Statement reason 1. draw a line through b that is perpendicular to and label the point of intersection with as d. construction 2. in δabd, bd = c sin a. definition of sine in a right triangle 3. in δcbd, bd = a sin c. definition of sine in a right triangle 4. c sin a = a sin c substitution property of equality 5. dividing throughout by sin a sin c 6. draw a line through a that is perpendicular to and label the point of intersection with as e. construction 7. in δbae, ae = c sin b. definition of sine in a right triangle 8. in δcae, ae = b sin c. definition of sine in a right triangle 9. c sin b = b sin c substitution property of equality 10. dividing throughout by sin b sin c 11. transitive property of equality what is the missing statement in step 10 of the proof? given: δabc with ab = c, bc = a, ac = b prove:

Complete the solution of the equation. find the value of y when x equals to 28 x+3y=28

Given the sequence 7, 14, 28, 56, which expression shown would give the tenth term? a. 7^10 b. 7·2^10 c. 7·2^9

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