What percent of 4 is 7?
2 answers:
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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
Attached is your solution: simply set up the box as shown, then find the product of each in individual square in the box. The solution is the sum of the products... Note that when multiplying two binomials, you'll have like terms on one diagonal.
Hope this helps.. let me know if you have questions.
Hope this helps.. let me know if you have questions.