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Aleks [24]
3 years ago
13

The smaller triangle is the image of the larger triangle after a dilation. The center of the dilation is (4,2).

Mathematics
1 answer:
vlabodo [156]3 years ago
8 0

Answer:

-1/3

Step-by-step explanation:

Take the ratio of the corresponding sides to get the scale factor so for this equation let's use the hypotenuse.

The length of the hypotenuse of the larger triangle is 12 units and the smaller triangle's hypotenuse is 4 so 4/12 is the scale factor.

However 4/12  can be simplified down to 1/3.

Since the smaller triangle has been flipped upside down the scale factor is negative so the final answer is -1/3

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5 is the correct answer
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Which statement describes how to solve 3x+4 = 3x +4?
Kitty [74]

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Find surface area of rectangular prism
DIA [1.3K]

Answer:

806 yd sq.

Step-by-step explanation:

Area=(length)(width), so to find the surface area you can just find the area of each side and then add then all together.

They already gave you the length of some of the sides, so you should use that to help you find the length of all the sides.

You can see the entire prism's length is 17 yd, width is 4 yd, and height is 14 yd.

The large visible side's area would be (14)(17)= 283 yd. There's another one of these side's on the other side that we can't see. So we would do (283)(2) = 566 yd sq.

Next, we'll find the area of the side on the side by doing (14)(4)=56. Once again, there's two of these sides so we do (56)(2) to get 112 yd sq for this side.

Finally, we'll find the area of the top side. We can do (4)(17) =68, and then (68)(2) to get 138 yd sq.

Now, we have the area of each side of the prism! To find the total surface area, just add them all together. 556+112+138=806.

The surface area would be 806 yd sq.

5 0
2 years ago
Let K and T be the current ages of two siblings, Katie and Thomas. Katie is currently twice the age of Thomas. In 6 years, Katie
Pavlova-9 [17]

Answer:

Katie is 6 years old and Thomas is 3 years old

Step-by-step explanation:

Given that we should let K and T be the current ages of two siblings, Katie and Thomas.

If Katie is currently twice the age of Thomas then,

K = 2T

and in  6 years, Katie will be 4 times Thomas's current age then

K + 6 = 4T

Solving both equations simultaneously by substituting the value of K given in the first equation into the second

2T + 6 = 4T

Collect like terms

6 = 4T - 2T

6 = 2T

Divide both sides by 2

T = 3

Recall that K = 2T

K = 2 * 3

= 6

Hence Katie is 6 years old while Thomas is 3 years old

6 0
2 years ago
Rewrite each problem so that x appears on only one side
Vlad1618 [11]

Answer:

x = -5/21

Step-by-step explanation:

Step 1: Write equation

2(12x - 1) = (21x - 49)/7

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

  1. Multiply both sides by 7: 14(12x - 1) = 21x - 49
  2. Distribute 14: 168x - 14 = 21x - 49
  3. Subtract 21x on both sides: 147x - 14 = -49
  4. Add 14 to both sides: 147x = -35
  5. Divide both sides by 147: x = -5/21
5 0
3 years ago
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