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rosijanka [135]
3 years ago
12

By talking to the sales clerk at the hardware store, you find out that the burglar has two hideouts — the lake house and the cab

in. Given the coordinate plane below, calculate the distances between the store and each hideout. Which hideout is closest to the store?

Mathematics
1 answer:
DaniilM [7]3 years ago
3 0
Cabin is your answer
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If a 12 sided regular polygon rotates about its center at which angle of rotation will the image of the polygon coinside with th
Amanda [17]

Answer: 30 degrees

This is the minimum amount of rotation.

Why this value? Well because 360/12 = 30

Consider a triangle with 3 sides. Specifically I mean an equilateral triangle. We can rotate it 120 degrees to have it line up with itself. Now notice that 360/3 = 120.

For a square, we can rotate it 90 degrees and we can say 360/4 = 90

So the general rule is that the minimum angle of rotation is 360/n, where n is the number of sides. This rule only works for regular polygons. Regular polygons have the same side length and the same angle measure (the side and angle measure won't necessarily be equal).

So going back to this 12 sided dodecagon, we have n = 12 and 360/n = 360/12 = 30 as the minimum angle of rotation. Each 30 degree rotation will have the polygon match up perfectly with its old image. The preimage and image will be identical.

6 0
2 years ago
- Max can read about 150 words per minute. Unfortunately for Max, he has waited until
aleksandrvk [35]

Answer:

B) 12 hours

Explanation

Max can read 150 words per minute. 350 words per page divided by 150 is 2.333, so max can read 1 page in around 2 minutes. There are 310 pages. 2.333 * 310 is around 723. 723 minutes converted to hours is 12 hours. Boom. Done.

8 0
2 years ago
Solve the following system to find the point(s) of intersection. <br> y = x² - 2x - 3<br> y = 2x - 3
omeli [17]

x=4 y=5

if we put two pharases together

the answer is as follows pic :

x=4 y=5

5 0
2 years ago
Graph f (x) = -.25x + 4
Charra [1.4K]

Answer:

what is the question.

I am not understand.

please thanks and follow me.

8 0
2 years ago
3/8<br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B3%7D%7B8%7D%20%28x%20-%201%29%28x%20-%209%29" id="TexFormula1" title=" \fr
Verdich [7]
The first step for solving this expression is to distribute \frac{3}{8} through the first set of parenthesis.
( \frac{3}{8}x -  \frac{3}{8}) × (x - 9)
Now use the FOIL method to multiply each term in the first parenthesis by each term in the second parenthesis. This will look like the following:
\frac{3}{8}x × x - \frac{3}{8}x × 9 - \frac{3}{8}x - \frac{3}{8} × (-9)
Remember that multiplying two negatives together equals a positive,, so the expression changes to:
\frac{3}{8}x × x - \frac{3}{8}x × 9 - \frac{3}{8}x + \frac{3}{8} × 9
Calculate the product of all of the sets of multiplication to make the expression become:
\frac{3}{8}x² - \frac{27}{8}x - \frac{3}{8}x + \frac{27}{8}
Lastly,, calculate the difference of - \frac{27}{8}x - \frac{3}{8}x to find your final answer.
\frac{3}{8}x² - \frac{15}{4}x + \frac{27}{8}
Let me know if you have any further questions.
:)
8 0
2 years ago
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