Click here to see a proof of the converse of the parallelogram angle theorem. as you read through the proof, look for how to complete the statements on the right. complete the statements by choosing the correct answer from the drop-down menu. are being used to get the equation in step 6. are being used to get the equation in step 8. are being used to get the equation in step 9. in step 14, "similar argument" means to draw segment and follow the same logic in steps 3-12.

Question
solved
general 11 months ago 5780

A random group of high school and college students were asked if they study with or without listening to music. The frequency table below shows the results of the poll. Which statements are true? Check all that apply.The table shows conditional relative frequencies by column.The table shows conditional relative frequencies by row.The conditional relative frequency that someone is in high school, given that the person prefers to study without music, is about 0.56.If someone prefers to study with music, the probability the person is in college is about 63%.If someone prefers to study with music, the probability the person is in HS is about 44%.

Question
solved
general 11 months ago 4823

Gianna is preparing for the upcoming tennis season. According to her schedule, she can complete at most 10 workouts this week. It takes Gianna 45 minutes to complete her drill-based workouts and 30 minutes to complete her conditioning workouts. She is required to spend more than 450 minutes on workouts every week.Which system of inequalities can be used to determine the number of drill-based workouts, x, and the number of conditioning workouts, y, that Gianna can complete this week?

Question
solved
general 11 months ago 8785

A partial proof was constructed given that MNOP is a parallelogram. By the definition of a parallelogram, MN ∥ PO and MP ∥ NO. Using MP as a transversal, ∠M and ∠P are same-side interior angles, so they are supplementary. Using NO as a transversal, ∠N and ∠O are same-side interior angles, so they are supplementary. Using OP as a transversal, ∠O and ∠P are same-side interior angles, so they are supplementary. Therefore, __________ and _________ because they are supplements of the same angle. Which statements should fill in the blanks in the last line of the proof? ∠M is supplementary to ∠N; ∠M is supplementary to ∠O ∠M is supplementary to ∠O; ∠N is supplementary to ∠P ∠M ≅ ∠P; ∠N ≅ ∠O ∠M ≅ ∠O; ∠N ≅ ∠P

Question
solved
general 11 months ago 1001

Ms. Jones is ordering pizzas for the school dance. To keep things simple, she plans on only ordering two types, cheese and pepperoni. Each cheese pizza costs $10 and each pepperoni pizza costs $13. The number of cheese pizzas should be more than twice the number of pepperoni pizzas. The school dance budget will allow for no more than $200 to pay for the pizzas. This situation can be modeled by the following system of inequalities.Which of the following statements represents the given situation?

Question
solved
general 11 months ago 6563

The paragraph below comes from the rental agreement Susan signed when she opened her account at Super Video. "All rentals are due back by midnight of the due date as printed on the transaction receipt. Any rental not received by midnight on the day it is due is subject to a late charge of $1.50 for each day it is late. Any rental not returned by the fifth day after the due date will be transferred to a sale. The Customer will then be required to pay the purchase price of the item in addition to five (5) days of late fees. The Customer will not be required to return the product once the total balance is paid." As of today, Susan's movie is currently five days late. She knows that if she doesn't get the movie back tonight, she will be charged $9.99, the purchase price of the movie, plus five days' worth of late fees. A round trip cab ride to the video store will cost about $10. Which of the following statements is true?a.Taking a cab to return the movie is the cheapest action. Susan should call a cab.b.It would cost about the same to keep or return the movie. Susan should keep it.c.Keeping the movie and paying the purchase price and late fees is the cheapest option.d.If Susan returns the movie, she should not have to pay late fees. She should return it.

Question
solved
general 11 months ago 5023