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Bond [772]
2 years ago
5

Help! Jeez these are hard.

Mathematics
1 answer:
Irina18 [472]2 years ago
3 0

Answer:

option 2

Step-by-step explanation:

a colored in dot is less than or equal to or greater than or equal to while an uncolored dot is less then or greater than. arrow going left of the number is less than arrow going right is greater than. the problem is a is greater than 4/5 so an uncolored dot shout be on 4/5 going to the right

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Identify each pair of angles as corresponding, Alternate interior, alternate exterior, or consecutive interior and solve for X
-BARSIC- [3]

Answer:

Step-by-step explanation:

19). Angles measuring 90° and (21x + 6)° are Alternate exterior angles.

     Therefore, 21x + 6 = 90

     2x = 90 - 6

     2x = 84

      x = 42

21). Angles measuring 60° and (8x - 4)° are Alternate interior angles,

      8x - 4 = 60

      8x = 60 + 4

      x = \frac{64}{8}

      x = 8

23). Since, angles measuring (-1 + 14x)° and (12x + 17)° are Alternate exterior angles

    Therefore, (-1 + 14x) = (12x + 17)

     14x - 12x = 17 + 1

     2x = 18

      x = 9

25). Both the angles (x + 96)° and (x + 96)° are consecutive interior angles.

      Therefore, (x + 96)° + (x + 96)° = 180° [Property of consecutive interior angles]

      2x + 192 = 180

      2x = 180 - 192

      2x = -12

       x = -6

       Now measure of (x + 96)° = -6 + 96

                                                = 90°

26). Both the angles (20x + 5)° and (24x - 1)° are consecutive interior angles.

      Therefore, (20x + 5)° + (24x - 1)° = 180°

       44x + 4 = 180

       44x = 176

        x = 4

4 0
2 years ago
Two consecutive integers are such that 7 times the biggest and then added to the smallest equals
Arturiano [62]

Answer:

61,62

Step-by-step explanation:

Let the smallest  number be x

Hence, the biggest number = x+1 [as it consecutive]

Hence,

7(x+1)+x=495

7x+7+x+495

8x=495-7

8x=488

x=61

Hence, smaller number=61, bigger number=62

7 0
2 years ago
The function
Stella [2.4K]

Answer:

  • The smaller one is x = 3
  • and the larger one is x = 6

Step-by-step explanation:

A "critical number" is a function argument where the function has zero or undefined slope. A polynomial function never has undefined slope, so we're looking for the x-values where f'(x) = 0.

A graphing calculator easily shows the points that have zero slope. They are found at x = 3 and x = 6.

_____

Setting the derivative to zero is another way to find the points with zero slope:

  f'(x) = 6x^2 -54x +108 = 6(x^2 -9x +18) = 6(x-3)(x-6)

The derivative will be zero where the factors are zero, at x=3 and x=6.

The critical numbers are x=3 and x=6.

6 0
2 years ago
Explain how to find the exact value of sin(570°).
Lena [83]
Quick answer Sin(570) = - 1/2
Comment

570 as an angle contains 1 complete revolution of the terminal arm. The terminal arm begins at the origin and the other (in this case swings around until it records 570° turning around the x axis in an anticlockwise direction.

Anticlockwise means going from 12 o'clock to 9 o'clock to 6 o'clock then 3 o'clock and back to 12 o'clock.

What is 570° (∅) degrees equivalent to?
We keep on subtracting 360 until we get a number between 0 and 360 inclusive.

Written this way 0 ≤∅≤360
570 - 360 = 210°

So we need to find the equivalent of 210° 

Method
210° = 180° + 30°
This means that ∅ is 30° below the x axis in the 3rd quadrant.

Sin(30) = 1/2 
In the third quadrant, the sine is minus. so 
sin(210°) = - 1/2 <<<<<<< Answer 
7 0
3 years ago
Read 2 more answers
The graph of y = x^2 is translated 1 unit to the right. What is the equation of the new graph?
Burka [1]

Answer: 2

Step-by-step explanation:

If the number was OUTSIDE the exponents it represents a movement up or down

If the number is inside the parenthesis and exponent ex: (x-1)^2 then it decides a movement on the left or right

However inside the parenthesis it is reversed, so a - is move to the right and a + is moved to the left, this making your answer (x-1)^2

- Gage Millar, Algebra 2 Tutor

5 0
2 years ago
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