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1 vote
AB:BC is 3:4. Solve for x.

A.11
B.14
C.120
D.140
I would appreciate a walkthrough/step-by-step. If possible.

AB:BC is 3:4. Solve for x. A.11 B.14 C.120 D.140 I would appreciate a walkthrough-example-1
User Zombies
by
8.0k points

1 Answer

5 votes
I got B but I'll show you how I got that answer.

Let's look at AB and BC. AB = 3 and BC = 4.
3/4 = 0.75

On the triangle, AB = 90. And BC = 10x - 20. We need to solve for x and prove that AB/BC = 0.75.

Let's start with Choice A.

10(11) - 20 = 90.

AB = 90
BC = 90.

90/90 = 1. It doesn't equal 0.75. Meaning this answer is wrong.

Now let's look at Choice B.

10(14) - 20 = 120.

AB = 90
BC = 120

90/120 = 0.75

So, 3:4 = 90:120 making Choice B the correct Answer. Let me know if this is correct
User Dho
by
7.6k points
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