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andreyandreev [35.5K]
3 years ago
14

Because ?ABC and ?CBD both have a right angle, and the same angle B is in both triangles, the triangles must be similar by AA. L

ikewise, ?ABC and ?ACD both have a right angle, and the same angle A is in both triangles, so they also must be similar by AA. The proportions and are true because they are ratios of corresponding parts of similar triangles. The two proportions can be rewritten as a2 = cf and b2 = ce. Adding b2 to both sides of first equation, a2 = cf, results in the equation a2 + b2 = cf + b2. Because b2 and ce are equal, ce can be substituted into the right side of the equation for b2, resulting in the equation a2 + b2 = cf + ce. Applying the converse of the distributive property results in the equation a2 + b2 = c(f + e). Which is the last sentence of the proof?
Mathematics
1 answer:
gavmur [86]3 years ago
3 0

Answer:

C i took that test unless u have to write it out

Step-by-step explanation:

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Complete the equation to show how many thirds are equivalent to<br> 8/12 = ?/3
anygoal [31]

Answer:

\frac{2}{3}

Explanation:

What we need to do is to convert \frac{8}{12} into a new - but still equal - fraction, one with a denominator of 3. In order to convert a fraction, you either divide or multiply both the denominator and the numerator by the same number.

We know that the answer has to be a fraction with the denominator of 3. Take a look at the denominator of \frac{8}{12} - it's 12. Ask yourself: 12 divided by what number equals 3? That number would 4.

So, divide 8 by 4 as well and you would get 2. Therefore, the numerator would be 2 and the answer is \frac{2}{3}.

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3 years ago
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6 0
4 years ago
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