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A

Alycia Zemlak

Feb 20, 2025

D(5,7), e(4,3), and f(8,2) form the vertices of a triangle. what is m a-30 b-45 c-60 d-90

D(5,7), e(4,3), and f(8,2) form the vertices of a triangle. what is m a-30 b-45 c-60 d-90

10 Answers

A
Alycia Zemlak

Feb 20, 2025

DE^2 = 1 + 16 = 17. EF^2 = 16 + 1 = 17. DF^2 = 9 + 25 = 34. Since (DE)^2 + (EF)^2 = (DF)^2, angle E is 90 degrees. DF must be the hypotenuse Here look at that... Show More
A
Alycia Zemlak

Feb 20, 2025

m∠DEF is 90°Step-by-step explanation:It is given that  D(5, 7), E(4, 3), and F(8, 2) form the vertices of a triangle. Thus, using the distance formula, we have⇒⇒and ⇒⇒Also,  ⇒⇒Now, ⇒⇒Thus, Pythagoras theorem holds.Hence, m∠DEF is 90°⇒ΔDEF is right angled triangle which is right angled at E.... Show More
A
Alycia Zemlak

Feb 20, 2025

m∠DEF is 90°Step-by-step explanation:It is given that  D(5, 7), E(4, 3), and F(8, 2) form the vertices of a triangle. Thus, using the distance formula, we have⇒⇒and ⇒⇒Also,  ⇒ ⇒Now, ⇒⇒Thus, Pythagoras theorem holds.Hence, m∠DEF is 90°⇒ΔDEF is right angled triangle which is right angled at E.... Show More
A
Alycia Zemlak

Feb 20, 2025

Option D. 90°Step-by-step explanation:we havePlot the verticessee the attached figure   the formula to calculate the distance between two points is equal tostep 1Find the distance DEsubstitutestep 2Find the distance EFsubstitutestep 3Find the distance DFsubstitutestep 4The triangle DEF is a right triangle because satisfy the Pythagoras theoremso -----> is truethereforeThe measure of angle DEF is a right angle... Show More
A
Alycia Zemlak

Feb 20, 2025

the actual answer is 90 Step-by-step explanation:... Show More
A
Alycia Zemlak

Feb 20, 2025

The answer 90 degrees.Step-by-step explanation:DE^2 = 1 + 16 = 17.  EF^2 = 16 + 1 = 17.  DF^2 = 9 + 25 = 34.  Since (DE)^2 + (EF)^2 = (DF)^2,   angle E is 90 degrees.... Show More
A
Alycia Zemlak

Feb 20, 2025

DE^2 = 1 + 16 = 17. EF^2 = 16 + 1 = 17. DF^2 = 9 + 25 = 34. Since (DE)^2 + (EF)^2 = (DF)^2,  angle E is 90 degrees. DF must be the hypotenuse see attachment below... Show More
A
Alycia Zemlak

Feb 20, 2025

Od. 130 degrees because if you add them together you get the 130... Show More

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