Provide an appropriate response.Let ABC be a right triangle with 
Let 
be the angle bisector of 
with D on line segment 
, and E and F the points on 
such that
src="https://sciemce.com/media/4/ppg__rrrrrr0615191112__f1q148g6.jpg" style="vertical-align: -4.0px;" /> is perpendicular to 
and 
is the angle bisector of angle 
Prove that 
What will be an ideal response?
Answers will vary. A sample correct response would be as follows.
?BAD ? ?DEB as both are right angles, and 
as 
is the angle bisector of 
From the AA similarity property, it follows that 
Thus 
Now the sum of the measures of all the angles in quadrilateral ADEB is 360°, so it follows that 
But clearly 
so we have 
Thus 
However, then 
As 
by the AA similarity property, 
and hence 
It follows immediately that 
Mathematics
src="https://sciemce.com/media/4/ppg__rrrrrr0615191112__f1q148g6.jpg" style="vertical-align: -4.0px;" /> is perpendicular to and is the angle bisector of angle Prove that
What will be an ideal response?
Answers will vary. A sample correct response would be as follows.
?BAD ? ?DEB as both are right angles, and as is the angle bisector of From the AA similarity property, it follows that Thus Now the sum of the measures of all the angles in quadrilateral ADEB is 360°, so it follows that But clearly so we have Thus However, then As by the AA similarity property, and hence It follows immediately that
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Lorimar Watch Company manufactures travel clocks. The daily marginal cost function associated with producing these clocks is
?
?
where 
is measured in dollars/unit and x denotes the number of units produced. Management has determined that the daily fixed cost incurred in producing these clocks is $130. Find the total cost incurred by Lorimar in producing the first 600 travel clocks/day.
?
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C. $2,313
D. $2,254
Evaluate the expression.512-2/3
A. 8
B. 
C. -64
D. - 