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Gnoma [55]
3 years ago
13

Please help find mDF!!

Mathematics
1 answer:
Natalka [10]3 years ago
4 0

9514 1404 393

Answer:

  72°

Step-by-step explanation:

The external angle E is half the difference of subtended arcs CG and DF.

  E = (CG -DF)/2

  2E = CG -DF . . . . . . multiply by 2

  DF = CG -2E = 160° -2(44°) . . . . . add DF-2E to both sides; substitute values

  arc DF = 72°

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Answer:

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Step-by-step explanation:

we are given the endpoint i.e P and Q of a line segment

we want to figure out the Midpoint of the Line segment

in order to do so we can use Midpoint formula given by

\displaystyle M =  \bigg( \frac{ x_{1} +  x_{2}  }{2}  , \frac{ y_{1} +  y_{2}}{2}  \bigg)

so let

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substitute

\displaystyle M =  \bigg( \frac{  - 2 +  8}{2}  , \frac{  - 2 +  4}{2}  \bigg)

simplify addition:

\displaystyle M =  \bigg( \frac{  6}{2}  , \frac{  2}{2}  \bigg)

simplify division:

\displaystyle M =  ( 3,1 )

hence,

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