Rachel is trying to find the length of the lake shown on the diagram. She knows that if the two triangles are similar she can use a proportion to solve for the length. How can Rachel justify that the triangles are similar? What is the length of the lake?

A) Corresponding sides of the two triangles have the ratio of 41, which
proves SAS similarity. The length of the lake is 212 m.

C) Corresponding sides of the two triangles have the ratio of 41, which
proves SSS similarity. The length of the lake is 132 m

B) Corresponding sides of the two triangles have the ratio of 3:1, which
proves SSS similarity. The length of the lake is 159 m.

D) Corresponding sides of the two triangles have the ratio of 4:1, which
proves AAS similarity. The length of the lake is 240 m.

Arectangle has a width of 5 cm and a length of 10 cm. if the width is increased by 3, how does the perimeter change?

The price of a visit to the dentist is calculated according to the formula 50+100n50+100n where nn is the number of cavities the dentist finds. on your last visit to the dentist, 22 cavities were found. what was the cost of your visit?

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