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bagirrra123 [75]
3 years ago
14

How are similar figures related by a sequence of transformations?

Mathematics
1 answer:
Mamont248 [21]3 years ago
8 0

Answer:

Two figures are similar if and only if one figure can be obtained from the other by a single transformation , or a sequence of transformations, including translations, reflections, rotations and/or dilations. Similarity transformations preserve shape, but not necessarily size, making the figures "similar".

Step-by-step explanation:

similar figures: Two figures that have the same shape are said to be similar. When two figures are similar, the ratios of the lengths of their corresponding sides are equal. To determine if the triangles below are similar, compare their corresponding sides.

sequence of transformation: When two or more transformations are combined to form a new transformation, the result is called a sequence of transformations, or a composition of transformations. Remember, that in a composition, one transformation produces an image upon which the other transformation is then performed.

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One canned juice is 15% orange juice another 10% orange juice. How many liters of each should be mixed together in order to get
Delicious77 [7]
<span>Equation:
0.15x + 0.10(5-x) = 0.11*5
---
Multiply thru by 100:
15x + 10*5 - 10x = 11*5

---
5x = 5
x = 1 liter (amt. 15% oj needed)
----
5-x = 4 liters (amt of 10% oj needed)
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3 0
3 years ago
Don has an album that holds 600 coins. Each page of the album holds 6 coins. If 68​% of the album is​ empty, how many pages are
hodyreva [135]

Answer:

Step-by-step explanation:

7 0
3 years ago
PLEASE HELP ASAP!!!!
musickatia [10]
Let us model this problem with a polynomial function.

Let x =  day number (1,2,3,4, ...)
Let y = number of creatures colled on day x.

Because we have 5 data points, we shall use a 4th order polynomial of the form
y = a₁x⁴ + a₂x³ + a₃x² + a₄x + a₅

Substitute x=1,2, ..., 5 into y(x) to obtain the matrix equation
|   1     1    1    1    1  |  | a₁ |      | 42 |
| 2⁴  2³  2²  2¹  2⁰  |  | a₂ |      | 26 |
| 3⁴  3³  3²  3¹  3⁰   |  | a₃ |  =  | 61 |
| 4⁴  4³  4²  4¹  4⁰   |  | a₄ |      | 65 |
| 5⁴  5³  5²  5¹  5⁰  |  | a₅ |      | 56 |

When this matrix equation is solved in the calculator, we obtain
a₁ =      4.1667
a₂ =  -55.3333
a₃ =  253.3333
a₄ =  -451.1667
a₅ =   291.0000

Test the solution.
y(1) = 42  
y(2) = 26
y(3) = 61
y(4) = 65
y(5) = 56

The average for 5 days is (42+26+61+65+56)/5 = 50.
If Kathy collected 53 creatures instead of 56 on day 5, the average becomes
(42+26+61+65+53)/5 = 49.4.

Now predict values for days 5,7,8.
y(6) = 152
y(7) = 571
y(8) = 1631


3 0
3 years ago
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Can someone help me :(
White raven [17]

Answer:

19 ft.

Step-by-step explanation:

Pytahgorean theorm. A^2 + B ^2 = C^2

49 + 100 = 149

Square root the 149, which is ~12

That means the hypotenuse is twelve feet, and with the base of the pole being seven, the pole was originally 19 feet tall.

4 0
3 years ago
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What is the expression in factored form x^2+13x+42
omeli [17]
The correct answer is (x+6)(x+7). Great job.
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3 years ago
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