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AlekseyPX
3 years ago
15

The points on the number line do represent additive inverses. 3 and −3 are a zero pair, and when added they equal zero. The two

numbers are the same distance from zero but in opposite directions.
Mathematics
2 answers:
eimsori [14]3 years ago
5 0

Answer:

Its because one is a positive integer and the other is a negative.  So basically it is 3-3=0

Step-by-step explanation:

densk [106]3 years ago
3 0

Answer:

true

Step-by-step explanation:

because the question is he points on the number line do represent additive inverses. 3 and −3 are a zero pair, and when added they equal zero. The two numbers are the same distance from zero but in opposite directions. then it would equal 0

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Higher Circle Theorems<br> Three questions 20 points.
Law Incorporation [45]

Answer:

64

Step-by-step explanation:

alternating angles are equal

8 0
2 years ago
At midnight, the temperature was -8° F. At noon, the temperature was 23° F. Which expression represents the increase in temperat
Mariana [72]

Answer:

C

Step-by-step explanation:

Increase is difference between ending and begining value so 23-(-8) =23+8.

In this case its absolute value because it has to be positive

6 0
3 years ago
Two angles of a triangle are 30°and 80°. Find the third angle.
stiv31 [10]

Answer:

The third angle of the triangle is 70°.

Step-by-step explanation:

The two angles of a triangle (say Δ ABC) are given to be 30° and 80°.

We have to find the third angle.

Let us assume that ∠ A = 30° and ∠ B = 80°, then we have to find ∠ C.

Now, we know that, ∠ A + ∠ B + ∠ C = 180° {Property of a triangle}

⇒ 30° + 80° + ∠ C = 180°

⇒ ∠ C = 180° - 30° - 80° = 70°

Therefore, the third angle of the triangle is 70°. (Answer)

7 0
3 years ago
Subtract the following decimals<br> 1. 19.87 - 8.54<br> 2. 7.93 - 2.03<br> 3. 96.6 - 88.5
Lina20 [59]

Answer:

the answer is

1. 11.33

2. 5.9

3. 8.1

7 0
2 years ago
A piece of wire 11 m long is cut into two pieces. One piece is bent into a square and the other is bent into an equilateral tria
forsale [732]

Answer:

11 meters

Step-by-step explanation:

First, we can say that the square has a side length of x. The perimeter of the square is 4x, and that is how much wire goes into the square. To maximize the area, we should use all the wire possible, so the remaining wire goes into the triangle, or (11-4x).

The area of the square is x², and the area of an equilateral triangle with side length a is (√3/4)a². Next, 11-4x is equal to the perimeter of the triangle, and since it is equilateral, each side has (11-4x)/3 length. Plugging that in for a, we get the area of the equilateral triangle is

(√3/4)((11-4x)/3)²

= (√3/4)(11/3 - 4x/3)²

= (√3/4)(121/9  - 88x/9 + 16x²/9)

= (16√3/36)x² - (88√3/36)x + (121√3/36)

The total area is then

(16√3/36)x² - (88√3/36)x + (121√3/36) + x²

= (16√3/36 + 1)x² -  (88√3/36)x + (121√3/36)

Because the coefficient for x² is positive, the parabola would open up and the derivative of the parabola would be the local minimum. Therefore, to find the maximum area, we need to go to the absolute minimum/maximum points of x (x=0 or x=2.75)

When x=0, each side of the triangle is 11/3 meters long and its area is

(√3/4)a² ≈ 5.82

When x=2.75, each side of the square is 2.75 meters long and its area is

2.75² = 7.5625

Therefore, a maximum is reached when x=2.75, or the wire used for the square is 2.75 * 4 = 11 meters

3 0
3 years ago
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