Carolyn is making a quilt using blocks like the one shown below. All the shaded squares are the same size and all th shaded triangles are the same size. What is the total area of all the shaded pieces of the quilt block? Question solved general 8 months ago 3907
Gina wrote the following paragraph to prove that the segment joining the midpoints of two sides of a triangle is parallel to the third side: Given: ΔABC Prove: The midsegment between sides Line segment AB and Line segment BC is parallel to side Line segment AC. Draw ΔABC on the coordinate plane with point A at the origin (0, 0). Let point B have the ordered pair (x1, y1) and locate point C on the x-axis at (x2, 0). Point D is the midpoint of Line segment AB with coordinates at Ordered pair the quantity 0 plus x sub 1, divided by 2. The quantity 0 plus y sub 1, divided by 2 by the Midpoint Formula. Point E is the midpoint of Line segment BC with coordinates of Ordered pair the quantity x sub 1 plus x sub 2, divided by 2. The quantity 0 plus y sub 1, divided by 2 by the Midpoint Formula. The slope of Line segment DE is found to be 0 through the application of the slope formula: The difference of y sub 2 and y sub 1, divided by the difference of x sub 2 and x sub 1 is equal to the difference of the quantity 0 plus y sub 1, divided by 2, and the quantity 0 plus y sub 1, divided by 2, divided by the difference of the quantity x sub 1 plus x sub 2, divided by 2 and the quantity 0 plus x sub 1, divided by 2 is equal to 0 divided by the quantity x sub 2 divided by 2 is equal to 0 When the slope formula is applied to Line segment AC the difference between y sub 2 and y sub 1, divided by the difference of x sub 2 and x sub 1 is equal to the difference of 0 and 0, divided by the difference of x sub 2 and 0 is equal to 0 divided by x sub 2 is equal to 0, its slope is also 0. Since the slope of Line segment DE and Line segment AC are identical, Line segment DE and Line segment AC are parallel by the Parallel Postulate. Which statement corrects the flaw in Gina's proof? The coordinates of D and E were found using the slope formula. Segments DE and AC are parallel by definition of parallel lines. The coordinates of D and E were found using the Distance between Two Points Postulate The slope of segments DE and AC is not 0. Question solved general 8 months ago 3460
Nelson Mandela was a South African politician known for fighting racism and inequality. He was president of South Africa until he stepped down in the year 199919991999. Let xxx represent any year. Write an inequality in terms of xxx and 199919991999 that is true only for values of xxx that represent years after the year that Nelson Mandela stepped down from his presidency. Question solved general 8 months ago 7008
Mrs. Byrne's class went raspberry picking. The data show the weights of the cartoons of raspberries the students picked. Make a tally table and a line plot to show the data. 3/4, 1/4, 2/4, 4/4, 1/4, 1/4, 2/4, 3/4, 3/4 Question solved general 8 months ago 1251
Sal exercised by stretching and jogging 5 days last week. He stretches for a total of 25 minutes during the week. He jogged for an equal number of minutes each of the 5 days. He exercised for a total of 240 minutes. Elena also exercised by stretching and jogging 5 days last week. She stretched for 15 minutes each day. She jogged for an equal number of minutes each of the 5 days. She exercised for a total of 300 minutes Determine the number of minutes Sal jogged each day last week and the number of minutes Elena jogged each day last week. Question solved general 8 months ago 7294
Yesterday it took 5 cleaners 4 and 1/2 hours to clean all the rooms in a hotel. There are only 3 cleaners to clean all the rooms in the hotel today. Each cleaner is paid £8.20 for each hour or part of an hour they work. How much will each cleaner be paid today? Question solved general 8 months ago 5797
Identify a possible first step using the elimination method to solve the system and then find the solution to the system. 3x + 2y = 24 6x + 2y = 30 Question solved general 8 months ago 8377
50 points!!!A system of equations is shown below:6x − 2y = 3 (equation 1)5x + 3y = 4 (equation 2)A student wants to prove that if equation 2 is kept unchanged and equation 1 is replaced with the sum of equation 1 and a multiple of equation 2, the solution to the new system of equations is the same as the solution to the original system of equations. If equation 2 is multiplied by 1, which of the following steps should the student use for the proof? Show that the solution to the system of equations 10x + y = 7 and 5x + 3y = 4 is the same as the solution to the given system of equations Show that the solution to the system of equations 10x − 2y = 7 and 5x + 3y = 4 is the same as the solution to the given system of equations Show that the solution to the system of equations 11x − y = 7 and 5x + 3y = 4 is the same as the solution to the given system of equations Show that the solution to the system of equations 11x + y = 7 and 5x + 3y = 4 is the same as the solution to the given system of equations Question solved general 8 months ago 4751
Ben bought the enormous box of juice shown below. He drinks 450450450 cubic centimeters of juice each day. How many days does it take Ben to drink the box of juice? Question solved general 8 months ago 7695
your drapery business has just gotten a new client who needs 4 drapes. each one will need to be 8 feet by 5 feet and you must add an additional 6 inches on top and bottom for a hem. the customer has chosen the fabric but the store only has 6 linear yards of material. is that enough to make all the drapes? why or why not? Question solved general 8 months ago 4493
Jennifer made 5 L of punch for her party.her brother made another 750 mL.if they combine the two batches,how many 180 mL servings would they have?would there be any punch left over?if so,how much Question solved general 8 months ago 3473
in right triangle abc with the right angle c , sinA = 2x + 0.1 and cosB = 4x - 0.7 determine and state the value of X . explain your answer Question solved general 8 months ago 3666
Two points on the same side of the tree are 65 feet apart. The angles of elevation to the top of a 10.5 foot tree are 21˚19’ from one point and 16˚20’ from the other point. Find the distance from the tree to the closest point Question solved general 8 months ago 4219
Ninety-three percent of a town’s population own cars. If the number of cars owned is 5,208, what is the population of the town, if nobody owns more than 1 car?PLEASE HELP, I DON'T GET THIS!! :(( Question solved general 8 months ago 2487
An astronaut drops a rock into a crater on the moon. The distance, d(t), in meters, the rock travels after t seconds can be modeled by the function d(t)=0.8t^2 . What is the average speed, in meters per second, of the rock between 5 and 10 seconds after it was dropped? Question solved general 8 months ago 6117
John needs to paint one wall in his school. He knows that 1 can of paint covers an area of 24 square feet. John uses a meter stick to measure the dimensions of the wall as shown.[1 meter = approximately 39 inches]What is the fewest number of cans of paint John can use to paint the wall? Question solved general 8 months ago 7263
Which of the following inequalities matches the graph?A) x <(or equal to) -1B) x >(or equal to) -1C) y <(or equal to) -1D) y >(or equal to) -1 Question solved general 8 months ago 4873
Help me please!! Joe went to a fast food restaurant and bought 4 orders of fries and 2 burgers for $14. Becca went to the same fast food restaurant and bought 3 orders of fries and one burger for $9.Question:Write a system of equations that models this situation. Let x represent orders of fries and y represent burgers. Question solved general 8 months ago 3977