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elena-14-01-66 [18.8K]
2 years ago
7

A side of the triangle below has been extended to form an exterior angle of 165º. Find

Mathematics
1 answer:
Arte-miy333 [17]2 years ago
5 0

Answer:

x = 120°

Step-by-step explanation:

the 165 degree obtuse angle forms a straight line with the upper left angle inside the triangle, therefore this angle measures 15 degrees

we know two of the three angle measures so we add all three together to find the unknown angle

x + 15 + 45 = 180

x + 60 = 180

x = 120°

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Investment of $2000 at 10% simple interest for 9 years
Oliga [24]

Answer:

The last investment (C) has the least interest of $600

The other two investments (A and B) have the <u>same</u> amount of interest of $1800.

Step-by-step explanation:

<u>Simple Interest Formula</u>

I = Prt

where:

  • I = interest earned
  • P = principal
  • r = interest rate (in decimal form)
  • t = time (in years)

<u>Investment A</u>

  • P = $2000
  • r = 10% = 0.1
  • t = 9 years

Substitute the given values into the formula and solve for I:

⇒ I = 2000(0.1)(9)

⇒ I = $1800

<u>Investment B</u>

  • P = $3000
  • r = 3% = 0.03
  • t = 20 years

Substitute the given values into the formula and solve for I:

⇒ I = 3000(0.03)(20)

⇒ I = $1800

<u>Investment C</u>

  • P = $2000
  • r = 10% = 0.1
  • t = 3 years

Substitute the given values into the formula and solve for I:

⇒ I = 2000(0.1)(3)

⇒ I = $600

The last investment (C) has the least interest of $600.

The other two investments (A and B) have the <u>same</u> amount of interest of $1800.

8 0
2 years ago
Algebra- Find the unknown digit to make each statement true
scZoUnD [109]
1. 7
2. 4
3. 6

Hope this helped! :)
5 0
3 years ago
Calvin evaluated -2/3 *5 1/6 using the steps below.
matrenka [14]

For this case we have to evaluate the following expression,

- \frac {2} {3} * 5 \frac {1} {6}

We must follow the steps below:

We convert the mixed number into a fraction:

- \frac {2} {3} * \frac {6 * 5 + 1} {6} =\\- \frac {2} {3} * \frac {31} {6} =

We multiply the fractions, taking into account that:

- * + = -\\- \frac {2 * 31} {3 * 6} =\\- \frac {62} {18} =

We simplify:

- \frac {31} {9}

We convert to mixed number:

-3 \frac {4} {9}

Answer:

-3 \frac {4} {9}

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3 years ago
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I think it might be 12
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Answer:

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Step-by-step explanation:

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