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erastova [34]
3 years ago
10

Based on the similar triangles shown below, Theodore claims that ∆TUV is transformed to ∆WXY with a scale factor of 32. Is Theod

ore correct? Yes, the triangles are similar with a scale factor of 32. No, the triangles are similar with a scale factor of 21. No, the triangles are similar with a scale factor of 23. No, the triangles are similar with a scale factor of 43.

Mathematics
1 answer:
vazorg [7]3 years ago
3 0

Answer:

No, the triangles are similar with a scale factor of ⅔

Step-by-step explanation:

Given that ∆TUV was transformed to ∆WXY, it means the original lengths of ∆TUV were multiplied by a scale factor that reduced the lengths of ∆TUV to get the lengths of ∆WXY.

AA scale factor of ³/2 will increase the lengths rather than reduce it.

Therefore, the scale factor that was used was ⅔.

Thus, ⅔ of UT will give you the size of XW. Check it out below:

UT = 12, therefore, ⅔*12 = 8.

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"A cylindrical canister contains 3 tennis balls. Its height is 8.75inches, and its radius is 1.5. The diameter of one tennis bal
puteri [66]
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Find Volume of 1 tennis ball:
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Volume of 1 tennis ball = 4/3 x 3.14 x (2.5 ÷ 2)³

Volume of 1 tennis ball = 8.18 in³

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Find Volume of 3 tennis balls:
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Volume of 3 tennis balls = 8.18 x 3 = 24.54 in³

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Find Volume of teh cylindrical canister:
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Volume of the cylindrical canister = 3.14 x 1.5² x (2.5 x 3)

Volume of the cylindrical canister = 52.99 in³

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Find unoccupied space:
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Unoccupied space = 52.99 - 24.54

Unoccupied space = 28.45 in³

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Answer: 28.45 in³
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8 0
3 years ago
Read 2 more answers
Solve for x
ludmilkaskok [199]

Answer:

x = 3/4

Step-by-step explanation:

Step 1: Write equation

5x - 2(x + 1) = 1/4

Step 2: Solve for <em>x</em>

  1. <u>Distribute -2:</u> 5x - 2x - 2 = 1/4
  2. <u>Combine like terms:</u> 3x - 2 = 1/4
  3. <u>Add 2 to both sides:</u> 3x = 9/4
  4. <u>Divide both sides by 3:</u> x = 3/4

Step 3: Check

<em>Plug in x to verify it's a solution.</em>

5(3/4) - 2(3/4 + 1) = 1/4

15/4 - 2(7/4) = 1/4

15/4 - 14/4 = 1/4

1/4 = 1/4

3 0
3 years ago
35 x 30 = 35 x ____tens, <br> ____=____tens, <br> ___=____.
JulsSmile [24]

3 tens , 105 tens , 1050

6 0
2 years ago
Can someone plz help with this asap
Lera25 [3.4K]

Answer:

Horizontal lines are parallel to the x-axis

The answer is the second option

6 0
3 years ago
Need help with number 43 and 45 and need to show the work
Alex787 [66]
43:
       Negative temperatures are basically the same as normal ones, although they go below zero, so they are still the same distance apart from zero, just on the left side of the number line.

      To find the answer find the difference between 30.5°C and 0 (which is 30.5).

      Next, find the difference between -122.2°C and zero (122.2)

       Finally, add 122.2 + 30.5 to find the total distances from the zero combined for the full distances apart from each other.

     (We add them because -122.2 to the left of zero, and 30.5 is on the right)

      You should get 152.7 as your answer.

45:
     I'm guessing since it is asking for the deepest point (-5315) from sea level (0), the answer is -5,315 feet

     *Remember 5,315 is negative because numbers below sea level are all negative*

     So the answer should be -5,315 feet deep. (I'm not sure how to show your work for that I'm guessing it is 0 - 5,315 at the slightest).

 *Hope this all helped :)*

5 0
2 years ago
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