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3 years ago

Quadrilateral LMNP has sides measuring 16, 28, 12, and 32.

1 answer:

4 0

To dilate means to make larger and when dilating a shape you make all sides go up by the same ratio not amount you don't just add the same number to each side. also I have to assume that the sides go in order for every answer. so to start you set up a ratio using the first side take the 16 from the instructions and put it over the first side in the first answer so 16/24 or 2/3 when reduced then take the second side from the instructions and first answer and set them up the same way 28/40 reduced to 7/10 now if these ratios were equal it would be the answer however because 7/10 doesn't equal 2/3 a is not the answer. do the same for all the answers and you will get c to be the answer

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An arithmetic sequence has a1 = 22 and a8 = 43. Find a15.

brilliants [131]

The 15th term of the arithmetic sequence $a_{15} = 64$

Option B is correct

The nth term of an arithmetic sequence is given as:

$a_{n} = a + (n - 1)d$

The first value, a = 22

$a_8 = a+(8 - 1)d\\a_8 = a + 7d$

Since $a_8 = 43$

$43 = 22 + 7d\\7d = 43 - 22\\7d = 21\\d = \frac{21}{7}\\d = 3$

The common difference, d = 3

$a_{15}= a + (15-1)d\\a_{15} = a + 14d\\a_{15} = 22 + 14(3)\\a_{15} = 22 + 42\\a_{15} = 64$

The 15th term of the arithmetic sequence = 64

Learn more here: brainly.com/question/24072079

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