Area of front triangle: 24.
Area of back triangle: 24.
Area of bottom rectangle: 40.
Area of right/top rectangle: 50.
Area of left rectangle: 30.
Total surface area: 168.
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V= video game's price
.05V= .75
Now divide;
.75÷.05= 15= V
So the videogame equals $15, and let's check to see if we have the correct answer.
15 × .05= .75
The videogame equals $15.
Answer:
Yes, they are congruent. Theorem: SSS
Step-by-step explanation:
The triangles are congruent because it is given that they have 2 sides that are the same (hence the matching tick marks). In the diagram, you can also see that they share a side. Since all three sides on both triangles are the same, the two triangles are congruent by the SSS theorem.
Answer:
(x, y) = (-1, -3) or (4, 12)
Step-by-step explanation:
A graphing calculator can show the solutions to this system.
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You can equate expressions for y and solve for x.
3x = x^2 -4
x^2 -3x = 4 . . . . add 4-3x
x^2 -3x +2.25 = 6.25 . . . . complete the square by adding (-3/2)^2 where -3 is the coefficient of x.
(x -1.5)^2 = 2.5^2 . . . . . . rewrite as squares
x -1.5 = ±2.5 . . . . . . . . . . take the square root
x = 1.5 ± 2.5 = -1, +4
y = 3x = -3, +12, respectively
Solutions are ...
(x, y) = (-1, -3) . . . . and . . . . (4, 12)