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Aleks [24]
3 years ago
10

1. Identify a pair of alternate exterior angles.

Mathematics
1 answer:
alisha [4.7K]3 years ago
3 0
First answer is the fourth one, 2 and 6
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Complete the squar3
cricket20 [7]

9514 1404 393

Answer:

  1. 4
  2. -2
  3. 4
  4. 2
  5. -2±√2

Step-by-step explanation:

In order to fill the first blank, we need to look at the second line to see what the coefficient of x is.

  1. x² +<u> </u><u>4 </u>x +2 = 0

The constant is subtracted from both sides to get the second line.

  2. x² +4x = <u> -2 </u>

The value that is added on the third line is the square of half the x-coefficient: (4/2)² = 4

  3. x² +4x +<u> 4 </u> = -2 +4

On the fourth line, the left side is written as a square, and the right side is simplified. The square root is taken of both sides.

  4. √(x +2)² = ±√<u> 2 </u>

Finally, 2 is subtracted from both sides to find the values of x.

  5. x = <u> -2 ±√2 </u>

8 0
3 years ago
Multiply. assume that no denominator equals zero x^2-16
lawyer [7]
There's nothing to multiply. However, you can factor it to get (x + 4)(x - 4). 
4 0
3 years ago
Write in simplest form 1/3 times 1 1/3
IRINA_888 [86]

Answer:

3 2/3

Step-by-step explanation:

Use a calculator please

8 0
3 years ago
The area of a square is 32 cm. find the length of the diagonal
Over [174]

Answer:

8 cm

Step-by-step explanation:

Squares have equal side lengths so if we call each side x, then x × x gives us the area (32 cm²). This means that x² = 32 and therefore, one side is √32 cm.

Next, to work out the diagonal we can use Pythagoras' theory, since we can form a right-angled triangle. a² + b² = c² (c is the diagonal or the hypotenuse)

(√32)² + (√32)² = c²

(note: the square and the square root cancel out)

32 + 32 = 64

c² = 64 ∴ c = √64 which is 8

Hope this helps!

4 0
2 years ago
Read 2 more answers
Find the meaure of the central angle the sector area is 169.56 and the radius is 9
BaLLatris [955]
Since the area of a circle is πr^{2}, and our radius is 9 we know the total area to be 254.469, and the ratio of sector area to total area is 169.56/254.469 = .6663. There are 360 degrees in a circle, so: c = 360(.6663) ≈ 240°

240 degrees
4 0
3 years ago
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