EMERGENCY PLEASE HELP STRUGGLING! The triangles in each pair are similar.
1 answer:
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
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Answer:
$8.75
Step-by-step explanation:
To calculate this you could use two methods. The first method is to find out what 10% is and multiply it by 5. The second method is to calculate 50% using the formula.
<u>Method 1:</u>
To work this out you would simply divide 17.50 by 10, which is 1.75. This is because percentages are out of 100 and so by dividing by 10 we are finding out what 10% is. Then you would multiply 1.75 by 5, which is 8.75. Then you would minus 8.75 from 17.50, which is 8.75.
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1) Divide 17.50 by 10.
2) Multiply 1.75 by 5.
3) Minus 8.75 from 17.50.
4) The new price is $8.75
<u>Method 2:</u>
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The formula for percentages is.
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To work this out you would first divide 50 by 100, which gives you 0.5. Then you would multiply 0.5 by 17.50, which is 8.75. Then you would minus 8.75 from 17.50, which is 8.75.
1) Divide 50 by 100.
2) Multiply 0.5 by 17.50.
3) Minus 8.75 from 17.50.
4) The new price is $8.75.