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- Find the slpoe of the line: y=7Simplify. 4m2 + 4m 1) 8m2 + +12m3. CAR WASH To raise money for their rowing club, Halima, Aisha, and Fatima are advertising a car wash at three different street corners in a neighborhood. On a map, the coordinates for the corners are (3, 15), (6, 4), and (11, 9). Each unit represents 0.5 kilometer. What is the area of the neighborhood in which they are advertising?
- 3. MNOP is a parallelogram. Find the value of x. (5x-8) 3x x+24) 5x- 8- х+24 4x = 16 X 4 4. Find OQ. Explain. because MNOP is a parallelogram and the each other, so MQ = 0Q. %3D of a parallelogram enVision Geometry Teaching ResourcesAngel placed a rectangular photograph on a page of the yearbook. Rectangle ABCD, shown on the coordinate grid below, represents the location of the photograph on the yearbook page. A D B C y A 12 11 10 9 8 -7 6 5 4 3 2- 1 -12-11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 -1 -2 -3 -4 -5 -6 -7 -8 -9. -10 -11 -12- 1 2 3 4 5 6 7 8 9 10 11 12 Angel dilates the photograph, rectangle ABCD, by a scale factor of with the center of dilation at the origin to form rectangle A'B'C'D' and then translates rectangle A'B'C'D' 3 units down to form rectangle A"B"C"D". What are the coordinates of vertex D"? Use the number pad to enter your answers in the boxes. D" (,)If the two adjacent sides of a rectangle are always on the legs of a triangle, what is the length of the longer side of the largest rectangle? Refer to the figure below. (a.) 2 6m (b.) 3 8m (c.) 4 (d) 5
- Ramona's backyard is fenced and represented by parallelogram YARD with measures in meters. She installed a 12-meters fence to separate a gardening area and a small petting zoo she has for her kids. She will have another fence installed in the petting zoo area to separate the goats from the bunnies. She marked the fencing line and it is represented by x in the diagram below. 15 12 Which of the following represents the length of the new fence?10x3 5.) d.x6b. Show solution.
- 5. On a street map, the coordinates of two fire stations in a town are A(10, 63) and B(87,30). A neighbor reports smoke coming from the kitchen of a house at C(41, 18). Which fire station is closer to this house?B. Find the value of each variable in the parallelogram. SHOW THE COMPLETE SOLUTION. 1. 2. 3x +3 y 9x + 15 4x – 4 19 16x + 15 3. 4y – 5 x + 3 4x 2y + 1 5y -6 67Given a three points A(3, -3, 5); B(2, -3, 0); and C(2, 4, 6). Find the Area of triangle and the Perimeter of a triangle a. 23.506 sq. units; 21.460 units b. 32.920 sq. units; 21.460 units c. 18.206 sq. units; 14.319 units d. 18.206 sq. units; 21.460 units