Provide an appropriate response.In the following diagram, suppose that  = . Prove that XY is parallel to BC.

What will be an ideal response?


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

Note that  As  by the SAS similarity property we have  Hence  so by the corresponding angles theorem for parallel lines, XY is parallel to BC.

Mathematics

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Factor.5x2 - 34x + 24

A. (5x - 4)(x - 6) B. (5x - 18)(x - 6) C. (x - 4)(x - 6) D. (5x + 4)(x + 6)

Mathematics

Convert as indicated.In a physics lab, Shelly recorded the speed of an object at 130 feet per second. Convert this speed to miles per hour. (Round to the nearest whole, if necessary.)

A. 1 mph
B. 468,000 mph
C. 89 mph
D.  mph

Mathematics

Solve the problem.Salt Lake City, Utah, is due north of Flagstaff, Arizona. Find the distance between Salt Lake City (40°45' north latitude) and Flagstaff (35°16' north latitude). Assume that the radius of the Earth is 3960 miles. Round to nearest whole mile.

Fill in the blank(s) with the appropriate word(s).

Mathematics