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Yuliya22 [10]
3 years ago
10

What is the value of x?2367​

Mathematics
1 answer:
Alex777 [14]3 years ago
4 0

Answer:

x = 2

Step-by-step explanation:

Using the property of two secants segments to a circle, we have that:

EB * EA = EC * ED

(x + 1)(x + 1 + 11) = (x + 4)(x + 4 + 1)

(x + 1)(x + 12) = (x + 4)(x + 5)

x^2 + 13x + 12 = x^2 + 9x + 20

13x + 12 =9x + 20

13x - 9x = 20 - 12

4x  = 8

x = 2

So the value of x is 2

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The wildflowers at a national park have been decreasing in numbers. There were 1200 wildflowers in the first year that the park
bonufazy [111]

Year      New flowers

1                 1200

2                 300

3                   75

There were 1200 wildflowers in the first year that the park started tracking them. Since then, there have been one fourth as many new flowers each year

Initially there are 1200 flowers and start decreasing by \frac{1}{4}

So first term is 1200 and common ratio is \frac{1}{4}.

Its a geometric sequence so summation becomes

i =1∑ ∞ 1200(\frac{1}{4})^{i-1}

Now we find the sum

We use sum formula

Sum = \frac{a}{1-r}

Where a is the first term , a= 1200

r is the common ratio , r= 1/4

Sum = \frac{1200}{1-(\frac{1}{4})}

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4 0
3 years ago
used books cost $2.27 each. which represents the total number of books that can be purchased for $10?
siniylev [52]

Answer:

4 books

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The cost for one used = $2.27

The question requires you to find the number of books that could be purchased with $10

Let assume the cost for a single used book to be $ t

If you have $ x in your pocket then the number of books you can purchase with $ x will be;

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3 years ago
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