3 years ago

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1 answer:

arsen [322]3 years ago

8 0

0.060 0.030

0.940 0.970

6.0% 3.0%

94.0% 97.0%

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2 years ago

Lydia graphed δlmn at the coordinates l (0, 0), m (2, 2), and n (2, −1). She thinks δlmn is a right triangle. Is lydia's asserti

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No product results in -1, hence δlmn is NOT a right triangle showing that lydia's assertion is incorrect

<h3>Perpendicular lines</h3>

In order to determine whether triangle lmn is right-angled, we need to determine the slope of lm, ln, and mn first as shown:

For the slope of lm:

$m_{lm} = \frac{2-0}{2-0}\\ m_{lm} =2/2\\m_{lm} =1$

For the slope of ln:

$m_{ln} = \frac{-1-0}{2-0}\\m_{ln} =-1/2\\$

For the slope of mn:

$m_{mn} = \frac{-1-2}{2-2}\\m_{ln} =-3/0 = \infty\\$

If any of the two lines is perpendicular, hence the triangle lmn is right-angled.

To check, we will take the product of the slopes and see if it is equivalent to -1.

Product of slope lm and ln

$m_{lm}\times m_{ln} = 1 \times -1/2\\m_{lm}\times m_{ln} = -1/2$

Since no product results in -1, hence δlmn is NOT a right triangle showing that Lydia's assertion is incorrect

Learn more on slopes here: brainly.com/question/3493733

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