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Ilia_Sergeevich [38]
3 years ago
14

Which equation is represented by the graph?

Mathematics
1 answer:
yan [13]3 years ago
3 0

Answer:

I don't knowledge bro sorry

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5x=30

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×=6

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For which segment lengths is QS¯¯¯¯¯ parallel to MN¯¯¯¯¯¯¯ ? A triangle with vertices labeled as Q, R, S. Side Q S is base. Side
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Thus, (1) is non parallel set and (2) and (3) are parallel set.

Step-by-step explanation:

Consider a triangle with vertices labeled as Q, R, S. Side QS is base. Sides RQ and RS contain midpoints M and N, respectively. A line segment is drawn from M to N as shown in figure below.  

For MN and QS to be parallel the ratio of line segment must be in same ratio, that is \frac{RM}{RQ}=\frac{RN}{RS}.

Check for the given options,

1) Given : QM=2, MR=4, SN=3, NR=5

Find the values in the ratio,

\frac{RM}{RQ}=\frac{RM}{RM+MQ}=\frac{4}{6}=\frac{2}{3}

\frac{RN}{RS}=\frac{RN}{RN+NS}=\frac{5}{8}=\frac{5}{8}

Thus, \frac{RM}{RQ}\neq \frac{RN}{RS}

Thus, (1) is non parallel set.

2) Given : QM=2, MR=5, SN=6, NR=15  

Find the values in the ratio,

\frac{RM}{RQ}=\frac{RM}{RM+MQ}=\frac{5}{7}

\frac{RN}{RS}=\frac{RN}{RN+NS}=\frac{15}{21}=\frac{5}{7}

Thus, \frac{RM}{RQ}=\frac{RN}{RS}

Thus, (2) is parallel set.

3) Given: QM=2, MR=8, SN=3, NR=12

Find the values in the ratio,

\frac{RM}{RQ}=\frac{RM}{RM+MQ}=\frac{8}{10}=\frac{4}{5}

\frac{RN}{RS}=\frac{RN}{RN+NS}=\frac{12}{15}=\frac{4}{5}

Thus, \frac{RM}{RQ}=\frac{RN}{RS}

Thus, (3) is parallel set.




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