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If RS=44 and QS=68, Find QR

Find the distance between the point (1,4) and (-2,-1)

Find the midpoint of segment with endpoints (9,8) and (3,5)

ABC is right Triangle AB =

Find the distance between the points (1,-8)and(-7,-2)
A store sells custom-made stands for tablet computers. When an order comes in, the customer specifies the angle at which the stand should hold the tablet. Then an employee bends a piece of aluminum to the correct angle to make the stand . The figure shows the templates that the employee uses to make a 60° stand and a 40° stand. 40 The store receives an order for a 50stand. The employee does not have a template for a 50" stand and does not have a protractor . Can the employee use the existing templates and a compass and straightedge to make a template for a 50^ - so, explain how and show the steps the employee should use. If not explain why not.

A store sells custom-made stands for tablet computers. When an order comes in, the customer specifies the angle at which the stand should hold the tablet. Then an employee bends a piece of aluminum to the correct angle to make the stand . The figure shows the templates that the employee uses to make a 60° stand and a 40° stand. 40 The store receives an order for a 50stand. The employee does not have a template for a 50" stand and does not have a protractor . Can the employee use the existing templates and a compass and straightedge to make a template for a 50^ - so, explain how and show the steps the employee should use. If not explain why not.


A software designer is mapping the streets for a new racing game. All of the streets are depicted as either perpendicular or parallel lines. The equation of the lane passing through A and B is -7x + 3y = -21.5. What is the equation of the central street PQ?

Using a ruler and a pair compasses only construct

i. triangle GBC with angle GBC 30 degrees. , |BC| = 9.5 , AND |BG| = 12 CM.

ii. L1 the locust of points 6cm from C

ii. L2 the perpendicular from C to BG

iii. Locate A and D point of intersection of L1 and GB,

iv. Measure |AD| and angle ACD


y is between x and z. t is between y and z. if xz= 82, yt=22, and xy=tz. what is tz?
In the diagram, points V, W, X, Y, and Z are collinear, VZ = 52, XZ = 20, and WX = XY = YZ. Find the indicated length.



WX =

VW =

WY =

VX =

WZ =

VY =

Suppose Q is the midpoint of segment PR. PQ = 2x + 1 and QR = 5x - 44. Find PQ.


A triangle has vertices A(-1, 2), B(4, -4), and C(1, 2). Show, using analytic geometry, that the centroid divides each median in the ratio 2:1
A circle is placed in a square with a side length of 8cm, as shown below. Find the area of the shaded region.
Use the value 3.14 for π, and do not round your answer. Be sure to include the correct unit in your answer.