Provide an appropriate response.AFBC is a trapezoid with  parallel to . Let D and E be points on  and  respectively such that  is parallel to -4.0px;" /> (and ). Prove that .



What will be an ideal response?


Answers will vary. A sample correct response would be as follows.

Draw in line , and let X denote the intersection of  and . As  is parallel to , we have  As  by the AA similarity property we have  and hence  It follows that  and so  Similarly, one shows that  Thus  It follows that  and so 


Mathematics

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Translate the problem situation to a system of equations. Do not solve.The perimeter of a rectangular building is 208 feet. The width is 56 shorter than the length. What are the dimensions?

A. L = W - 56; 2L + W = 208 B. W = L - 56; L + W = 208 C. W = L - 56; 2L + 2W = 208 D. W = L + 56; 2L + 2W = 208

Mathematics

Multiply.(x - 7)(-4x + 3)

A. -4x2 + 31x + 31 B. -4x2 - 21x + 31 C. -4x2 + 31x - 21 D. -4x2 + 29x - 21

Mathematics

Find a power function that models the data in the table. Round to three decimal places if necessary. 

A. y = 2.309x2.284 B. y =2.085x3.734 C. y = 27.8x - 36 D. y = 3.734x2.085

Mathematics

Find the missing quantities. Round rates to the nearest whole percent and money to the nearest cent.

A. % Markdown = 31% Reduced price = $862.50 B. % Markdown = 23.7% Reduced price = $862.50 C. % Markdown = 31% Reduced price = $1637.50 D. % Markdown = 862.50% Reduced price = $387.50

Mathematics