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nydimaria [60]
3 years ago
15

Please help i will be the happiest person alive 100 points and branliest

Mathematics
2 answers:
motikmotik3 years ago
8 0

Answer:

the correct answer is c


Step-by-stepth explanation:


dusya [7]3 years ago
6 0

Answer:

Q1:   The correct option is:   16

Q2:   The correct options are: \frac{AB}{DE}=\frac{AC}{DF} and \frac{AC}{DF}=\frac{BC}{EF}

Q3:   The correct option is:  \overline{BC}=12; \overline{EF}=16

Step-by-step explanation:

<u>Question 1:</u>

As here  \triangle RST\sim \triangle MNO, so the ratio of the corresponding sides will be equal. That means.....

\frac{RS}{MN}=\frac{RT}{MO}\\ \\ \frac{8}{x}=\frac{6.5}{13}\\ \\ 6.5x=8*13\\ \\ x=\frac{8*13}{6.5}=16

So, the length of the side x will be 16.

<u>Question 2:</u>

If two triangles are similar, then the ratio of their corresponding sides should be equal.  So, here the ratios of the corresponding sides are............

\frac{AB}{DE}=\frac{1}{3} \\ \\ \frac{BC}{EF}=\frac{2}{6}=\frac{1}{3}\\ \\ \frac{AC}{DF}=\frac{2}{7}

So we can see that the ratio of side AC and side DF is not equal with the other ratios.

Thus, the proportions that show the triangles are not similar:  \frac{AB}{DE}=\frac{AC}{DF} and \frac{AC}{DF}=\frac{BC}{EF}

<u>Question 3:</u>

Given that,  \frac{AB}{DE}=\frac{BC}{EF}  

The ratio of AB and DE is given as \frac{3}{4}

So, the ratio of BC and EF will be also \frac{3}{4}

Among the four options, if BC=12 and EF=16, only then the ratio will be \frac{3}{4}

\frac{BC}{EF} =\frac{12}{16}= \frac{3}{4}

So, the lengths of BC and EF could be 12 and 16 respectively.


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