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2 years ago

In the diagram below of triangle EFG, H is a midpoint of EF and J is a midpoint

Mathematics

1 answer:

Korolek [52]2 years ago

8 0

Answer:

Step-by-step explanation: 2(4x+6)=

\,\,34-3x

34−3x

Since HJ is a midsegment, twice HJ is equal to EG.

8x+12=

\,\,34-3x

34−3x

Distribute.

8x+12=

\,\,-3x+34

−3x+34

Communicative property to change the order

\color{red}{+3x}\phantom{+12}\phantom{=}

+3x+12=

\,\,\color{red}{+3x}\phantom{+34}

+3x+34

+3x to both sides.

11x+12=

\,\,34

\phantom{11x}\color{red}{-12}\phantom{=}

11x−12=

\,\,\color{red}{-12}

−12

-12 to both sides.

11x=

\,\,22

\frac{11x}{11}=

11x

\,\,\frac{22}{11}

Divide both sides by 11

\,\,2

Value of x

HJ=

\,\,4x+6

4x+6

Value of HJ

HJ=

\,\,4(2)+6

4(2)+6

Plug in x.

HJ=

\,\,8+6

8+6

Multiply.

HJ=

\,\,14

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Answer:

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Step-by-step explanation:

Given: It takes 4 hours and 15 minutes to fly from Orlando, Florida, to Boston, Massachusetts. The distance between the two cities is 1114 miles

To Find: the average speend of the plane in miles per hour, If every mile is approximately 1.6 kilometers, the speed of the airplane in kilometers per hour

Solution:

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