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Kisachek [45]
3 years ago
12

Please help, I beg of y'all FIND BD -

Mathematics
1 answer:
puteri [66]3 years ago
3 0

9514 1404 393

Answer:

  14 units

Step-by-step explanation:

The angle bisector divides the sides proportionally.

  BD/BA = CD/CA

  (x+4)/8 = (2x+1)/12

  3(x +4) = 2(2x +1) . . . . . multiply by 24 (the least common denominator)

  3x +12 = 4x +2 . . . . . . . eliminate parentheses using the distributive property

  12 = x +2 . . . . . . . subtract 3x

  10 = x . . . . . . . . . subtract 2

Then the length of BD is ...

  BD = x +4

  BD = 10 +4 . . . . substitute the value of x

  BD = 14

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When you see an equation with parenthesis around it, you can use this:

Parenthesis

Exponents

Multiplication

Division

Addition

Subtraction

Otherwise known as PEMDAS.

We can see that in the equation, there are parenthesis, so we can open those. We open parenthesis by taking the number right next to the parenthesis (or outside the parenthesis) and we multiply that number by everything inside. So this is what it would look like:

-2x^2 - 10x + 8

See how the signs changed? This rule only applies when you multiply something, but here is how I think of it:

+ and + always equals +.

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- and + always equals -.

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So that's it! Just to be clear, the answer is:

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Hope I helped, sorry if I'm wrong!

`Mschmindy

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