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Nastasia [14]
3 years ago
8

ich sequence of transformations would result in a figure that is similar, but not congruent, to the original figure? Select all

that apply. a dilation with a scale factor of 0.6 followed by a translation of 2 units up a reflection across the y-axis followed by a rotation about the origin of 10 a translation 2 units up followed by a translation of 2 units to the left a rotation about the origin of 50° followed by a dilation with a scale factor of 8
Mathematics
1 answer:
n200080 [17]3 years ago
6 0
Translations, reflections, and rotations always result in a figure that is congruent. Only dilations with a scale factor other than 1 will give a similar, but not congruent, figure.

The 1st and 4th selections apply.
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Amelio has 6 more nickels than dimes, and the total value is $2.10. how many nickels does he have?
Nezavi [6.7K]
Amelio have 18 Nickels and 12 dimes!!

2.10−(6×0.05)−(12×0.10)−(12×0.05)= 0
6 0
3 years ago
A decorative window is made up of a rectangle with semicircles at either end. The ratio of AD to AB is 3:2 and AB is 30 inches.
scZoUnD [109]

Answer: The required ratio will be

84:1034

Step-by-step explanation:

Since we have given that

Ratio of AD to AB is 3:2

Length of AB = 30 inches

So, it becomes

2x=30\\\\x=\frac{30}{2}=15\ inches

So, Length of AD becomes

3x=3\times 15=45\ inches

Now, at either end , there is a semicircle.

Radius of semicircle along AB is given by

\frac{30}{2}=15\ inches

So, Area of semicircle along AB and CD is given by

2\times \frac{\pi r^2}{2}\\\\=\frac{22}{7}\times 15\times 15\\\\=\frac{4950}{7}\ in^2

Radius of semicircle along AD is given by

\frac{45}{2}=22.5\ inches

Area of semicircle along AD and BC is given by

2\times \frac{1}{2}\pi r^2\\\\=\frac{22}{7}\times \frac{45}{2}\times \frac{45}{2}\\\\=\frac{445500}{28}\ in^2

And the combined area of the semicircles is given by

\frac{4950}{7}+\frac{445500}{28}\\\\=\frac{465300}{28}\ in^2

Area of rectangle is given by

Length\times width\\\\=AD\times AB\\\\=45\times 30\\\\=1350\ in^2

Hence, Ratio of the area of the rectangle to the combined area of the semicircles is given by

1350:\frac{465300}{28}\\\\=1350\times 28:465300\\\\=37800:465300\\\\=84:1034

Hence, the required ratio will be

84:1034

8 0
3 years ago
How can you tell if a system of equations has infinite solutions?
kirill [66]
To tell if an equation has infinite solutions, the equation will be equal to each other.

For example,

x = x
x + 1 = x + 1
x - y = x - y

And so on...

And in special cases,

0x = 0
0x = 0(y + 1)

They have infinite solutions because there's no constant to determine the variable.
4 0
3 years ago
Add 5y - 9 and 2 - 5y
levacccp [35]

Answer:

10y-11

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Three numbers are in an arithmetic progression with a common difference of 6. if 4 is subtracted from the first number, 1 is sub
UkoKoshka [18]

Answer:

  either of {-9.5, -3.5, 2.5} or {7, 13, 19}

Step-by-step explanation:

Let x represent the first number of the arithmetic sequence. Then the second number is x+6, and the third number is x+12. The geometric sequence is then ...

  (x -4), (x +5), 3(x+9)

The common ratio is then ...

  (x +5)/(x -4) = 3(x +9)/(x +5)

Cross-multiplying gives ...

  (x +5)² = 3(x -4)(x +9)

  x² +10x +25 = 3x² +15x -108 . . . . eliminate parentheses

  0 = 2x² +5x -133 . . . . . . . . . . . . . . subtract the left side

  0 = (2x +19)(x -7) . . . . . . . . . . . . . . factor

  x = -9.5 . . or . . 7

The possible original three numbers are ...

  {-9.5, -3.5, 2.5} . .  or . . {7, 13, 19}

8 0
3 years ago
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