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lesantik [10]
3 years ago
11

Figure A and Figure B are similar with a ratio of similarity of 1/8, and the area of figure A is 13 units, what is the area of f

igure B
Mathematics
1 answer:
nikdorinn [45]3 years ago
6 0

Answer:

0.2

Step-by-step explanation:

Similar triangles are triangles which have the same shape but not the same size. This means their angle measures are equal but their side lengths are not instead they are proportional. This means that if a rectangle has sides 3 by 4 its area will be 12. But its image after being dilated by 2 is 6 by 8 or twice the side. Will the area also be twice the size? The area of the image is 6*8 = 48. This is 4 times bigger than 12. Not twice as big. So the similarity of the area is the scale factor squared.

So if figure A has area 13 units. And they have a ratio or scale factor of 1/8 then the area sclae factor will be 1/8*1/8 = 1/64.

So 13*1/64 will be the area of figure B.

13* 1/64 = 13/64 = 0.2

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7/52 as a mixed number
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Answer:7

Step-by-step explanation:

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3 years ago
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Lines I and M are cut by transversal N which statement would prove I//M picture attached.
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Answer:

2 one and pls brainlist

5 0
2 years ago
Any one help with a step by step answer so I can write notes for future reference when working out similar questions? I need hel
max2010maxim [7]

Answer:

<em>Volume = ( About ) 2406.165 cm^3</em>

Step-by-step explanation:

If you consider a cube or a rectangular prism, you could identify it's volume through the multiplication of it's Base by height. A pyramid has 1 / 3rd that volume, so in order to take a volume of the figure to the left, we would multiply Base * height and take 1 / 3rd of that;

Square Pyramid,\\Base ( Square ) = a^2, a = length = 17.2 cm\\Height = 24.4 cm\\\\Volume = 1 / 3 ( Base ) ( Height ),\\Volume = 1 / 3 ( ( 17.2 )^2 )( 24.4 ),\\Volume = 1 / 3( 295.84 )( 24.4 ),\\\\Volume = 98.6133333333( 24.4 ),\\Volume = 2406.16533333,\\\\Volume = ( About ) 2406.165

<em>Solution ⇒ ( About ) 2406.165 cm^3</em>

<em />

Hope that helps!

3 0
3 years ago
The ratio of oranges to apples in Helen's basket is 4:3. The basket has 12 apples in it. How many oranges are in the basket?
frez [133]

Answer:

16 oranges

Step-by-step explanation:

The ratio of oranges to apples is 4:3 which means that for every four oranges, there are 3 apples.

Since there are 12 apples in the basket, to find the number of oranges, set up a ratio.

4/3 = x/12 (x represents the number of oranges)

Cross multiply.

48 = 3x

Divide by 3.

x = 16

There are 16 oranges in the basket.

Hope that helps.

3 0
3 years ago
2. 2x - y = 6,<br> - x + y = -1
allochka39001 [22]

Answer:

x = 5

y = 4

Step-by-step explanation:

just substitute the value of one variable into the other

-x +y = -1

or y = -1 +x   <-------- (i just added x to the right side)

now u know what y is equal to, just substitute that value into the first equation

2x - (-1+x) = 6     <-------- instead of y, i put the value of y from the 2 equation

NOW SOLVE FOR X!

2x +1 -x = 6

x + 1 = 6

x = 5

now solve for y since you have the value of x

y = -1 + x

or y = -1 + 5

y = 4

3 0
3 years ago
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