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4. find the slope of the following triangles. round to the nearest hund…

Question

  1. find the slope of the following triangles. round to the nearest hundredth.

Explanation:

Step1: Recall slope formula

The slope $m$ of a line (or side - like in a right - triangle context) is given by $m=\frac{\text{rise}}{\text{run}}$. In a right - triangle, if the vertical side is the rise and the horizontal side is the run.

Step2: Calculate slope for triangle A

For triangle A, assume the vertical side (rise) $y = 16$ and the horizontal side (run) $x = 4$. Then $m_A=\frac{16}{4}=4$.

Step3: Calculate slope for triangle R

For triangle R, with vertical side (rise) $y = 16$ and horizontal side (run) $x = 3$. Then $m_R=\frac{16}{3}\approx5.33$.

Step4: Calculate slope for triangle C

For triangle C, with vertical side (rise) $y = 19$ and horizontal side (run) $x = 7$. Then $m_C=\frac{19}{7}\approx2.71$.

Answer:

For triangle A, the slope is 4.
For triangle R, the slope is approximately 5.33.
For triangle C, the slope is approximately 2.71.