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aksik [14]
2 years ago
11

What is the value of x?

Mathematics
1 answer:
Alex777 [14]2 years ago
8 0

Answer:

Step-by-step explanation:

Corresponding angles are congruent

x² - 72 = 6x

x² - 6x - 72 = 0

Sum = -6

Product = -72

Factor = -12 , 6   {-12*6 = -72  & -12 +6 = -6}

x² + 6x - 12x -72 = 0

x(x + 6) - 12(x + 6) = 0

(x + 6)(x -12)=0   {Ignore x + 6 = 0 because angles won't be in negative}

x - 12 = 0

x = 12

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A retail outlet offers a retention bonus for each shopping season an employee remains with the company. Samuel's starting pay is
miv72 [106K]

Answer:

Samuel's hourly rate after n seasons with the company is f(n)= 12.50 + 0.35*n.  After 18 seasons with the company, Samuel's hourly rate will be 18.8 $ /hr.

Step-by-step explanation:

You know that Samuel's starting pay is $12.50/hr and for each season Samuel remains with the company, he receives a $0.35/hr raise.

Samuel's hourly rate after n seasons at the company will then be:

f(n)= 12.50 + 0.35*n

To determine the hourly rate after 18 seasons, you must replace the value n with 18:

f(18)= 12.50 + 0.35*18

Solving you get:

f(18)= 12.50 + 6.3

f(18)= 18.8

<u><em>Samuel's hourly rate after n seasons with the company is f(n)= 12.50 + 0.35*n.  After 18 seasons with the company, Samuel's hourly rate will be 18.8 $ /hr. </em></u>

6 0
3 years ago
The brand xyz dog food costs $36 for 15 pounds of dog food. What is the cost per pound?
HACTEHA [7]

Answer:

Step-by-step explanation:

36/$15 = $2.04 per pound

3 0
3 years ago
Read 2 more answers
Could someone please help me with this?
ella [17]
I'm not really sure, but I think the answer is D
7 0
3 years ago
A circle has a radius of 5.4 m. what is the exact length of an arc formed by a central angle measuring 60°? enter your answer in
velikii [3]

The length of the arc of the circle with a radius of 5.4 m and the central angle measuring 60° is 5.655 meters.

<h3>What is the Length of an Arc?</h3>

The length of an arc is given by the formula,

\rm{ Length\ of\ an\ Arc = 2\times \pi \times(radius)\times\dfrac{\theta}{360}

where

θ is the angle, which arc creates at the centre of the circle in degree.

The length of the arc of the circle with a radius of 5.4 m and the central angle measuring 60° can be written as

\text{Length of the Arc} = 2\pi r \dfrac{\theta}{360}

                            = 2 \times \pi \times 5.4 \times \dfrac{60}{360}\\\\=5.655\rm\ m

Hence, the length of the arc of the circle with a radius of 5.4 m and the central angle measuring 60° is 5.655 meters.

Learn more about Lenght of the Arc:

brainly.com/question/1577784

3 0
2 years ago
we said that the ratio of girls to boys in the class was 2:9. if there were 90 boys in the 9th grade, how many girls are there
Juliette [100K]

Answer:

20

Step-by-step explanation:

If the ratio of boys is 9 there are 90 boys. If 9=90 then 1= 10. 10 x 2 = 20

I hope this helps :0)

7 0
3 years ago
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