According to the given information, quadrilateral rect is a rectangle. by the definition of a rectangle, all four angles measure 90°. segment er is parallel to segment ct and by the converse of the same-side interior angles theorem. quadrilateral rect is then a parallelogram by definition of a parallelogram. now, construct diagonals et and cr. because rect is a parallelogram, opposite sides are congruent. therefore, one can say that segment er is congruent to segment ct. segment tr is congruent to itself by the reflexive property of equality. the side-angle-side (sas) theorem says triangle ert is congruent to triangle ctr. and because corresponding parts of congruent triangles are congruent (cpctc), diagonals et and cr are congruent.

The lee family bought their home for $220,000 this year. the equation =220,000(1.038) v = 220 , 000 ( 1 . 038 ) x can be used to find the value, v, of their home after x years. which will be the value of the lee family's home in 5 years?

Two angles are complementary. the large angle is 36 more than the smaller angle. what is the measure of the large angle?

An annual marathon covers a route that has a distance of approximately 26 miles. winning times for this marathon are all over 2 hours. the following data are the minutes over 2 hours for the winning male runners over two periods of 20 years each. earlier period 14 12 15 22 13 10 19 13 9 14 20 18 16 20 23 12 18 17 6 13 recent period 7 11 7 14 8 9 11 14 8 7 9 8 7 9 9 9 9 8 10 8 (a) make a stem-and-leaf display for the minutes over 2 hours of the winning times for the earlier period. use two lines per stem. (use the tens digit as the stem and the ones digit as the leaf. enter none in any unused answer blanks. for more details, view how to split a stem.) minutes beyond 2 hours earlier period 0 1 2 (b) make a stem-and-leaf display for the minutes over 2 hours of the winning times for the recent period. use two lines per stem. (use the tens digit as the stem and the ones digit as the leaf. enter none in any unused answer blanks.) minutes beyond 2 hours recent period (c) compare the two distributions. how many times under 15 minutes are in each distribution