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Fofino [41]
3 years ago
10

Solve the following problems: Find x, y

Mathematics
1 answer:
vladimir1956 [14]3 years ago
8 0

Answer:

x=1.25, y=1.75

Step-by-step explanation:

The two triangles formed (one triangle with side lengths of 5, 7, 8 and another with sides 5+x, 10, and 7+y) are similar, because they share the same angle measures.

Now, 2 sides given that we can compare ratios with are the side with length 8, and the side with length 10. 10/8= 1.25, which is the ratio of the sides on these 2 triangles.

Now we want to find what the side '5+x' is equal to. To do that we can use our  ratio, and multiply 5 by 1.25 to find '5+x'. This is 6.25. To find x, all we need to do is subtract 5 from 6.25, which is 1.25.

Let's find y now. Do the same thing that we did with the side '5+x'; find what '7+y' is by multiplying 7 by 1.25, which is 8.75. 8.75-7= 1.75.

Hope this helps! :)

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Answer the following questions
Alex787 [66]

Answer:

1. 2 \frac{2}{7}

2. 2 \frac{1}{3}

3. \frac{5}{12}

4. 8 \frac{2}{3}

5. \frac{2}{3}

Step-by-step explanation:

<h2>1. \:  \: 2 \frac{2}{3}   \div 1 \frac{1}{6}</h2>

\frac{8}{3}  \div  \frac{7}{6}

\frac{8}{3}  \times  \frac{6}{7}

8( \frac{2}{7} )

\frac{8 \times 2}{7}

\frac{16}{7}

2 \frac{2}{7}

<h2>2. \:  \: 6 \frac{2}{3}  \div 2 \frac{6}{7}</h2>

\frac{20}{3}  \div  \frac{20}{7}

\frac{20}{3}  \times  \frac{7}{20}

\frac{1}{3}  \times 7

\frac{7}{3}

2 \frac{1}{3}

<h2>3. \:  \: 4 \frac{1}{6}  \div 10</h2>

\frac{25}{6}  \div  \frac{10}{1}

\frac{25}{6}  \times  \frac{1}{10}

\frac{5}{6}  \times  \frac{1}{2}

\frac{5}{6 \times 2}

\frac{5}{12}

<h2>4. \:  \: 6 \frac{1}{2}  \div  \frac{3}{4}</h2>

\frac{13}{2}  \div  \frac{3}{4}

\frac{13}{2}  \times  \frac{4}{3}

13( \frac{2}{3} )

\frac{13 \times 2}{3}

\frac{26}{3}

8 \frac{2}{3}

<h2>5. \:  \: 3 \frac{3}{4}  \div 5 \frac{5}{8}</h2>

\frac{15}{4}  \div  \frac{45}{8}

\frac{15}{4}  \times  \frac{8}{45}

\frac{1}{4}  \times  \frac{8}{3}

\frac{2}{3}

<h3>Hope it is helpful...</h3>
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3 years ago
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Answer:


Step-by-step explanation:

23


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