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Gekata [30.6K]
3 years ago
11

Find the length of x. help please !

Mathematics
1 answer:
andreyandreev [35.5K]3 years ago
6 0

Answer:

x = 10

Step-by-step explanation:

Use CPCTC (Corresponding parts of congruent triangles are congruent).

Set the ratios:

\frac{6.5}{5} = \frac{6.5 + 6.5}{x}

First, simplify. Combine like terms:

\frac{6.5}{5} = \frac{13}{x}

Next, cross multiply.

5 * x * \frac{6.5}{5}  = \frac{13}{x} * x * 5\\x * 6.5 = 13 * 5\\6.5x = 65\\

Isolate the variable, x. Divide 6.5 from both sides of the equation:

\frac{(6.5x)}{6.5} = \frac{(65)}{6.5} \\\\x = \frac{65}{6.5}\\x =  10

Check:

\frac{5}{6.5} = \frac{x}{13}

Plug in 10 for x (Your answer). Cross multiply, then simplify:

\frac{5}{6.5} = \frac{10}{13}

13 * 6.5 * \frac{5}{6.5} = \frac{10}{13} * 13 * 6.5

13 * 5 = 10 * 6.5

65 = 65 (True).

~

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cost of a pair of pants = 'y'

Now, According to the question;

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