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Lilit [14]
3 years ago
11

One angle in a triangle is 115 degrees. The other two angles are congruent. What is the measure of one of the missing angles?

Mathematics
1 answer:
kifflom [539]3 years ago
7 0
Use the fact that the sum of interior angles of a triangle is equal to  180°. 

Hence,  the second and the third angles of the given triangle are 180-115/2= 65/2<span>

 (32 degrees and 30 minutes).</span>
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Expand (2 + a)9 using Pascal’s triangle.
Natalija [7]

Answer:

Step-by-step explanation:

The Pascal triangle is used to determine the coefficients of the terms when we expand the expression.

                                             1                                (A + B) ^ 0 = 1

                                         1       1                            (A +B ) ^ 1 = 1A + 1B

                                   1          2        1          (A+ B) ^ 2 = 1A^2 + 2 AB + 1B^2

By extending the triangle, you will get the 9th row, which is your expression, of the coefficients. that is

1          9       36    84    126    126    84    36    9    1

Now, fill in AB in the gaps.

1AB + 9 AB + 36AB + 84AB + 126AB + 126AB +84AB + 36AB + 9AB + 1AB

Next, you need to go from the left to fill out the exponent of A and it will go down from 9 (the exponent of the whole thing) . That is

1A^9B+9A^8B+36A^7B+84A^6B+126A^5B+126A^4B+84A^3B+36A^2B+9A^1B+1A^0B

Next will be the exponent of B. this time, you go from the right and do the same with A. You can go from the left also, but go up from 0 to 9 for the exponent of B

1A^9B^0+9A^8B^1+36A^7B^2+84A^6B^3+126A^5B^4+126A^4B^5+84A^3B^6+36A^2B^7+9A^1B^8+1A^0B^9

The last step is just to simplify the A^0=1 and B^0 =1 at the first and the last terms.

A^9+9A^8B^1+36A^7B^2+84A^6B^3+126A^5B^4+126A^4B^5+84A^3B^6+36A^2B^7+9A^1B^8+B^9

Hope you can learn the method

5 0
2 years ago
2m= cm <br><br><br> Pls help me!!!
Andrej [43]

Answer:

200cm

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Which is an irrational number?<br><br> 0/3<br> 4.37124<br> 5.2<br> /42.25
amid [387]
43.5 is the answer to the question
4 0
2 years ago
Please help me with these?? Work needs to be shown.
Y_Kistochka [10]

Answer:

Step-by-step explanation:

7) Area = 615.75 sq. km

πr² = 615.75

3.14*r² = 615.75

r² = 615.75/3.14 = 196

r = √196

r = 14 km

8) circumference = 15.71 yards

πd = 15.71

3.14*d = 15.71

d = 15.71/3.14  = 5 yards

9)Area = 415.48 sq.inches

πr² = 415.48

3.14*r² = 415.48

r² = 415.48/3.14 =  132.31

r = √132.31

r = 11.5 inches

diameter = 11.5*2 = 23 inches

8 0
3 years ago
In 1999, there were 9860 Great Danes registered with the American Kennel Club. The number of
dybincka [34]

Answer:

154,897

Step-by-step explanation:

Labradors were

6997 MORE than 15 TIME Danes

So, first, what is 15 times Danes??

Given 9860 Danes, fifteen times Danes would be:

9860 * 15 = 147,900

Now, 6997 MORE to that, it would be:

147,900 + 6997 = 154,897

Thus,

There were 154,897 registered Labrador Retrievers

8 0
3 years ago
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