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3 years ago

7x-3 = 5x+ 15

Mathematics

1 answer:

Degger [83]3 years ago

6 0

Answer:

7x-3 = 5x+ 15

2x-3 = 15 (you will need to subtract the variables to get 2x)

2x = 18 (next, add the constants to result up to 18)

x = 9 (lastly, divide the constant 18 with the coefficient 2 to get 9)

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Answer:

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If $\frac{CE}{CB} = \frac{DC}{AC}$ and m∠ECD = m∠BCA, then the triangles are similar by the SAS theorem.

$\frac{EC}{BC} = \frac{14}{21} = \frac{2}{3}$ $\frac{DC}{AC} = \frac{18}{27} = \frac{2}{3}$

So, $\frac{CE}{CB} = \frac{DC}{AC}$ and m∠ECD = m∠BCA because vertical angles are congruent

Therefore ΔECD is similar to ΔBCA by SAS theorem

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2 years ago

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Zinaida [17]

The domain for the rational expression as given in the task content is; All real numbers except -5.

<h3>Domain of Rational functions</h3>

The domain of a rational function such as that given in the task content includes all possible values of the variable except that which renders the expression undefined.

On this note, the expression is undefined when, 3x + 15 = 0.

Hence, the domain is All real numbers except -5.