Below are two parallel lines with a third line intersecting them
2 answers:
Answer:
x = 122°
Step-by-step explanation:
Two parallel lines with a third line intersecting them are called a transversal.
The two angles shown in the picture, x and 122° are alternate interior angles.
Alternate angles are a pair of angles that are on the inner side of each of the two lines but are on opposite sides of a transversal.
These are really similar to vertically opposite angles!
All alternate angles have the same value, thus x = 122°.
You can also see that alternate angles are like corresponding angles and vertically opposite angles combined!
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If we let x and y represent length and width, respectively, then we can write equations according to the problem statement.
.. x = y +2
.. xy = 3(2(x +y)) -1
This can be solved a variety of ways. I find a graphing calculator provides an easy solution: (x, y) = (13, 11).
The length of the rectangle is 13 inches.
The width of the rectangle is 11 inches.
______
Just so you're aware, the problem statement is nonsensical. You cannot compare perimeter (inches) to area (square inches). You can compare their numerical values, but the units are different, so there is no direct comparison.
.. x = y +2
.. xy = 3(2(x +y)) -1
This can be solved a variety of ways. I find a graphing calculator provides an easy solution: (x, y) = (13, 11).
The length of the rectangle is 13 inches.
The width of the rectangle is 11 inches.
______
Just so you're aware, the problem statement is nonsensical. You cannot compare perimeter (inches) to area (square inches). You can compare their numerical values, but the units are different, so there is no direct comparison.
Answer:
<h2>Step-by-step explanation:
f(x) = 2x + 4
g(x) = 4x² + 1
In order to find (g ∘ f)(0) we must first find
(g ° f )(x)
To find (g ° f )(x) substitute f(x) into g(x) that's for every x in g(x) replace it with f(x)
That's
<h3>We have
<h3>Now to find (g ∘ f)(0) substitute the value of x that's 0 into (g ∘ f)(0)
We have
<h3>We have the final answer as
<h3>Hope this helps you