Match the reasons with the statements in the proof to prove AB || DC , given that AD is parallel to BC and AD = CB .

Given:

AD || BC

AD = CB

Prove:

AB || DC

1. AD || BC, AD = CB (A. If Lines are Parallel, then Alternate Interior Angles are Equal.)

2. AC = AC (B. If Alternate Interior Angles are Congruent, then Lines are Parallel.)

3. 2 = 3 (C. CPCTE)

4. ACD = CAB (D. Reflexive Property of Equality)

5. 1 = 4 (E. SAS)

6. AB || DC (F. Given)

50 ! pls ! 12.  building codes regulate the steepness of stairs. homes must have steps that are at least 13 inches wide for each 8 inches that they rise.

a. discuss how to find the slope of the stairs.
b. describe how changing the width or height affects the steepness of the stairs.

The table below represents the displacement of a fish from its reef as a function of time: time (hours) x displacement from reef (feet) y 0 4 1 64 2 124 3 184 4 244 part a: what is the y-intercept of the function, and what does this tell you about the fish? (4 points) part b: calculate the average rate of change of the function represented by the table between x = 1 to x = 3 hours, and tell what the average rate represents. (4 points) part c: what would be the domain of the function if the fish continued to swim at this rate until it traveled 724 feet from the reef? (2 points)

The amount spent on food and drink by 20 customers is shown below what is the modal amount spent and the median? 40 25 8 36 18 15 24 27 43 9 12 19 22 34 31 20 26 19 17 28