What is the value of x?A.) -9B.) -10C.) 10D.) -12
1 answer:
Answer:
A.) -9
Step-by-step explanation:
it is observed that triangles ABL and KML are similar triangles
hence the following ratios are valid:
LA / LK = LB/LM = AB/KM
we can see that LA/LK = LB/LM = 1/2
hence the above ratio becomes
1/2 = AB/KM (rearranging)
KM = 2AB
We are given that KM = (x + 21) and AB = (x + 15)
hence
KM = 2AB
(x + 21) = 2 (x + 15)
x + 21 = 2x + 30
x - 2x = 30 - 21
-x = 9
x = -9
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