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Natasha_Volkova [10]

4 years ago

14

What is the vale of x?

2 answers:

dimaraw [331]4 years ago

4 0

Since the triangles are similar, the following is true:

20 x+6
------- = -------
2x -6 36

Then (20)(36) = (x+6)(2)(x-3) = 2[x^2+3x-18], or

720 = 2[x^2+3x-18], or 360 = x^2 + 3x - 18.

Then x^2 + 3x - 18 - 360 = 0. This is a quadratic equation which can be solved using the quadratic formula, among other approaches. Please apply the quadratic formula here, using a=1, b=3 and c= -378, to find x.

sertanlavr [38]4 years ago

4 0

Since they are similar
36/x+6=2x-6/20

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Step-by-step explanation:

Since angles A and B are corresponding angles, they both equal one another. Your equation should be set up like this:

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<em><u>The quadratic equation/formula is:</u></em>

<em><u /></em> $x = \frac{-b+- \sqrt{b^2 - 4ac} }{2a}$

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<em><u>Plug in the numbers according to the letter associated:</u></em>

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