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hram777 [196]
3 years ago
7

A triangle has side lengths 8, 7, 4. In a similar triangle the smallest side is represented by x + 5 and the longest side is rep

resented by x - 3. What is the value of x?
Mathematics
2 answers:
mr Goodwill [35]3 years ago
8 0

Answer:

x = 11

Step-by-step explanation:

8/4 = (x+5)/(x-3)

cross-multiply:

8(x-3) = 4(x+5)

8x - 24 = 4x + 20

4x  = 44

x = 11

nirvana33 [79]3 years ago
7 0

Answer:

Step-by-step explanation:

X=11

The longest known is double than samallest known

2(x-3) = x+5

2x-6 = x+5

x= 11

                   11-3 = 8

                   11+5 = 16

Sides of the known triangle    8,7,4     (side 8 double than side 4)

Sides of the similar triangle       16,14,8   (side 16 double than side  8 )

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Anastaziya [24]

<em>The right question is:</em>

\frac{1}{2}x - 3y = 9

5x + y = 28

Answer:

<em></em>x = 6<em> </em>

y = -2<em></em>

<em></em>

Step-by-step explanation:

Given

\frac{1}{2}x - 3y = 9

5x + y = 28

Required

Solve for x and y

Make y the subject of formula in the second equation

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Substitute y = 28 - 5x in the first equation

\frac{1}{2}x - 3(28 - 5x) = 9

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Collect Like Terms

\frac{1}{2}x  + 15x = 9+ 84

\frac{x}{2}  + 15x = 9+ 84

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2 * \frac{31x}{2} = 93 * 2

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Divide both sides by 31

\frac{31x}{31} = \frac{186}{31}

x = \frac{186}{31}

x = 6

Recall that y = 28 - 5x

So;

y = 28 - 5 * 6

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Hence;

<em></em>x = 6<em> and </em>y = -2<em></em>

8 0
3 years ago
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Answer:

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