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son4ous [18]
3 years ago
7

Find the sum of the following series:

Mathematics
1 answer:
Oksanka [162]3 years ago
5 0

Answer:

The sum is 2635

Step-by-step explanation:

I did this problem

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(a + b)(a ² - ab + b ²) Please help!
kvasek [131]
Hey there :)

( a + b )( a² - ab + b² )
Let us distribute ( a + b )

a ( a² ) + a ( - ab ) + a ( b² ) + b ( a² ) + b ( - ab ) + b ( b² )
a³ - a²b + ab² + a²b - ab² + b³

We can simplify further:
- a²b + a²b = 0
ab² - ab² = 0

a³ + b³

You can see in the picture I have attached that this is the 7th formula

4 0
3 years ago
Read 2 more answers
I need help with number 1-4 I don’t understand..
Karo-lina-s [1.5K]

Answer:

  1. 109°, obtuse
  2. 131°, obtuse
  3. 53°, acute
  4. 124°, obtuse

Step-by-step explanation:

You are exected to know the relationships of angles created where a transversal crosses parallel lines.

  • Corresponding angles are equal (congruent).
  • Adjacent angles are supplementary, as are any linear pair.
  • Opposite interior (or exterior) angles are equal (congruent).

The appearance of the diagram often gives you a clue.

You also expected to know the name (or category) of angles less than, equal to, or greater than 90°. Respectively, these are <em>acute</em>, <em>right</em>, and <em>obtuse</em> angles.

1. Adjacent angles are supplementary. The supplement of the given angle is 109°, so x will be obtuse.

2. Opposite exterior angles are equal, so y will be 131°. It is obtuse.

3. Opposite interior angles are equal, so w will be 53°. It is acute.

4. Corresponding angles are equal, so x will be 124°. It is obtuse.

8 0
3 years ago
What is 4/6 equal to
timama [110]

\frac{2}{3}
8 0
3 years ago
If the Alexanders completed the 735 mile trip in 15 hours, what was their average rate of travel?
Darina [25.2K]
The rate of travel here is in mph - "miles per hour".

That just means how many miles you can travel in one hour. In this problem, you're given 15 hours, and the distance they travel within those 15 hours.

Therefore, you should divide both the number of miles and the number of hours by 15 to find out how far they can travel in 1 hour.

735 ÷ 15 = 49 miles
15 ÷ 15 = 1 hour

Their average rate of travel was 49 miles in 1 hour, which is 49 mph.

6 0
3 years ago
Read 2 more answers
Parallelogram ABCD is a rectangle.
svp [43]
Y = 3 because in a rectangle, the diagonals are ALWAYS congruent. so you would have:
5y - 2 = 4y + 1
-4y+2   -4y + 2
y        =        3
7 0
3 years ago
Read 2 more answers
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