Given: m || n, ∠1 ≅ ∠3 Prove: p || q

Horizontal parallel lines n and m are cut by transversals q and p. At the intersection of lines q and m, the uppercase right angle is angle 3. At the intersection of lines p and m, the uppercase right angle is angle 2. At the intersection of lines p and n, the bottom left angle is angle 1.

Complete the two-column proof.

♣ =

♦ =

♠ =

The management of a supermarket wants to adopt a new promotional policy of giving a free gift to every customer who spends more than a certain amount per visit at this supermarket. the expectation of the management is that after this promotional policy is advertised, the expenditures for all customers at this supermarket will be normally distributed with a mean of $95 and a standard deviation of $20. if the management wants to give free gifts to at most 10% of the customers, what should the amount be above which a customer would receive a free gift?

In the diagram below,abc is congruent to dec what is the value of x

Is the ordered pair (-10, 7) a solution to the equation y = 17 – x? yes or no