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siniylev [52]
3 years ago
7

Please help me, the attachment is below. (If you don't know the answer to the question please don't answer, thank you.)

Mathematics
1 answer:
Liono4ka [1.6K]3 years ago
8 0

Answer:

See Below.

Step-by-step explanation:

Paragraph Proof:

We are given that ∠1 ≅ ∠4. ∠1 and ∠4 are alternate exterior angles. Since they are congruent, by the Alternate Exterior Angles Converse, the two lines being cut by the transversal must be parallel. Then by the Alternate Interior Angles Theorem, ∠3 ≅ ∠2.

2-Column Proof

 Statements                                               Reasons:

1) \angle 1\cong \angle 4                                                    Given

2) \text{The two lines are parallel}                        Alternate Exterior Angles Converse

3) \angle 3\cong \angle 2                                                  Alternate Interior Angles Theorem

I would write a flowchart as well, but unfortunately, I never learned it that way.

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Seventy-eigth hundred-thousandths​
s2008m [1.1K]

The decimal number for seventy eight hundred-thousandths is 5.

<h3>What is decimal number?</h3>

A decimal is a number that consists of a whole and a fractional part

The decimal numeral system is the standard system for denoting integer and non-integer numbers.

What is the decimal number for seventy eight hundred-thousandths?

= 78 x 10⁻⁵

<u>note</u>: a hundred thousandth = 10⁻⁵

= 0.00078

Thus, the decimal number for seventy eight hundred-thousandths is 5.

Learn more about decimal number here: brainly.com/question/1827193

#SPJ1

8 0
11 months ago
Which statement is always true?
kykrilka [37]
So the answer is that the negative export cannot be part of an expressions numerator here is a website that can help you know or explain more my my answer hope this helped https://www.purplemath.com/modules/exponent2.htm or this website

7 0
3 years ago
The distribution of income tax refunds follow an approximate normal distribution with a mean of $7010 and a standard deviation o
Andrej [43]

Answer:

A refund must be above $7,139 before it is audited.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 7010, standard deviation = 43.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

The empirical rule is symmetric, which means that the lowest (100-99.7)/2 = 0.15% is at least 3 standard deviations below the mean, and the upper 0.15% is at least 3 standard deviations above the mean.

Use the Empirical Rule to determine approximately above what dollar value must a refund be before it is audited.

3 standard deviations above the mean, so:

7010 + 3*43 = 7139.

A refund must be above $7,139 before it is audited.

5 0
2 years ago
How to I write 1/8 without using a fraction bar ( it wants me to use exponents)
oksano4ka [1.4K]
2^-3

two raised to negative three
6 0
3 years ago
Read 2 more answers
A total of $2,000 is invested at an annual interest rate of 2%. Find the balance in the account after
Anit [1.1K]

Answer:

<u>The balance in the account after 10 years is US$ 2,442.81</u>

Step-by-step explanation:

1. Let's review the data given to us for answering the question:

Investment amount = US$ 2,000

Duration of the investment = 10 years

Annual interest rate = 2% compounded continuously

2. Let's find the future value of this investment after 10 years, using the following formula:

FV = PV * eˣ ⁿ

PV = Investment = US$ 2,000

number of periods (n) = 10 (10 years compounded continuously)

rate (x) = 2% = 0.02

e = 2.71828 (Euler's number)

Replacing with the real values, we have:

FV = 2,000 * (2.71828)^0.02*10

FV = 2,000 * 2.71828^0.2

FV = 2,000 * 1.2214027

<u>FV = US$ 2,442.81</u>

8 0
3 years ago
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