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Dennis_Churaev [7]
3 years ago
6

Anyone know this basic geometry question with work

Mathematics
1 answer:
mamaluj [8]3 years ago
4 0

Answer:

3) a translation followed by a reflection

Step-by-step explanation:

First, to get to A'B'C'D', we can see that A is still on top, D is on the right, etc. -- everything is just shifted up and to the right. This signifies a translation as it is simply a shift.

Next, to get to A''B''C''D'', we can see that A'' is now on the right. If this would be a rotation from A'B'C'D', we can visualize it as the shape rotating to the right. B'' would then be on top as it is to the left of A' in A'B'C'D', so if B' would be rotated to the right, it would then go to the top of A''. However, B'' is in the bottom, and D'' is on the top, signifying a flip of what the rotation would be. As this is not a simple shift, the only option left is a reflection.

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3 1/3 + (-2 1/4) + 1 5/6 = ?​
son4ous [18]

Answer: 2 11/12

Step-by-step explanation: 3 1/3+−2 1/4+1 5/6

10/3−2 1/4+1 5/6

10/3−9/4+1 5/6

13/12+1 5/6

13/12+11/6

35/12

2 11/12

3 0
3 years ago
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The ice skating rink charges an hourly fee for skating and $3 to rent skates for the day. Gillian rented skates and skated for 3
Vitek1552 [10]

Answer:

c(x) = 6x + 3

Step-by-step explanation:

c(x) = 6x + 3

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8 0
3 years ago
For each equation, determine whether it has no solutions, exactly one solution, or is true for all values of x (and has infinite
nignag [31]

Answer:

  • Equation 1 has exactly one solution.
  • Equation 2 has infinitely many solutions.
  • Equation 3 has no solution.

Step-by-step explanation:

We are given three equations to solve. First, let's solve the equations for x.

<u>Equation 1</u>

<u />\displaystyle{6x+8=7x+13}\\\\7x + 13 = 6x + 8\\\\x + 13 = 8\\\\\bold{x = -5}<u />

Therefore, we determined that for the first equation, x = -5. We can check our solution by substituting it back into the original equation.

\displaystyle{6(-5)+8=7(-5)+13}\\\\-30 + 8 = -35 + 13\\\\-22 = -22 \ \checkmark

Since we got a true statement, there are no other values of x for which we get a true statement. Let's test this with the opposite value: positive 5.

6(5)+8=7(5)+13\\\\30 + 8 = 35 + 13\\\\38 = 48 \ \text{X}

Therefore, for Equation 1, there is exactly one solution.

<u>Equation 2</u>

<u />6 x + 8 = 2 ( 3 x + 4 )\\\\6x + 8 = 6x + 8\\\\0 + 8 = 8\\\\8 = 8 \ \checkmark<u />

We get a true statement by solving for x (which ends up canceling out of the equation entirely). Therefore, we can check <u>any value</u> in place of x to see if we get a true statement. For this instance, I will use -3.

6(-3) + 8 = 2 ( 3(-3) + 4 )\\\\-18 + 8 = 2(-9+4)\\\\-18 + 8 = 2(-5)\\\\-18 + 8 = -10\\\\-18 = -18 \ \checkmark

We still get a true statement, so Equation 2 has infinitely many solutions.

<u>Equation 3</u>

<u />6 x + 8 = 6 x + 13\\\\0 + 8 = 13\\\\8 \neq 13<u />

We get a false statement. Therefore, Equation 3 has no solution.

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PLEASE SOMEONE HELP WITH THIS AND EXPLAIN IT!
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Answer: x= 11.15

Step-by-step explanation:

Explanation is in the photo attached

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