Read the proof. given: aeec; bddc prove: △aec ~ △bdc statement reason 1. aeec; bddc 1. given 2. ∠aec is a rt. ∠; ∠bdc is a rt. ∠ 2. definition of perpendicular 3. ∠aec ≅ ∠bdc 3. all right angles are congruent 4. ? 4. reflexive property 5. △aec ~ △bdc 5. aa similarity theorem what is the missing statement in step 4? ∠ace ≅ ∠bcd ∠eab ≅ ∠dbc ∠eac ≅ ∠eac ∠cbd ≅ ∠dbc

Write the contrapositive of the conditional statement. determine whether the contrapositive is true or false. if it is false, find a counterexample. a converse statement is formed by exchanging the hypothesis and conclusion of the conditional. a) a non-converse statement is not formed by exchanging the hypothesis and conclusion of the conditional. true b) a statement not formed by exchanging the hypothesis and conclusion of the conditional is a converse statement. false; an inverse statement is not formed by exchanging the hypothesis and conclusion of the conditional. c) a non-converse statement is formed by exchanging the hypothesis and conclusion of the conditional. false; an inverse statement is formed by negating both the hypothesis and conclusion of the conditional. d) a statement not formed by exchanging the hypothesis and conclusion of the conditional is not a converse statement. true

The amount cami raised during last year’s charity walk, $45.50, is 7/10 of the amount she raised this year. which equation represents n, the number of dollars she raised this year?

Acentral angle measuring 160 degrees intercepts an arc in a circle whose radius is 4. what is the length of the arc the circle formed by this central angle? round the length of the arc to the nearest hundredth of a unit. a) 4.19 units b) 6.28 units c) 12.57 units d) 12.57 square units