A teacher draws Circle O, angle RPG and angle ROQ as shown. The teacher asks the students to select the correct claim about the relationship between the measure of angle RPQ and the measure of angle ROQ. Claim 1: The measure of angle RPQ is equal to the measure of angle ROQ. Claim 2: The measure of angle ROQ is twice the size of the measure of angle RPQ. Which claim is correct? Justify your answer.

Phyllis and chen are saving money to go to a football game. each friend starts with some money and saves a specific amount each week. phyllis made a graph to show the total she has saved at the end of each week. chen wrote an equation to show the total, y, he has saved at the end of each week, x. y = 15x + 15 compare the amount that each friend has when both friends start saving. select the correct answer from the drop-down menu to complete the statement. phyllis starts with $ and chen starts with $

Harry and jay are both flying on the same plane with an airline that randomly assigns seats to passengers. of the 182 total seats on the plane, 62 are window seats, 58 are middle seats, and the rest are aisle seats. what is the approximate probability that both harry and jay will be assigned aisle seats on the same plane? a. 11.48% b. 3.3% c. 2.08% d. 26.26%

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.