In order for two linear lines to be perpendicular, the product of their gradient must be -1.
Let's take y = x + b and y = -x + b
This is already in the form: y = mx + b, where m is 1 and -1 respectively.
Since the product of their gradient is -1, they are said to be perpendicular.
When a shape is rotated, it must be rotated around a point.
<em>See attachment for the image of each rotation.</em>
To do this, the top coordinates of the X shape will be transformed using the appropriate rotation rule; the same rule will then be applied to the other parts of the X shape.
The top coordinates of the X shape are:




For 90 degrees counterclockwise rotation, the rule is:

So, we have:




For 180 degrees rotation, the rule is:

So, we have:




For 270 degrees counter rotation, the rule is:

So, we have:




See attachment for the image of each rotation
Read more about rotations at:
brainly.com/question/1571997
Well if its between 10 & 20 take the median which is 15 and multiple it by the about of days which is 56 and you get 840 dollars <span />
The total area of the composite figure is 176 ft
<h3>How to find the area of a composite figure?</h3>
The area of a composite figure can be found as follows;
Therefore,
Total area = area of rectangle + area of triangle
area of rectangle = lw
where
Therefore,
area of a rectangle = 16 × 8
area of a rectangle = 128 ft²
area of triangle = 1 / 2 bh
where
Therefore,
area of triangle = 1 / 2 × 12 × 8
area of triangle = 48 ft²
Total area of the composite figure = 48 + 128 = 176 ft
learn more on composite figure here: brainly.com/question/12315384
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a.) The height of the closet is 96 inches, and you want to have 4 rows, so you divide the total height 96 by 4
96 ÷ 4 = 24
So each cube organizer can be a height of 24 inches since it divides out evenly
b.) Each shoe box is 4 1/2 inches, because there are 3 boxes that are stacked on top of each other, you can multiply 4 1/2 by 3, or you can do 4 1/2 + 4 1/2 + 4 1/2.
4 1/2 + 4 1/2 + 4 1/2 = 12 3/2 = 13 1/2
The total height of the 3 boxes is 13 1/2