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Stolb23 [73]
3 years ago
6

Similar triangles what the answer

Mathematics
2 answers:
anzhelika [568]3 years ago
4 0

Answer:

x=8

Step-by-step explanation:


nadezda [96]3 years ago
4 0

Answer:

x = 8

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

\frac{2x+4}{2x+4+4} = \frac{x+7}{x+7+3}

\frac{2x+4}{2x+8} = \frac{x+7}{x+10} ( cross- multiply )

(2x + 4)(x + 10) = (x + 7)(2x + 8) ← expand factors on both sides

2x² + 24x + 40 = 2x² + 22x + 56 ( subtract 2x² from both sides )

24x + 40 = 22x + 56 ( subtract 22x from both sides )

2x + 40 = 56 ( subtract 40 from both sides )

2x = 16 ( divide both sides by 2)

x = 8



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Answer:

Step-by-step explanation:

I think the only way you can solve this is to assume that <R means PRT in the given ratio. If I am wrong, I don't think the problem can be solved.

Find <T

Let <T = x

and <PRT = 3x

KLMN is a Parallelagram and therefore two adjacent angles are supplementary.

<PRT + <T = 180 degress

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4x = 180

x = 45

So <T = 45

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If RD is perpendicular to PS then <PDR = 90o

Here's the trick.

RD is also Perpendicular to RT

<MRD + <MRT = 90

<MRT = 180 - 90 - <T

<MRT = 180 - 90 - 45

<MRT = 45

Here comes your answer

=================

<MRD + MRT = 90

<MRD + 45 = 90

<MRD = 45

====================

Note: you must ignore everything to do with the diagram. It is not drawn to scale and the letters are not the same as in the question. The only thing you use is that the figure is a ||gm

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