Identify the correct justification for each step, given that AC⎯⎯⎯⎯⎯ intersects BE⎯⎯⎯⎯⎯, m∠AFE=40° and m∠CFD=50°. It is given that AC⎯⎯⎯⎯⎯ intersects BE⎯⎯⎯⎯⎯. By the _, ∠AFE and ∠BFC are vertical ∠s. By the _, ∠AFE≅∠BFC. By the _, m∠AFE=m∠BFC. It is given that m∠AFE=40°. So, m∠BFC=40° by the _. By the _, m∠BFD=m∠BFC+m∠CFD. It is given that m∠CFD=50°. So, m∠BFD=40°+50° by the _. Simplify to get m∠BFD=90°. Thus, ∠BFD is a right ∠ by _.

you estimate that the angle of elevation to the top of the 86th floor (the observatory) is 82 .the total height of the building is another 123 meters above the 86th floor.

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answer-

a. the total cost of a taxi ride includes an initial charge of approximately $3.30

solution-

in the graph,

x axis represents the distance traveled and

y axis represents the total fare

the best fit line intersects the y axis approximately at 3.30 or y-intercept is 3.30. at x=0, i.e when the taxi is still, the value of y or the cost of the fare is 3.30. that means $3.30 is the fixed charge which will be levied along with the other fare.

the slope of the line represent the cost per mile. as the best fit line is straight line, so the price per mile is constant.

the coordinates of a' are (-5, 10)

what i did is i   turned 2 1/2 into an improper fraction which is 5/2. then i multiplied this (the scale factor) by the coordinates of a which is (-2,4).

hope this : )