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2 years ago

Line x and line z are straight lines.

Mathematics

1 answer:

sashaice [31]2 years ago

3 0

Answer:

$\angle c$ and $\angle e$

Step-by-step explanation:

Given

See attachment

Required

Identify the vertical angles

Keynotes

Vertical angles opposite one another
Vertical angles are equal to one another

Using the keynote as a reference, we have the following observation from the attachment:

$\angle c$ and $\angle e$ are opposite

$\angle c$ and $\angle e$ are congruent

Hence:

$\angle c$ and $\angle e$ are vertical

<em>(d) is correct</em>

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Priscilla invests $10,000 in an account that compounds interest continuously and earns 11%. How long will it take for her money

Shkiper50 [21]

Answer:

Step-by-step explanation:

When the interest compounds continuously, our formula is

$A(t)=Pe^{rt}$

If we start with 10000 and are looking for how long, t, it takes to double, we are looking for how long it will take for our account to have 2 times 10000. That's 20000. Therefore, our equation is

$20000=10000e^{.11t}$

Divide both sides by 10000 to get

$2=e^{.11t}$

Take the natural log of both sides to "undo" that e:

$ln(2)=ln(e^{.11t})$

Again, since ln and e undo each other what we have now is

ln(2) = .11t and

$\frac{ln(2)}{.11}=t$ so

t = 6.3 years

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2 years ago

For each pair of numbers, tell: By what percent of the first number is the second number larger? By what percent of the second n

marishachu [46]

The answer for the first question is 10%.
Reason: The second number (110) is larger than the first number (100) by 10 it is 10% the first number.
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The answer for the second question is 25%, also.
Reason: The first number (100) is smaller than the second number (110) by 10 and it is 9.1% of the second number.
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3 0

3 years ago

abraham has 16 blue marbles and 18 rwd marbles. if he wamts to place them in identical groups without any marbles left over

VladimirAG [237]

Answer:

If Abraham divides them into 2 separate groups, he should have 17 marbles on each group.

Step-by-step explanation:

8 0

2 years ago

In a proportional relationship, how can you determine the unit rate while looking at the graph?

Alexxandr [17]

It depends which Graph it is. so which graph is it?
when you have it comment on this and ill tell you!

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3 years ago

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Plot and connect the points A(4, 6), B(4, 0), C(1, -3), and D(1, 3), and find the area of the parallelogram formed.

fgiga [73]

I got C. 20 square units.

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Hope this helps!! :-)

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2 years ago

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