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soldi70 [24.7K]
4 years ago
14

How do you do this ?

Mathematics
1 answer:
Alex73 [517]4 years ago
7 0
The sum of interior angles of a convex quadrilateral is 360°, so the average angle is 90°. If two of the angles are actually 90°, the remaining two are 90° ± (10°)/2, so are 85° and 95°.

The angles are 90°, 90°, 95°, 85°.
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Write each sum using summation notation.<br> 1+ 2 + 3 + 4 + ⋯ + 1000
AVprozaik [17]

Answer:

\sum_{k=1}^{1000} k

Step-by-step explanation:

You have to use the summation notation formula:

\sum_{k}^{n} f(k) = f(1) + f(2) +...+f(n)

where k is the starting number, n is the ending number and f(k) is the function or the expression to be added.

In this case, you have the sum of the integer numbers from 1 to 1000. Therefore, k=1 and n=1000.

Now, you have to obtain the function f(k) which is the representation of the expression needed to obtain the correct result of the sum.

f(k=1) = 1

f(k=2)=2

f(k=3)=3 ...

You can notice that the value of k corresponds to te value of f(k) therefore f(k) = k

Replacing the values of k, n and f(k) in the formula:

\sum_{k=1}^{1000} k = 1+2+3+4+...+1000

7 0
4 years ago
2x + 5y = -3<br> 2x + 2y = 6
oee [108]

Answer:

(6, - 3 )

Step-by-step explanation:

Given the 2 equations

2x + 5y = - 3 → (1)

2x + 2y = 6 → (2)

Subtracting (1) from (2) term by term will eliminate the x- term

(2x - 2x) + (2y - 5y) = 6 - (- 3), that is

- 3y = 9 ( divide both sides by - 3 )

y = - 3

Substitute y = - 3 in either of the 2 equations and solve for x

Substituting y = - 3 in (1)

2x + 5(- 3) = - 3

2x - 15 = - 3 ( add 15 to both sides )

2x = 12 ( divide both sides by 2 )

x = 6

Solution is (6, - 3 )

8 0
3 years ago
Read 2 more answers
13.2)
Neko [114]

Answer:

390

Step-by-step explanation:

4 0
4 years ago
The price of an item has been reduced by 20%. The original price was $85. What is the price of the item now?
lorasvet [3.4K]
The answer is $68.

Hope this helps!!!   :)
7 0
3 years ago
Read 2 more answers
Darnell is designing a new game. He will have 110 different-colored blocks in a bag. While a person is blindfolded, he or she wi
Anit [1.1K]
110*0.6=66 blue blocks
110*0.1=11 green blocks
8 0
3 years ago
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