Answer:
1.5
Step-by-step explanation:
Because the triangle are similar, they possess a proportional relationship in which the one triangle's side length is dilated by a unknown factor (y) to make its corresponding counterpart. Using this knowledge we can make the following two equations
3y=7 & xy=x+2 y is the variable representing the dilation factor
y=7/3 find the value of y
x(7/3)=x+2 substitute the value y into the equation
7/3x =x+2 solve for x
4/3x =2
(3/4)(4/3x)=2(3/4) multiply by the reciprocal
x=1.5
Before we calculate we can use some common sence thinknig to narrow down the choices. We know that Robert is gonig DOWN the hill, so it doesnt make sence that he woudl have a positive rate of change (i.e. the number feet up the hill he is is decreasing, not increasing) So right away, A & B are clearly wrong.
If we look at the last two (C & D) we can see that if -460 were right after 10 minutes he would have walked down 4,600 feet. This is WAY more that the total height of the hill and so can't be correct.
So C must be correct.
We can check this with some simple math:
Answer:
21x+35160
Step-by-step explanation:
(Amount)(time)+(starting total)total
(21)(x)+(35)160
21x+35160
Answer:
Area = 200 + 50 + x
Step-by-step explanation:
Given
Length = 20
Width = 30
Side Walk = x
Required
Determine the area.
To do this we need to get the new worth and length by adding the length of the sidewalk.
This gives:
Length = 20 + x.
Width = 30 + x
So, area becomes.
Area = (20 + x)(30 + x)
Area = 600 + 20x + 30x + x²
Area = 200 + 50 + x²
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