9514 1404 393
Answer:
WX = 33
(x, y) = (2, 10)
Step-by-step explanation:
The hash marks tell you WX is a midline, so has the measure of the average of the two bases.
WX = (PQ +SR)/2 = (27 +39)/2 = 66/2
WX = 33
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The hash marks also tell you ...
PW = WS
y +4x = 18 . . . . . . substitute the given expressions
and also
QX = XR
2y +x = 22 . . . . . substitute the given expressions
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If you solve the first equation for y, you get ...
y = 18 -4x
Substituting that into the second equation gives ...
2(18-4x) +x = 22
36 -7x = 22 . . . . . . . simplify
14 = 7x . . . . . . . . . . . add 7x-22 to both sides
2 = x . . . . . . . . . . . . divide by 7
y = 18 -4(2) = 10 . . . find y using the above relation
The values of x and y are 2 and 10, respectively.
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My favorite "quick and dirty" way to solve a set of linear equations is using a graphing calculator. It works well for integer solutions.
Answer:

Step-by-step explanation:
A rectangular prism is a polyhedron with six rectangular faces. The volume of a prism is given by:
Volume = width * height * length
From the diagram, the rectangular prism is made up of cubes. Each cube is has a size of 1/3 ft by 1/3 ft.
The height of the prism is made up of 5 cubes. Height = 5 * 1/3 = 5/3 ft.
The length of the prism is made up of 3 cubes. length = 3 * 1/3 = 1 ft.
The width of the prism is made up of 2 cubes. Width = 2 * 1/3 = 2/3 ft.
The volume of the prism = width * height * length = 2/3 * 5/3 * 1 = 10/9 ft³ = 
12x - 18 - 4x -2
12x - 4x = 8x (yours 12x - 4x = 8)
-18 - 2 = -20 (yours -18 -1 = 17)
answer:
8x - 20
Answer:
8.6E23
Step-by-step explanation: