Study the road plan shown in the figure. A service station will be built on the highway, and a road will connect it with Cray. H
ow long will the new road be?
A.180 mi
B.120 mi
C.240 mi
D.300 mi
A.180 mi
B.120 mi
C.240 mi
D.300 mi
2 answers:
Answer: C.240 mi
Step-by-step explanation:
In the given picture, Let ABC be the bigger triangle and BDC be the smaller triangle.
Then, In ΔABC and ΔBDC
∠C=∠C
∠D=∠B =90°
Therefore, ΔABC ≈ ΔBDC [By AA similarity rule]
We know that the sides of similar triangles are proportional, then
Hence, The length of new road = 240 mi
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The dependent variable is the variable that depends on the value of other variable and keeps on changes with change in the value of one variable. The values given in the table 3 matches the equation and includes the viable solutions.
<h3>Given information-</h3>The number of loaves of bread purchased and the total cost of the bread in dollars can be modeled by the equation,
The quantity of the bread depends on the quantity of the loaves.
<h3>Dependent variable</h3>The dependent variable is the variable that depends on the value of other variable and keeps on changes with change in the value of one variable.
Lets check which table satisfy the above equation.
Table 1-
In the table the first values of the bread and the loves is -2 and -7. The quantity of a bread and loves can not be negative. Thus the table 1 does not provides the viable solution.
Table 2-
In the table 2 the value of the third row is 1.5 loaves and 5.25 breads. Check this by the given equation. When the value of loaves is 1.5 then the value of the bread is,
The value of bread must be 4.5. Thus the table 2 does not provides the viable solutions.
Table 3-
Put the values of the loaves in the given equation one by one,
When the value of loaves is 0 then the value of the bread is,
When the value of loaves is 3 then the value of the bread is,
When the value of loaves is 6 then the value of the bread is,
When the value of loaves is 9 then the value of the bread is,
All the values of the table 3 satisfies the given equation.
Hence, the values given in the table 3 matches the equation and includes the viable solutions.
Learn more about the dependent variables here;