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vovangra [49]
3 years ago
8

Which statement best explains whether △ABC is similar to △DEF?

Mathematics
1 answer:
Sati [7]3 years ago
8 0

A). They are not similar, because 6/13 is not equal to 8/20

For triangles to be similar, the ratios of sides need to be the same (shortest to shortest, middle to middle, longest to longest). The shortest sides are 6 and 13, respectively, the middle ones are 8 and 20. Because 6/13 is not equal to 8/20, the triangles are not similar.

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C is correct
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Six bags of soil are used to fill 5 flower pots. how much soil does each flower pot use? between what two whole numbers does the
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Logan can read at a rate of 2/3 page per minute. At that rate, how many pages can he read in 2 hours?
Anon25 [30]

Answer:

240- 360

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7 0
2 years ago
tina invests in $1,200 in a account with an interest rate of 6.25%. How many years for the account to reach $11,900.
nikklg [1K]

Hello!

To find the amount of years it will take for Tina's account to reach $11,900, we need to first, write an equation, then we would solve for the amount of years it would take using logarithms.

1. Write an equation

Since this question is a compound interest problem, we would write the equation in a format like this: y = a(1 + n)^x.

In this equation, y is the final value, a is the beginning value, n is the interest rate, and x is the amount of years. Since we are given the values of y, a, and n, we can substitute those values into the equation.

11900 = 1200(1 + .0625)^x

Notice that 6.25% was converted to 0.0625. To convert percentages to a decimal, divide the percent by 100.

2. Solve for x using logarithms

11900 = 1200(1.0625)^x (divide by 1200 to both sides)

11900/1200 = 1.0625^x (take the log of both sides)

log 11900/1200 = x log 1.0625 (divide both sides by log 1.0625)

log 11900/1200 / log 1.0625 = x

x = 37.8429...

This can be rounded to about 37.84 years.

Therefore, it will take about 37.84 years for Tina's account to reach 11,900 dollars.

6 0
2 years ago
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