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Arlecino [84]
3 years ago
11

Point K is the midpoint of JL. If JK=7x+4 and KL=12x−21, what is the length of JL?

Mathematics
1 answer:
telo118 [61]3 years ago
7 0
Since K is the midpoint of JL, it divides the segment JL into two equal halves.
That means    ⇒  JK = KL
Substitute expressions for the parts ⇒ 7x + 4 = 12x - 21
Now solve the equation:                        7x - 7x + 4 = 12x - 7x - 21
                                                                              4 = 5x - 21
                                                                       4 + 21 = 5x - 21 + 21
                                                                             
25 = 5x  
                                                                                5 = x
Substitute the value into one of the expressions: JK = 7(5) + 4 = 39
JL = JK + KL
JL = 39 + 39 = 78
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