The bottom answer is correct. I had some trouble with this so I had to find x and y in separate parts.
TO FIND X
notice that the top triangle and bottom triangles are similar, meaning if you multiple all three sides of one by a specific number, it becomes the same size as the bottom triangle.
17 x n = 8, therefore n=8/17
8 x n = X, therefore X=64/17
For some reason, this does not give a correct value for Y, so I had to use trig
TO FIND Y
Notice that the angle DAB is the same as DBC (lets call this angle Ø)
Using trig rule, we know that the cos of an angle is equal to the adjacent side divided by the hypotenuses.
We can now form some equations:
cosØ = 15/17 (from the top triangle)
cosØ = 8/Y (from bottom triangle)
Now we know that Y=(8x17)/15 = 136/15
X=64/15 Y=136/15
D.
1/5 of 65 is
65 × 1 / 5
65 / 5
= 13
65 and 13 add up to 78.
65 is the highest number out of both numbers.
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Answer: 57 boys
Step-by-step explanation: Lets break it down right
14th from the top with 10 girls in front which means 3 boys are in front and since there are twice as many girls as boys there are 60 girls and 30 boys so 3 boys are ahead which leaves 57 boys below him