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lidiya [134]
2 years ago
14

​Triangle A′B′C′​ is a dilation of ​triangle ABC​ .

Mathematics
1 answer:
Bumek [7]2 years ago
6 0

Answer:

1/2

Step-by-step explanation:

The scale factor is 1/2 because each side length of \triangle{A'B'C'} is 1/2 of the length of the side lengths of \triangle{ABC}.

Hope this helps :)

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On Monday, Torrance practiced the violin for 4/10 of an hour. On Tuesday, he practiced for 1 6/8 of an hour. How much time did h
Yuri [45]

Answer: 2\frac{3}{20}

<u>Step-by-step explanation:</u>

First, convert mixed numbers into improper fractions and simplify all fractions

\frac{4}{10} ÷ \frac{2}{2} = \frac{2}{5}

1\frac{6}{8} = \frac{8(1) + 6}{8} = \frac{14}{8} ÷ \frac{2}{2} = \frac{7}{4}

Next, find their sum.  Remember to find the LCD and convert the fractions so they have like denominators.

Monday + Tuesday = Total

\frac{2}{5} + \frac{7}{4} = Total      <em>the LCD of 5 and 4 is 20</em>

(\frac{4}{4})\frac{2}{5} + (\frac{5}{5})\frac{7}{4} = Total

\frac{8}{20} + \frac{35}{20} = Total

\frac{43}{20} = Total

Then, convert the improper fraction into a mixed number

\frac{43}{20} = 2\frac{3}{20}

7 0
3 years ago
Suppose that $5500 is placed in an account that pays 2% interest compounded each year.
pogonyaev

Answer: After 1 year:    $5,610

After 2 years: $5,722.20

Step-by-step explanation: Use the formula for periodic compounding interest, which is

A = P(1 + r/n)^(nt), where A is the final amount, P is the initial deposit, r is the interest rate as a decimal, n is the number of times the interest is compounded per year, and t is how many years.

Here, P = 5,500, r = 0.02  (that's 2% as a decimal), n = 1,

t = 1 for the first answer, t = 2 for the second answer (1 year, then for 2 years)

Plug the known values in to solve...

For 1 year...

A = 5,500(1 + 0.02/1)^(1*1)

  A = 5,500(1.02)^1

     A = 5,610

For 2 years...

A = 5,500(1 + 0.02/1)^(1*2)

  A = 5,500(1.02)²

     A = 5,722.20

3 0
2 years ago
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*.. <br> IM GIVING 40 POINTS !! DONT SKIP :((.
Ksju [112]

Answer:

The answer is y = x + 38

PLEASE MARK BRAINLIEST!

AND THIS WAS ONLY 5 POINTS

4 0
3 years ago
The triangles shown below must be congruent. right awnsers only please.
tankabanditka [31]
It is true. The triangles are congruent.
8 0
3 years ago
Read 2 more answers
CAN YALL PLS HELP !!!
JulijaS [17]

Answer:

the first step is wrong

it should be 4(x-4)/(x+1)(x-4) - (x+2)/(x-4)(x+1)

8 0
3 years ago
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