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KATRIN_1 [288]
3 years ago
9

If NML ~ SRL find the value of x.

Mathematics
1 answer:
katen-ka-za [31]3 years ago
7 0

Answer:

x = 5

Step-by-step explanation:

Since the triangles are similar, corrresponding sides are in proportion.

\frac{NM}{SR}  =  \frac{ML}{RL}  =  \frac{NL}{SL}

Using the equation formed by the second and third fraction above we get

\frac{28}{24} =  \frac{3x - 1}{x + 7}

28(x + 7) = 24(3x - 1)

28x + 196 = 72x - 24

44x = 220

x = 5

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