Give an example of a quadrilateral that shows that the converse of the following statement is false. If a quadrilateral has a pair of parallel sides, then it has a pair of supplementary angles.

Let the following statements be given.

p="You can vote."

q="You are under 18 years old."

r="You are from Mars."

Give the contrapositive of this statement in the symbols of formal logic.

You can't vote if you are under 18 years old or you are from Mars.

Solve by elimination.

$$\begin{array}{l}{20 x+3 y=20} \\ {-20 x+5 y=60}\end{array}$$

Let s be the following statement. If you are studying hard, then you are staying up late at night. (a) Give the converse of s. (b) Give the contrapositive of s.

Find the area of the region described in the following exercises. The region bounded by x=y(y-1) and $y=\frac{x}{3}$

Identify the part of speech of each italicized word: N (noun), pro. (pronoun), V (verb), adj. (adjective), or adv. (adverb). _____ $\mathit{Who}$ do you suppose the winner of the sportsmanship award will be?

Solve by graphing. Check your solution.

$$\begin{array}{l}{y=-\frac{1}{3} x+1} \\ {y=\frac{1}{3} x-3}\end{array}$$

What is the measure of each interior angle of an equilateral triangle? Explain.

Prepare check stubs and write the following checks. Use March 31 of the current year as the date. a. Check No.317 to Uniform World for uniform rental, $\$195.00$. b. Check No.318 to Salon Supplies for supplies, $\$328.00$.

Write the statement "P is necessary and sufficient for Q" in the symbols of formal logic, using as few connectives as possible.

Let the following statements be given. p = "You are in Seoul." q = ''You are in Kwangju." r = ''You are in South Korea." (a) Translate the following statement into symbols of formal logic. If you are not in South Korea, then you are not in Seoul or Kwangju. (b) Translate the following formal statement into everyday English. $q \rightarrow(r \wedge \neg p)$

Let the following statements be given. p = ''You can vote." q = ''You are under 18 years old." r = ''You are from Mars." (a) Translate the following statement into symbols of formal logic. You can't vote if you are under 18 years old or you are from Mars. (b) Give the contrapositive of this statement in the symbols of formal logic. (c) Give the contrapositive in English.

Draw the accounting equation on a T account.

Find a counterexample to show that each conjecture is false. If a ray intersects a segment at its midpoint, then the ray is perpendicular to the segment.