Match the following reasons with the statements to complete the following proof.

Given: AD is a straight line and m CBD = m DBE
To Prove: m ABC + m DBE = 180°.

1. mCBD = mDBE Given
2. ABC, CBD are supplementary Definition of supplementary
3. mABC + mCBD = 180° Substitution
4. mABC + mDBE = 180° ...exterior sides in opposite rays

Consider the functions below. function 1 function 2 function 3 select the statement which is true about the functions over the interval [1, 2] a b function 3 has the highest average rate of change function 2 and function 3 have the same average rate of change. function and function 3 have the same average rate of change function 2 has the lowest average rate of change d.

Abag contains 4 red, 7 blue and 5 yellow marbles. event a is defined as drawing a yellow marble on the first draw and event b is defined as drawing a blue marble on the second draw. if two marbles are drawn from the bag, one after the other and not replaced, what is p(b|a) expressed in simplest form? a. 7/16 b. 7/15 c. 14/16 d. 14/15

What is the correlation coefficient between the variables? round to three decimal places. enter your answer in the box