Geometry

The coordinate of point X on PQ that is 2/3 of the distance from P to Q is ____

-5-7= -12= 12 -----> 12(2/3)= 8 ---> 5+8= 3

Three pins are inserted into a cork mat at points C, E and D. The three pins are collinear. How far is the pin at C from the pin at D?

1.1 + 2.7 = 3.8

Three pins are inserted into a cork mat at points C, E and D. The three pins are collinear. How much farther is the pin at E from the pin at D than the pin at C?

2.7 - 1.1 = 1.6

Kendra needs to have saved $225 by April to buy her prom outfit. Kendra figures that the $90 she has in her checking account is 2/5 of what she needs.

225(2/5)=90 So true

what is the length of AZ? A is between Y and Z, Y A= 24, AZ= 15x, and YZ= 189

24+15x= 189-24---> 15x=165÷15=11---> 15•11= 165

If PQ ~ QR, with PQ = 3x-7, QR = 2x + 2, and RS = x+9

3x-7 = 2x+2 -2 -2 -----> 1x-7 = 2+7 ----> 1x = 9÷1 = 9 -----> 2•9 +2 = 20

B is between A and C. AB = 4x+7 BC = 20x-5 and AB ~ BC

4x+7 = 20x-5 -4x -4x ----> 7= 16x-5 +5 +5 ----> 12= 16x ----> 12÷16 = 0.75

What is the length of RS, when R is the midpoint of PS?

7x-5 = 4(x+1) ----> 7x -5 = 4x +4 -4x -4x ------> 3x-5 = 4 +5 +5 ------> 3x = 9÷3 = 3

Nate wants to visit his friend Mac before going to the park. Nate's house is located at (-4, 4), while the park is located at (8, 6). Find the location of Mac's house if it is 1/2 of the distance from Nate's house to the park.

X+X÷2= -4+8÷2= 4÷2= 2 Y+Y÷2= 4+6÷2= 10÷2= 5 = (2, 5)

On a number line M is located a -7 and N is located at 4. The midpoint of MN is located at ____

X+X÷2= -7+4÷2= -3÷2= -1.5