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nirvana33 [79]
3 years ago
8

Determine the value of c in the diagram.

Mathematics
1 answer:
Neporo4naja [7]3 years ago
3 0

Answer:

x = 30°

Step-by-step explanation:

5x + x + x + 5x = 360° ( exterior angle property)

12x = 360°

x = 360/12

x = 30°

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In the space below, provide the larger of the two positive integers that add to 10 and have the largest possible product.
aleksklad [387]

Answer:

  5

Step-by-step explanation:

The integers 5 and 5 sum to 10 and have the largest possible product.

___

The two numbers will be x and (10-x). Their product is x(10-x), which describes a downward-opening parabola with zeros at x=0 and x=10. The maximum (vertex) of that parabola is halfway between the zeros, at x=5. Both integers have the same value: 5. Their product is 25.

If there is a requirement the integers be distinct, then 6 and 4 are the integers of choice. Their product is 24.

6 0
2 years ago
The high temperature in a Northern City was -6 Today. The high in a Caribbean city today was +99. How much warmer was it in the
SSSSS [86.1K]
It was +105 degrees warmer in the Caribbean than it was in the Northern City.
5 0
2 years ago
Identify the sequence graphed below and the average rate of change from n = 1 to n = 3. coordinate plane showing the point 2, 10
Katena32 [7]

Answer:

  • geometric sequence with initial value 20 and common ratio 1/2
  • average rate of change on [1, 3] = -7.5

Step-by-step explanation:

(a) The given points have sequential values of x and values of y that are each 1/2 the value before. The common ratio tells us the sequence is a geometric sequence.

(b) The first given point is (2, 10), so extrapolating backward, we determine the previous point to be ...

... (2-1, 10/(1/2)) = (1, 20)

Thus, we have enough information to determine the average slope between n=1 and n=3.

... (difference in y)/(difference in n) = (5 -20)/(3 -1) = -15/2 = -7.5

4 0
3 years ago
Number 27.
atroni [7]
<h3>Answer:</h3>

none of these has "no solution"

<h3>Explanation:</h3>

A. The solution is (8/3, 3)

B. The second equation is -1/2 times the first, so these describe the same line. The system has an <em>infinite number of solutions</em>.

C. The solution is (-4, -2)

D. The solution is (4, -2)

E. The second equation is 2 times the first, so these describe the same line. The system has an <em>infinite number of solutions</em>.

_____

A system of equations will have "no solution" when it describes parallel lines—lines that do not intersect. In standard form, such equations are recognizable by their different constants. For example,

  • 3x -4y = -4
  • 3x -4y = 20 . . . . . . 20 is different from -4

have different constants, so the equations describe parallel lines.

We could multiply one of these by -2 and the system would still be "inconsistent"—having no solution.

  • 3x -4y = -4
  • -6x +8y = -40
5 0
3 years ago
Which situation below would represent a negative rate of change:
uranmaximum [27]

Answer: John's situation

Step-by-step explanation:

Hi, to answer this question we have to write an equation for each situation.

John’s situation:

The amount of money that John has (y) is equal to his school account (40) minus the product of the number of days (x) and the amount he spends per day( 3)

y =40-3x

As days pass by, John has less money (negative rate of change)

Judy's situation

The amount of money that Judy has in her savings account (y) is equal to the product of the number of days (x) and the amount he saves per day (20/2)

y = x (20/2)

3 0
2 years ago
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