Answer: The missing length is 120 {option C}
Step-by-step explanation: What we have in the question is a triangle placed on top of another triangle and as shown in the attached diagram we can separate them into triangles BFC and GFH.
A close observation shows that line BC is parallel to line GH. Hence we have two similar triangles, and we can determine their similarity ratios as follows;
BF/FC = GF/FH
Similarly BF/BC = GF/GH
We can also express the following ratio
FC/FH = BC/GH
Therefore to calculate the missing side, which is GF, we can use the ratio
FC/FH = FB/FG
30/100 = 36/FG
By cross multiplication we now have 30 (FG) = 100 (36)
30FG = 3600
Divide both sides of the equation by 30
FG = 120
Answer:
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Step-by-step explanation:
Equation of a line: y = mx + b
m = slope(rise/run), b = y-intercept
1/2
y = 1/2x - 3
-7/4
y = -7/4x +4
-1/2
y = -1/2x - 3
-1/4
y = -1/4x + 2
1
y = x
-1
y = -x
So... get the like-terms and add/subtract

see what that gives you