Statements Reasons

Given: ABCD is a rectangle.

Prove: ABCD has congruent diagonals.

B

С

1. ABCD is a rectangle

1. given

✓x

2. draw AC and BD

2. unique line postulate

3. ZBAD and LCDA are right

angles

3. def. of a rectangle

4. ZBAD CDA

4. all right angles are

congruent

А

D

5. ABCD is a parallelogram

5. def. of a rectangle

Identify the steps that complete the proof.

6. AB CD

6.

7. AD AD

7. reflexive property

8. ABAD ADCB

8.

9. BD AC

9.

Intro

Adaylily farm sells a portion of their daylilies and allows a portion to grow and divide. the recursive formula an=1.5(an-1)-100 represents the number of daylilies, a, after n years. after the fifth year, the farmers estimate they have 2225 daylilies. how many daylilies were on the farm after the first year?

In one day there are too high tides into low tides and equally spaced intervals the high tide is observed to be 6 feet above the average sea level after six hours passed a low tide occurs at 6 feet below the average sea level in this task you will model this occurrence using a trigonometric function by using x as a measurement of time assume the first high tide occurs at x=0. a. what are the independent and dependent variables? b. determine these key features of the function that models the tide: 1.amplitude 2.period 3.frequency 4.midline 5.vertical shift 6.phase shift c. create a trigonometric function that models the ocean tide for a period of 12 hours. d. what is the height of the tide after 93 hours?

Assume that y varies inversely with x. if y=1.6 when x=0.5 find x when y=3.2