Question

Find the length of x. help please !

Answer 1

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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