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Veronika [31]
3 years ago
7

Use the diagram below to find the missing angle measures

Mathematics
1 answer:
ruslelena [56]3 years ago
6 0

Answer:

I have attached the answers below and how i got the answers :)

Hope this helps!

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Use the method of Gauss to find the sum.1+2+3+.....+400
nikklg [1K]
Gauss' method for addition relies on the fact that you can 'pair' certain numbers together. Look at the example:

1+2+3+4+5+6+7+8+9+10

We could manually add all these together from left to right but a clever way to think about this is if we add together the ends of the sum (10+1) we get 11. If we then move one in from the ends and add these (2+9) we also get 11. This means that 1+2+...+9+10 is the same as 11+11+...+11+11.

Because each 2 numbers adds to 11 we know the total number of 11's we have to add together is the length of the sum divided by 2. In our case 5 (10 ÷ 2). We need to add 5 lots of 11 to get our answer. This is the same as 11 × 5 which is easily seen to be 55.

(If you add the 10 numbers together on a calculator you'll see 1+2+3+4+5+6+7+8+9+10 = 55) so this method really makes it a lot quicker.

Looking at your sequence, if we pair the ends together we get 401 (400+1) and we multiply this by the length of the sequence divided by 2. In your case, 200 (400 ÷ 2).

So the sum of all the numbers from 1 to 400 must be 401 × 200 = 80,200.

Remember the steps:
1. Pair the ends together and add them
2. Times this number by the length of the sequence halved

Hope this helps.
6 0
3 years ago
Please match the following 3 terms to their definitions.
yan [13]

Answer:

See attached

Step-by-step explanation:

Refer to picture

8 0
3 years ago
<img src="https://tex.z-dn.net/?f=if%20x%20%3D%20-5%5C%5Cx%5E%7B2%7D%20%2B%203%5C%5Cx%20-%202" id="TexFormula1" title="if x = -5
levacccp [35]

Answer:

this question is inappropriate

8 0
3 years ago
Which is equivalent to
Tresset [83]

Answer:

First option

Step-by-step explanation:

\frac{1}{8} x +  \frac{1}{8} x \\  \frac{1 + 1}{8} x \\  \frac{2}{8} x \\  \frac{1}{4} x

8 0
2 years ago
How do you use the distributive property to simply 11 (9+d)
s344n2d4d5 [400]
First multiply 11 with 9 to get 99 and then 11 with d to get 11d
thus the answer is 99+11d.
8 0
3 years ago
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