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MariettaO [177]
3 years ago
8

Z is the midpoint of YA. If YZ = x + 12, and ZA = 6x - 13, what is YA?

Mathematics
1 answer:
fgiga [73]3 years ago
3 0

Answer: YA=7x-1

Step-by-step explanation:

You know that "Z" is the midpoint of "YA". This means the following:

YZ+ZA=YA

Now, you know that the expression for "YZ" is:

YZ = x + 12

And the given expression for "ZA" is:

ZA = 6x - 13

Knowing these expressions, you can substitute them into YZ+ZA=YA, as following:

( x + 12)+(6x - 13)=YA

Finally, you must add these expressions in order to get "YA".

Therefore, this is:

x + 12+6x - 13=YA\\\\7x-1=YA\\\\YA=7x-1

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