If there are twelve angles created, almost all of them are congruent. All the sides have to equal 180. If there are three parallel lines they must have 2 angles on each side. 3*2=6, there is a total of six with a measure of 48.
<span>Parallelogram area = height ×<span> base
</span></span>
If the base is multiplied by 3/4 then the area is decreased by 3/4.
Answer: B
Step-by-step explanation:
The slope-intercept is usually written as y = mx + b form, where m is the slope, and b is the y-intercept. The y-intercept is the y value when x is equal to 0.
We can first eliminate C, because the y-intercept of the graph is 1.
To solve for slope, which is the m, choose two points, (-1, 5) and (1, -3).
Slope = (y2 - y1) / (x2 - x1)
= (-3 - 5) / (1 - (-1))
= (-3 - 5) / (1 + 1)
= -8/2
= -4
Plug in the slope and y-intercept, we get y = -4x + 1
Answer:
- sum: 3x² -4x -4
- product: (x -2)(3x +2)
Step-by-step explanation:
The areas of four regions are given. We can simply add them to find the sum. To express them as a product, we need to look at common factors.
<h3>Sum</h3>
The total of the given area expressions is ...
3x² +2x -6x -4 = 3x² -4x -4 . . . . sum
<h3>Product</h3>
Extending the table to show common factors of each row and column, we have ...

Since each cell of the table is the product of the corresponding common factors, we can write the area as the product ...
(x -2)(3x +2) . . . . product
Answer:
see explanation
Step-by-step explanation:
If f(x) and g(x) are the inverses of each other, then
f(g(x)) = g(f(x)) = x
f(g(x)) = f(x -
) = x -
+
= x
g(f(x)) = g(x +
) = x +
-
= x
Hence f(x) and g(x) are the inverse of each other