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Alekssandra [29.7K]
3 years ago
14

Solve for k. 8k + 2m = 3m + k

Mathematics
2 answers:
Bingel [31]3 years ago
5 0
Solve for k by simplifying both sides of the equation, then isolating the variable.

k = m/7 
Zielflug [23.3K]3 years ago
5 0

Let's use algebra and solve for k.

8k+2m=3m+k\\8k-k=3m-2m (putting k on one side and m on another)

7k=m\\k=\frac{m}{7}

This is the final answer.


ANSWER: k=\frac{m}{7}

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Please help would really appreciate it
laiz [17]

The given data is angle ∡RSU and angle ∡UST are complementary and

angle ∡RSU= 8k-1 and angle ∡UST = 7 (k-2)

The sum of the complementary angles is 90°

∡RSU + ∡UST = 90° => 8k-1 + 7 (k-2) = 90 => 8k-1+7k-14=90 => 15k - 15 = 90 => 15k = 90+15 => 15k = 107 => k= 105/15 = 7°    then

∡RSU= 8k-1= 8*7-1= 55°

∡UST= 7 (k-2)= 7 (7-2)= 7*5= 35°

The correct answer is ∡RSU= 55° and ∡UST= 35°

Good luck!!!

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