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2 years ago

Solve for x in the diagram below.

Mathematics

2 answers:

Neko [114]2 years ago

6 0

Answer:

X = 15

Step-by-step explanation:

We can tell that the two sides that show the degrees are equal because of the arc. We can set up a simple equation:

x + 45 = 60

x = 15

Degger [83]2 years ago

5 0

<u>Answer:</u>

x = 15°

<u>Explanation:</u>

The two marked angles are equal as they are vertically opposite angles.

∴ x + 45° = 60°

⇒ x = 60° - 45°

⇒ x = 15°

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Given the functions, fx) = x - 8 and g(x) = x2 + x - 1, perform the indicated operation. When applicable, state the domain

adell [148]

Answer:

Step-by-step explanation:

(fg)(x) = f(x) × g(x)

= (x - 8)(x² + x - 1)

Each term in the second factor is multiplied by each term in the first factor, that is

x(x² + x - 1) - 8(x² + x - 1) ← distribute both parenthesis

= x³ + x² - x - 8x² - 8x + 8 ← collect like terms

= x³ - 7x² - 9x + 8 → A

There are no restrictions on the domain.

4 0

3 years ago

A 943-foot tree has grown at a constant rate each year. In the equation below, t is the age of the three in years.

Mazyrski [523]

Answer:

B. 41 feet per year

Step-by-step explanation:

943/23= 41

Total feet / coefficient= feet per year

7 0

2 years ago

Read 2 more answers

What is the area of the circle?

hodyreva [135]

Diameter = radius x 2

So, the radius is half of the denominator.

10 / 2 = 5

A = pi x r^2

A = pi x 5^2

A = 3 x 25

A = 75 ft^2

Hope this helps!

4 0

2 years ago

The average cost per person of attending an online class depends on the number of people attending. If 20 people attend, the web

kondaur [170]

Answer:

The last table given See attached image)

Step-by-step explanation:

Notice that they are asking for the inverse function to the one with the detailed relationship given. The original relationship was assigning to the Domain of number of people attending, the Range of values for charges.

Therefore, the inverse function will be assigning in the opposite way: from the average charges (now the Domain of this relationship), to the number of people attending (now the Range of this relationship). The relationship should also maintain the original element to element connection:

What was:

(20, $10) should now be ($10, 20)

(26, $6.25) should now be ($6.25, 26)

(35, $4) should now be ($4, 35)

This is exactly represented by the last table (see also image attached)