Statements Reasons

1. BD 1 BC

1.

Given

2.

2. ZDBC is a right angle

3. mZDBC = 90°

3. Def. of a right angle

4. mZDBE + ZEBC = mZDBC

Angle addition postulate

Transitive

5. mZDBE + MZEBC = 90°

5.

6. ZABD = ZDBE

6.

7. m ZABD = mZDBE

7.

8. MZABD + m_EBC = 90°

8.

9. ABD and EBC are complementary

9. Def. of complementary

Examine the following sets of events. set a: {1, 5, 7, 9, 14} set b: {2, 5, 6, 8, 14, 17} which of the following represents the intersection of set a and set b ? {∅} {5, 14} {1, 2, 5, 6, 7, 8, 9, 14, 17} {1, 2, 6, 7, 8, 9, 17}

Which represents the inverse of the function f(x) = 4x? h(x) = x + 4 h(x) = x – 4 h(x) = x h(x) = x

Imogene invested $8,000 in a bank account that pays 8 percent simple interest at the end of each year. her friend invested the same amount in stocks where the growth of the investment is represented as 2,000 times the square root of 2 less than the time lapsed in years. if y1 and y2 represent the amount earned in dollars and t is the time lapsed in years, which system of equations correctly represents the situation?