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Tresset [83]
3 years ago
10

Pls help meeeee I only have 5 mins left use the graph from number 3 to anwser number 4

Mathematics
1 answer:
Mariana [72]3 years ago
4 0

Answer:

Option C

Step-by-step explanation:

From the graph attached,

Slope of the line passing through two points A and B will be,

m = \frac{\text{Rise}}{\text{Run}}

   = \frac{12}{8}

   = \frac{3}{2}

Triangles having same ratio of Height and base (slope) will lie on the line graphed.

Option A

Slope pf the triangle  = \frac{44}{21}

\frac{3}{2}\neq \frac{44}{21}

Slope of the line ≠ Slope of the triangle

Therefore, triangle will not lie on the line.

Option B

Slope of the triangle = \frac{36}{12}=\frac{3}{1}

\frac{3}{2}\neq  \frac{3}{1}

Triangle will not lie on the line.

Option C

Slope of the triangle = \frac{30}{20}= \frac{3}{2}

Since, slope of the line = slope of the triangle

\frac{3}{2}= \frac{3}{2}

Triangle will lie on the line.

Option D

Slope of the triangle = \frac{52}{26}=\frac{2}{1}

But \frac{3}{2}\neq \frac{2}{1}

Therefore, triangle will not lie on the given line.

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