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4. In the following two sketches you will see two students perform a translation in two different ways. In order to find the translated triangle, each student is using a different property of translation which is not explicitly stated in the definition of translation. Explain which property each student is using and why the performed procedure yields the desired triangle. triangle.Would the same processes be useful if we were looking for an image of a figure under rotations or reflections? Explain why or why not.


Convert the vector equation below into an augmented matrix and solve the system (if it is consistent).


You have been hired to design the water arc of a coin fountain. The pool of the fountain is 20 feet wide, and the water arc is to be greater than 6 feet tall, but less than 50 feet. You will need to determine the locations of the launch point and landing points and the maximum height of the arc.Also, you will need to write an equation that describes the water arc in terms of its height in relation to the horizontal distance along the pool. 1. Place the side view of your fountain in a first quadrant graph. Have the surface of the pool correspond to the x-axis with the left side at the origin. Show the coordinates of the roots and vertex,and include all pertinent data points from the following questions.


7. Convert your original equation from quadratic form to vertex form, y=a(x-h)^{2}+k


Given is a construction procedure for copying a triangle. Cona. Follow it to copy ARST. (i) Draw a ray and copy segment RS of the triangle Call the copy DE. (ii) Draw and arc with center D and radius RT. (iii) Draw an arc with center E and radius ST. this arc should Intersect the arc drawn in step 2. Call the intersection point F. (iy) With a straightedge, connect points D and F and point E and F. b. Write a justification of the construction procedure. (Think triangle congruence from earlier in the chapter.)


Can the triangles in the following two questions/problems be proved congruent? If so, by which method (possible choices are SSS, SAS, ASA, AAS, or HL)?


The diagram shows a rhombus ABCD in which the point A is (-1, 2), the point C is (5, 4)and the point B lies on the y-axis. Find(i) the equation of the perpendicular bisector of AC,[3] (ii) the coordinates of B and D,(iii) the area of the rhombus.


2. Nissam is baking brownies in this pan shown. The recipe calls for a 12-inch square baking pan filled 4 inches deep. Will the batter fit in Nissam's pan? Justify your answer. (1 inch = 2.54 cm)


A factory is to be built on a lot measuring 150 ft by 200 ft. A local building code specifies that a lawn of uniform width and equal in area to the factory must surround the factory. What must the width of this lawn be, and what are the dimensions of the factory? Final answer with rough solution required.


illa Glass rch engine for X à A Amplity Curriculum savvasrealize.com/assignments/viewer/classes/1f7c4d67c18c40b28b70bb2a42372fb5/assignments/1bd3027ba3df4391 A Practice Buddies and Videos Classwork for Wallace HR 2022 x Savvas Realize 2. Practice Buddy Independent 6 Surface Area of Prisms: Visual 7 Surface Area of Pyramids: ✓ Completed Progress 2.JP-3 Find the surface area of the prism. The surface area is Review Progress 9m Enter your answer in the answer box and then click Check Answer. All parts showing 7 m X + 3 m Clear All acer 8 Surface Area of Pyramids: Visual Learning - Question


9. Two ladders AB and PQ are resting against opposite walls of an alley. The ladders AB and PQ are 2 m and 6 m above the ground respectively and T is the point where the 2 ladders meet. (i) Given that ATBP is similar to ATAQ, find an expression, in terms of y, for the length of PA. (ii) Given that APTM is similar to APQA, find the length of TM. B 2 m P ym T M xm- Q 6 m A


Diagram 6(a) shows the front view of a door. 8.5 BAC is part of the graph y=9-- the surface area of the door. 0.5 Rajah 6(a) / Diagram 6(a) feets /feets A is the highest point from DE. Find 6 [3 markah/marks]


Question 1 Save Answer 10 points How many rolls of joint tape would be needed to cover a 16' high by 48' long wall that has been covered with sheetrock, if 0.13 rolls of joint tape can cover 100 ft² of sheetrock? Round your answer up to the nearest whole roll. OA. 1 roll OB. 2 rolls OC. 3 rolls O D. 4 rolls


Question 3 10 points Which number below is closest to the number of tons of hot mix asphalt (HMA) that would be needed to pave a 200' x 300' parking lot, if the HMA will be placed 2-1/2" thick and its density is 2 tons per cubic yard? OA.90 tons O B.930 tons OC. 1,500 tons OD. 2,000 tons Save Ansv


Question 6 10 points How many sheets of drywall would be needed to to cover a 16' high by 48' long wall, if the drywall is available in 4' wide by 8' long sheets? O A. 12 sheets OB. 16 sheets OC. 24 sheets O D. 32 sheets


10 points Save Answer Question 9 How many bundles of wood flooring are needed to cover a 12'-3" x 10'-6" floor (twelve foot three inch by 10 foot six inch floor) if one bundle of wood can cover a 20 ft2 area? Include 10% for waste. Round your answer up to the nearest whole bundle. OA. 4 bundles OB. 6 bundles O C. 8 bundles OD. 10 bundles


uestion 10 Save Answer 10 points How many 6" x 6" ceramic tiles would be needed to cover the floor of a 6' x 8' restroom? Include 10% for waste. Round your answer up to the nearest whole number. O A. 192 tiles O B. 200 tiles O C. 212 tiles O D. 500 tiles


Given ARST with a point U inside such that ZRST ZRTS = 42°. and ZRSUZSRU=18°. Find ZUTS. S U R T


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