Lucía makes braided key chains out of cotton cord. For every 8 feet of cotton cord she has, she can
make 3 braided key chains.
Part A Use a model to represent the relationship
between the feet of cotton cord and the number of
key chains.
Cotton Cord (ft)
8
Key Chains
1
2
3
Part B Use the model to explain how to find the
number of feet of cotton cord Lucía needs to make 5
key chains.

What number line represents the solution set for the inequality -1/2 greater than or equal to 4

Simplify (8x2 − 1 + 2x3) − (7x3 − 3x2 + 1). −5x3 + 11x2 − 2 5x3 − 11x2 + 2 x3 + 2x2 + x3 x3 − 2x2 − x3

Given: ab ≅ cd and ad ≅ bc prove: abcd is a parallelogram. statements reasons 1. ab ≅ cd; ad ≅ bc 1. given 2. ac ≅ ac 2. reflexive property 3. △adc ≅ △cba 3. ? 4. ∠dac ≅ ∠bca; ∠acd ≅ ∠cab 4. cpctc 5. ∠dac and ∠bca are alt. int. ∠s; ∠acd and ∠cab are alt. int. ∠s 5. definition of alternate interior angles 6. ab ∥ cd; ad ∥ bc 6. converse of the alternate interior angles theorem 7. abcd is a parallelogram 7. definition of parallelogram what is the missing reason in step 3? triangle angle sum theorem sas congruency theorem sss congruency theorem cpctc