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VikaD [51]
3 years ago
13

What is the value of x?

Mathematics
1 answer:
natta225 [31]3 years ago
8 0

Answer:

x=131

Step-by-step explanation:

55 + 76 + x = 180

131 + x = 180

x = 49

subtract 49 from 180 to get x

180 - 49 = 131

*so um note that x should be greater than 90 degrees bc x is obvi an obtuse angle

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A company provides a monthly pension to its employees. A person retiring at 62 retires and receives a full monthly pension. If t
IRISSAK [1]

Answer:

  • <em><u>The reduction is 8.6%</u></em>

Explanation:

Call F the full monthly pension of a person retiring at 62.

If a person continues to work the pension grows at a rate of 6% per year, compounded monthly, so use the compounded growing formula:

  • Pension=F(1+r/12)^{12t}

Where r = 6 / 100 = 0.06, and t = number of years after retirement.

<u>For retirement at 65.5</u>:

  • t = 65.5 - 62 = 3.5

  • Pension=F(1+0.06/12)^{12\times 3.5}=1.233F

<u>For retirement at 67</u>:

  • t = 67 - 62 = 5

  • Pension=F(1+0.06/12)^{12\times 5}=1.349F

<u>Percent reduction of people who retire at 65.5 compared to what they would receive at 67</u>:

  • (1.349F-1.233F)\times 100/(1.349F)=8.6\%
8 0
3 years ago
*Need Help??!!
RoseWind [281]

The probability of getting a <em>country CD</em> out of all the CDs is the number of <em>country CDs</em> divided by the <em>total number of CDs</em> in Dante's Collection.

The <em>total number of CDs</em> in Dante's collection is 6+12+8+4+10=40.

The total number of <em>country CDs</em> is 12.

So our required probability is \frac{12}{40}= \frac{3}{10}.

In percentage this is 3 divided by 10, and then multiply by 100. We get 30%. Answer choice D is correct.


ANSWER: D

3 0
3 years ago
Read 2 more answers
Line a ∥ line b. Find the value of x and y. Please show all work for credit.
olasank [31]

Answer:

x = 12, y =

Step-by-step explanation:

a || b

5x - 7 = 3x + 17   Alternative Interior Angles

x = 12   Algebra

Angle 3x + 17 = 53   Substitution

53 + 4y + 3 = 180   Supplementary Angles

y = 31

5 0
2 years ago
What is 8.24+3.4 i need the aanswer please
kirill115 [55]

Answer:

11.64

Step-by-step explanation:

8.24+3.4=11.64

6 0
3 years ago
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Find the sequence 3n-1
aivan3 [116]

a(1) = 3(1)-1 = 3-1 = 2

a(2) = 3(2)-1 = 6-1 = 5

a(3) = 3(3)-1 = 9-1 = 8

So, the sequence would be 2,5,8,11....

6 0
3 years ago
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