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bazaltina [42]
3 years ago
9

~WILL GIVE BRAINLIEST~ What is the slope of this line (in the picture)? Enter your answer as a fraction in simplest term in the

box.

Mathematics
2 answers:
Alchen [17]3 years ago
7 0

Answer:

-2/2 wich is equal to -1

Step-by-step explanation:

Margarita [4]3 years ago
3 0

Answer:

-2/2=-1?

Step-by-step explanation:

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Answer:

  ΔDCE by ASA

Step-by-step explanation:

The marks on the diagram show AE ≅ DE. We know vertical angles AEB and DEC are congruent, and we know alternate interior angles BAE and CDE are congruent. The congruent angles we have identified are on either end of the congruent segment, so the ASA theorem applies.

Matching corresponding vertices, we can declare ΔABE ≅ ΔDCE.

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\text{Let}\ k:y=m_1x+b_1\ \text{and}\ l:y=m_2x+b_2,\ \text{then}\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\\\l\ \parallel\ k\iff m_1=m_2\\\\\text{Convert the equation to the slope-intercept form}\ y=mx+b.\\\\5x-8y=8\qquad\text{subtract}\ 5x\ \text{from both sides}\\\\-8y=-5x+8\qquad\text{divide both sides by (-8)}\\\\y=\dfrac{5}{8}x-1\to m_1=\dfrac{5}{8}\\\\perpendicular:\ m_2=-\dfrac{1}{\frac{5}{8}}=-\dfrac{8}{5}\\\\parallel:\ m_2=\dfrac{5}{8}

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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