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UNO [17]
3 years ago
11

Calculate the angles of a parallelogram if the sum of the three angles is 310°

Mathematics
1 answer:
Gennadij [26K]3 years ago
8 0

9514 1404 393

Answer:

  adjacent angles are 50° and 130°

Step-by-step explanation:

The sum of all 4 angles in a parallelogram is 360°, so the fourth angle must be ...

  360° -310° = 50°

Adjacent angles are supplementary, so the other two angles must be ...

  180° -50° = 130°

The angles in the parallelogram are either 50° or 130°. Adjacent angles are different.

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A savings account earns 15% interest annually. What is the balance after 8 years in the savings account when the initial deposit
natita [175]

The balance after 8 years is $22,942.67

<h3>What is the balance after 8 years?</h3>

We know that the savings account earns 15% annually, and the initial deposit is $7500, then the balance as a function of time in years is:

B = $7500*(1 + 15%/100%)^t

B = $7500*(1.15)^t

The balance after 8 years is what we get when we evaluate the above function in t = 8, so we get:

B = $7500*(1.15)^8 = $22,942.67

So the correct option is the last one.

If you want to learn more about exponentials:

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3 0
2 years ago
Maria bought seven boxes. A week later half of all her boxes were destroyed in a fire. There are now only 22 boxes left. with ho
geniusboy [140]
37 is the answer because she has half left 22 so that she had 44 - 7 = 37
8 0
3 years ago
Read 2 more answers
Carolyn is using the table to find 360% of 15. What values do X and Y represent in her table?
Ganezh [65]

★  100% of 15 = X

\implies \mathsf{100\%\;of\;15 = \left(\dfrac{100}{100} \times 15\right) = 15}

\implies \mathsf{X = 15}

★  20% of 15 = Y

\implies \mathsf{20\%\;of\;15 = \left(\dfrac{20}{100} \times 15\right)}

\implies \mathsf{20\%\;of\;15 = 3}

\implies \mathsf{Y = 3}

<u>Answers</u> : X = 15 and Y = 3

8 0
3 years ago
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If x and y are complementary angles, then y is a right angle.<br><br> right?
Nikitich [7]
Always because the sum of x and y is 180 degrees. If x and y are right angles, then x and y are supplementary angles. Never because the sum of x and y has to be 90 degrees. If x and y are complementary angles, then y is a right angle.
4 0
3 years ago
Help with questions 21-23 using pemdas
taurus [48]

Answer:

21. 123    22. 6.86 or 6/ 6/7  23. 90

Step-by-step explanation:

21. (6+4)² + (22+10÷2)

     (10)² + (22 + 5)

        100 + 27

           127

22. (11+42-5) ÷ (11-4)

         48 ÷ 7

        6.85 or 6 6/7

23. (17-3) × (14 - 6) -22

         14 × 8 - 22

         112 - 22

           90

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3 years ago
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