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Elodia [21]
4 years ago
14

Find the measure of an angle if it’s supplement measures 10 degrees more than three times it’s complement.

Mathematics
1 answer:
Mrrafil [7]4 years ago
8 0
<span>let m is the angle s be the supplement and c be the compliment
s=10+3c
180-m=10+3(90-m)
180-m = 10 +270 -3m

-100 = -2m
m = 50 </span>
You might be interested in
<img src="https://tex.z-dn.net/?f=%28%20%7B5%7D%5E%7B3%7D%20%29%20%7B%7D%5E%7B5%7D%20" id="TexFormula1" title="( {5}^{3} ) {}^{5
WINSTONCH [101]

Step-by-step explanation:

({ {a}^{m}) }^{n}  =  {a}^{mn}

({ {5}^{3}) }^{5}

{5}^{5 \times 3}

{5}^{15}

Option A

4 0
3 years ago
Read 2 more answers
First right answer gets brainliest :)
Vsevolod [243]

Answer:

(2 1/4, 1 1/2) A

(-1 1/4, 1 1/2) B

(-2 1/2, 1/4) C

Step-by-step explanation:

We can determine that each tick mark represents 1/4 based off the given numbers. Now we just determine the points.

(2 1/4, 1 1/2) A

(-1 1/4, 1 1/2) B

(-2 1/2, 1/4) C

3 0
2 years ago
Dave has $8000 to invest for 15 years. He finds a bank that offers an interest rate of 3.1% compounded monthly. How much money w
ioda

Dave will have $12,728 after 15 years, if he has $8000 to invest for 15 years. He finds a bank that offers an interest rate of 3.1% compounded monthly.

Step-by-step explanation:

The given is,

                 Investment = $ 8000

               No. of years = 15 years

             Interest rate, i = 3.1 %

                 ( compounded monthly )  

Step:1

          For for calculating future value with compound interest monthly,

                                     A = P (1 +\frac{r}{n})^{nt}.................(1)

         Where,

                     A = Future amount

                     P = Initial investment

                     r = Rate of interest

                    n = Number of compounding in a year

                     t = Time period

Step:2

           From given values,

                           P = $8000

                            r =  3.1%

                            t = 15 years

                            n = 12 ( for monthly)

           Equation (1) becomes,

                          A = 8000( 1+\frac{0.031}{12} )^{(12)(15)}

                              = 8000 (1+0.002583)^{180}

                              = 8000(1.002583)^{180}

                              = 8000(1.591059)

                              =12728.48

                           A = $ 12728.48

Result:

           Dave will have $12,728 after 15 years, if he has $8000 to invest for 15 years. He finds a bank that offers an interest rate of 3.1% compounded monthly.

                             

       

8 0
4 years ago
Please help me answer the question
Veronika [31]

Answer:

fourth option

Step-by-step explanation:

Common difference is given by difference of two consecutive term

d = nth term - (n-1)th term

______________________________________

for all the  series lets take second term as nth term

and first term as (n-1)th term

_________________________________________

for first series

n th term = -3 1/2 = -3.5

(n-1)th term = -5

therefore

d= -3.5 -(-5) = -3.5 +5 = 1.5

______________________________________

for second series

n th term = 4 1/2 = 4.5

(n-1)th term = 2 1/2 = 2.5

therefore

d= 4.5 -(2.5) =2

_________________________

for third series

n th term = 3

(n-1)th term =1.5

therefore

d= 3 - 1.5 = 1.5

__________________________________

for fourth series

n th term = -1.5

(n-1)th term = -4

therefore

d= -1.5 -(-4) = -1.5 + 4 = 2.5 = 2 1/2

___________________________________

Thus, based on above solution option four has common difference of 2 1/2

3 0
3 years ago
The mass of iceman's dagger is 19.78 grams. how many ouces is this?
Mekhanik [1.2K]
0.69771896736 ounces because 

19.78 g / 28.34952= 0.69771896736 oz
7 0
3 years ago
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