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iVinArrow [24]
3 years ago
14

Determine whether the dilation from Figure A to Figure B is a reduction or an enlargement

Mathematics
1 answer:
katrin [286]3 years ago
5 0

Answer:

see explanation

Step-by-step explanation:

Since figure B is smaller than Figure A then Figure B is a reduction.

To find the scale factor, calculate the ratio of corresponding sides, image to original.

Using the base lines of both triangles, then

scale factor k = \frac{2}{6} = \frac{1}{3}

You might be interested in
What is the sum of the first 30 terms of the arithmetic series 27,32,37,42,47
AlladinOne [14]

Answer:

2985

Step-by-step explanation:

The formula for the sum of an arithmetic series is given by the formula:

S=\frac{k}{2}(a+x_k)

Where k is the number of terms, a is the first term, and x_k is the last term. In this case, the last term is the 30th term because we are finding the sum of the first 30 terms.

So, we need to find the 30th term. To do so, we can write an explicit formula for our sequence.

The standard form for an arithmetic sequence is given by the formula:

x_n=a+d(n-1)

Where a is the initial term and d is the common difference.

From our sequence, we can see that the initial term a is 27. The common difference is 5 because each term is 5 greater than the previous one.

So, our equation is:

x_n=27+5(n-1)

So, to find the 30th term, substitute 30 for n:

x_{30}=27+5(30-1)

Subtract:

x_{30}=27+5(29)

Multiply:

x_{30}=27+145

Add:

x_{30}=172

So, the 30th term is 172.

Now, substitute this into our original sum formula:

S=\frac{k}{2}(a+x_k)

Substitute 30 for k (the amount of terms), 27 for a (the first term), and 172 for x_k (the 30th and last term). So:

S=\frac{30}{2}(27+172)

Reduce and add:

S=15(199)

Multiply:

S=2985

So, the sum of the first 30 terms is 2985.

3 0
3 years ago
Write an equation of the line
aleksandrvk [35]
Y=1/2x+1.5
hope that helps!
7 0
3 years ago
8) 4 16<br> Long division
tamaranim1 [39]

Answer:

Here you go now

0.25

or

1/4

Step-by-step explanation:

Hopefully this is correct!

- Unbrand -

3 0
3 years ago
Read 2 more answers
(1+1/1)(1+1/2)(1+1/3)......(1+1/n)=n+1
podryga [215]

(2/1 )(3/2)(4/3)...(n-1/n-2)(n/n-1)(n+1/n) = n + 1

n + 1 = n + 1

1 = 1 ( Fact )

Thus it is not importent what the value of n is at all because the equation is always have the equal number ( which is 1 ) in both sides .

6 0
2 years ago
Read 2 more answers
3 gal = pt please I'm in 5th grade
Sergeeva-Olga [200]
24 pints
since there are 8 pints in a gallon you can do 3 x 8 and get 24 cause you are converting a bigger unit into a smaller unit
7 0
3 years ago
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