Please help me.What is an equation that represents this situation?
1 answer:
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Answer:
b
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are equal, that is
=
, substitute values
=
( cross- multiply )
10(6x + 3) = 25(x + 11) ← distribute parenthesis on both sides
60x + 30 = 25x + 275 ( subtract 25x from both sides )
35x + 30 = 275 ( subtract 30 from both sides )
35x = 245 ( divide both sides by 35 )
x = 7
Then
KL = 6x + 3 = 6(7) + 3 = 42 + 3 = 45 → b
The common ratio between terms is 3, so the sequence has general -th term
for . The term exceeds 7000 when
which means the first time exceeds 7000 occurs when
. Indeed,
while the previous term would have been