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:
The first step is sort the values on increasing order and we got:
18, 18, 19, 19, 19, 20, 22, 23. 25, 26, 31
And in order to find the first quartile we can separate the first 5 lowest values from the largest 5 values. And for this case we focus on these values:
18, 18, 19, 19, 19
And if we find the median of the last 5 values we can find the first quartile and we got:
The best answer would be:
19
Step-by-step explanation:
For this problem we have the following dataset:
18, 26, 19, 25, 19, 23, 31, 22, 19, 18, 20
The first step is sort the values on increasing order and we got:
18, 18, 19, 19, 19, 20, 22, 23. 25, 26, 31
And in order to find the first quartile we can separate the first 5 lowest values from the largest 5 values. And for this case we focus on these values:
18, 18, 19, 19, 19
And if we find the median of the last 5 values we can find the first quartile and we got:
The best answer would be:
19