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-BARSIC- [3]
2 years ago
8

Read the underlined sentence in the paragraph on page 2.

SAT
2 answers:
Alla [95]2 years ago
8 0
I can’t see anything
Lady_Fox [76]2 years ago
7 0

Answer:

what underlined paragraph

Explanation:

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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
nadya68 [22]

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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