In the diagram, AB:BC is 3:4 and AC:42 Find BC
1 answer:
From the diagram:
AB + BC = AC
we know that AC = 42, therefore:
AB + BC = 42 ..............> equation I
We know that the ratio AB:BC is 3:4. This means that:
AB/BC = 3/4
4AB = 3BC
AB = (3/4) BC ...............> equation II
Substitute by equation II in equation I to get BC as follows:
(3/4) BC + BC = 42
1.75 BC = 42
BC = 24
Substitute with the value of BC in equation II to get AB as follows:
AB = (3/4) * 24 = 18
AB + BC = AC
we know that AC = 42, therefore:
AB + BC = 42 ..............> equation I
We know that the ratio AB:BC is 3:4. This means that:
AB/BC = 3/4
4AB = 3BC
AB = (3/4) BC ...............> equation II
Substitute by equation II in equation I to get BC as follows:
(3/4) BC + BC = 42
1.75 BC = 42
BC = 24
Substitute with the value of BC in equation II to get AB as follows:
AB = (3/4) * 24 = 18
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Answer:
<h2>Hence the second option is the correct answer</h2>Step-by-step explanation:
In this problem we are required to factor out the given terms as stated in the expression, what is obtainable is that we look for terms(greatest terms) that are common to all the terms in the expression and factor it out.
here is a way to do it
given the following expression
From the expression above we can see that 3 is common to all the terms of the expression so that we have
hence the second option is the correct answer
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Least to greatest of these problem
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Least to greatest of these problem
For the fractions you can simplify it make it easier for you to solve these types of problems
Anyhow!
Let's find our answer, shall we?
Our answer: