X be the hypotenuse.
(36)^2 + (28)^2 = X^2
X = 45.6 cm