Answer:
The area of the figure is 28 units².
Step-by-step explanation:
Find the area of the full rectangle, ignoring the triangle.
Then, find the area of the triangle:
Finally, subtract:
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The area of a triangle can be calculated using the formula
1/2 (base) (height)
Let's substitute our known values, letting x represent the value of the height of the triangle.
16 = 1/2* x* 2x
Let's Simplify!
16 = x^2
Finally, lets take the square root of both sides, to get rid of the exponent on the right side of the equation.
x= positive OR negative 4.
However, because x is equal to the height, we know that it can't be negative, so we know that it is positive 4.
The height of the triangle = 4 inches
The base of the triangle = 2h = 8 inches
Answer:
x = 20
Step-by-step explanation:
(3x + 50) = (6x - 10)
Subtract 6x on each side
3x + 50 - 6x = -10
Combine the x values together
-3x + 50 = -10
Subtract 50 on each side
-3x = -60
Divide each side by -3
x = 20
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