Betty earns $52.65 per week working as a lifeguard. she worked as a lifeguard for 5 weeks. she also earned $46.25 painting faces at a carnival. she spent $16.25 of her total earnings to buy a book. betty put 1 over 6 of the remaining money in her savings account. betty used the following steps to find the total money she put in her saving account: step 1: [($52.65 ⋅ 5) $46.25 − $16.25] ⋅ 1/6 step 2: [$263.25 $46.25 − $16.25] ⋅ 1/6 step 3: 293.25 ⋅ 1/6 step 4: $1,759.50 in which step did betty first make an error? use words to explain how betty can correct her error.

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

Which of the following functions corresponds to the above sinusoid? a. 10 cos πx - 5 b. -5 sin x - 5 c. -10 cos πx/2 - 0.5 d. 10 sin πx - 5

In trapezoid abcd, ac is a diagonal and ∠abc≅∠acd. find ac if the lengths of the bases bc and ad are 12m and 27m respectively.