Answer:
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- <u><em>The length of the image of the segment GH would be 5 units.</em></u>
Explanation:
You can use the <em>center of dilation</em> as your origin of coordintes.
Thus, the <em>point H</em> would have coordinates (0,0) and the <em>point G</em> (-1,0).
A <em>dilation</em> multiplies the coordinates by the <em>scale factor</em>. Hence:
- H = (0,0) → H' = 5 × (0,0) = (0,0)
- G = (-1,0) → G] = 5 × (-1, 0) = (-5, 0)
Thus, the length of the image of segment GH would be the distance from 0 to -5 in a number line, which is 5.
Answer:
x = 35°
Step-by-step explanation:
These are corresponding angles. When a transversal crosses 2 parallel lines, 4 angles are created at each intersection, and each pair of corresponding angles between those are congruent.
These angles are congruent, so you can set them equal to each other:

Then, just solve for x:

You can check that by plugging it back into both:

It is easier to compare a positive number and a negative number because it’s just like regular adding
According to the problem, the length is 2 feet more than its width, which is expressed as the following function

If the width is x, then the length is x+2.
We can express the following function for the area

Let's replace the width x = 11 ft.

<h2>Hence, the area is 143 square feet. </h2><h2>The function for the area is</h2>

Where x represents the width.