The two posts are parallel lines. The ground is a transversal.
The angles measuring 4x and 75 are same side interior angles, so they are supplementary. Their measures add up to 180.
4x + 75 = 180
4x = 105
x = 26.25
Check the picture. There are 2 interior common tangents, and 2 exterior common tangents which can be drawn.
Answer: 4
If the side lengths are all 6 units, then the surface area and volume are the same
surface area = 6*s^2 = 6*6^2 = 216
volume = s^3 = 6^3 = 216
You can find this by solving s^3 = 6s^2 for s to get s = 0 or s = 6. The solution s = 0 is trivial so you can ignore it.
The location of the y value of R' after using the translation rule is -10
<h3>What will be the location of the y value of R' after using the translation rule? </h3>
The translation rule is given as:
(x + 4, y - 7)
The pre-image of R is located at (-17, -3)
Rewrite as
R = (-17, -3)
When the translation rule is applied, we have:
R' = (-17 + 4, -3 - 7)
Evaluate
R' = (-13, -10)
Remove the x coordinate
R'y = -10
Hence, the location of the y value of R' after using the translation rule is -10
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5x+25 final answer is x=5