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Anettt [7]
3 years ago
12

Hey! Can I have a simple explanation and a value for x?

Mathematics
1 answer:
alexgriva [62]3 years ago
5 0

Hello from MrBillDoesMath

Answer:

    x   = 6


Discussion:

We are told the triangles are similar so corresponding parts have equal ratios . In our case this becomes

(5x-2)/7x = (3x+2)/5x

and we need to solve for "x". Multiply both sides by x

(5x-2)/7x*x  = (3x+2)/5x*x =>

(5x -2)/7 = (3x+2)/5                    ( as x/x = 1)

Multiply both sides by 35 ( = 7 * 5)

(5x-2)/ 7  * (7*5) =  (3x +2 )/ 5 * (7*5)  =>

(5x-2) * 5 = (3x +2) * 7 =>

25x -10 = 21x + 14        =>          (subtract 21x from both sides)

(25x - 21x) - 10 =  14 =>              (simplify)

4x - 10  = 14  =>                           (add 10 to both sides)

4x = 14 + 10  =>                  

4x = 24  =>

x = 6



Thank you,

Mr. B


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Number 26 . i need help
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Remark

The upper answer is correct. Any time you are dealing with addition or subtraction and one of the numbers is irreducible and remains irrational no matter what you do, then the entire addition or subtraction of terms remains irrational.

For the second one that you did not answer, it works the same way as the comment says.

3√2 * 8√18 give two numbers that can be multiplied under the square root sign.

3*8 = 24

√(2*18) = √(36) = 6

The answer is 24*6 = 144

This procedure is the only way I know that you can get a rational result from two irrational factors. In fact it is really quite useful to know. You will use this when you learn how to rationalize the denominator. This exact method is used to do that.

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