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spayn [35]
3 years ago
5

Transversal Problems with Equations (Level 1)

Mathematics
1 answer:
elena-14-01-66 [18.8K]3 years ago
8 0

Answer:

x is 21°

Step-by-step explanation:

The angles formed between the transversal <em>t</em> and lines <em>m</em> and <em>n</em> are; (8·x - 7)°, and (9·x - 28)°

Based on the similar location the angles are formed by the transversal, <em>t</em>, and lines <em>m</em> and <em>n</em>, the angles are corresponding angles

Given that lines, <em>m</em> and <em>n</em> are parallel, we have the corresponding angles formed by the transversal, <em>t</em>, and the lines are equal, therefore;

(8·x - 7)° = (9·x - 28)°

Simplifying the above equation to make <em>x</em> the subject, we get

(28 - 7)° = 9·x - 8·x = x

∴ 21° = x

x = 21°.

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In Exercise,find the balance in the account after 10 years.
djverab [1.8K]

Answer: The balance in the account after 10 years is $3374.65

Step-by-step explanation:

The exponential equation for growth [ compounded continuously] is

y=pe^{rt}

, where P= Present value

r= growth rate  ( in decimal)

t= time (years)

By considering the given information , we have

p=$2500  r = % =0.03  and t= 10

Substitute all the values in the above equation , we get

y=2500e^{0.03(10)}

y=2500e^{0.3}

y=2500(1.3498588)=3374.64701894\approx3374.65  [Round to the nearest cent]

Therefore, the balance in the account after 10 years is $3374.65

3 0
3 years ago
A small publishing company is planning to publish a new book. The production costs will include one-time fixed costs (such as ed
hammer [34]
<u>Information:</u>

Fixed Cost = $32,634
Variable Cost = $8.75 per book.
Selling Price = $24.50 per book.

<u>Define x:</u>

Let x be the number of books sold.

<u>Construct Equation:</u>

For production cost to be equal auto money from sales:
⇒ 24.5x = 32634 + 8.75x 

<u>Solve x:
</u>
24.5x = 32634 + 8.75x 

Take away 8.75x from both sides:
15.75x = 32634

Divide both sides by 15.75:
x = 2072

Answer: The publisher must sell 2072 books.
6 0
3 years ago
Trina, James, and Michael are training for a 10-kilometer race. After 30 minutes of a training run, Michael lead the group, and
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Answer:

1/3

Step-by-step explanation:

1/2 James' fraction of Michael

2/3 Trina's fraction of James

1/2 x 2/3 = 1/3

5 0
3 years ago
The diameter of a circle is equivalent to the
jasenka [17]

Answer:

Step-by-step explanation:

The diameter of a circle is twice the radius, so the statement is false.

6 0
3 years ago
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vlabodo [156]
That would be 4/6, or 2/3 simplified. As a percent, that would be 66%.

I hope this answer helped you! If you have any further questions or concerns, feel free to ask! :)
4 0
3 years ago
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