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I need help on number 10 please

I need help on number 10 please-example-1

2 Answers

4 votes
JL and MK have the same value, because they link heights and lengths with the same proportion: Height KL = Height JM ; Length ML = Length JK. So you can conclude that you can do:

JL = MK
-> 2x + 5 = 7x - 40
-> 5x = 45
-> x = 45/5
-> x = 9

MK = ?
-> MK = 7x - 40
-> MK = 7.(9) - 40
-> MK = 63 - 40
-> MK = 23
User Rahulsri
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8.7k points
1 vote
JL=MK, therefore 2x+5=7x-40
5=5x-40
45=5x
9=x

7(9)-40= 63-40=23
User Onlyphantom
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8.8k points