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2 years ago

. Complete the missing steps in the paragraph proof of Theorem 3-8.

Mathematics

1 answer:

Crank2 years ago

8 0

To solve for the missing steps, let's rewrite first the problem.

Given:

In a plane, line m is perpendicular to line t or m⟂t
line n is perpendicular to line t or n⟂t

Required:

Prove that line m and n are parallel lines

Solution:

We know that line t is the transversal of the lines m and n.

With reference to the figure above,

∠ 2 and ∠ 6 are right angles by definition of perpendicular lines. This states that if two lines are perpendicular with each other, they intersect at right angles.

So ∠ 2 ≅ ∠ 6. Since corresponding angles are congruent.

Therefore, line m and line n are parallel lines.

ANSWERS: perpendicular lines, corresponding

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You invest $5000 in an account at 5.5% per year simple interest. How much will you have in the account at the beginning of the 6

NeX [460]

Answer:

The amount in the account in the beginning of the 6th year is $6375 .

Step-by-step explanation:

Formula

$Simple\ interest = \frac{Principle\times Rate\ times Time}{100}$

As given

You invest $5000 in an account at 5.5% per year simple interest.

Principle = $ 5000

Rate = 5.5 %

Time = 5 years

(As calculate amount in the account for beginning of 6th year.)

Putting all the values in the formula

$Simple\ interest = \frac{5000\times 5.5\times 5}{100}$

$Simple\ interest = 50\times 5.5\times 5$

Simple interest = $ 1375

Amount = Principle + Simple interest

Putting values in the above formula

Amount = $5000 + $1375

Amount = $ 6375

Therefore the amount in the account in the beginning of the 6th year is $ 6375 .

8 0

3 years ago

Ted says that 3 tenths multiplied by 100 equals 300 thousands.is he correct? Use. Place value chart to explain your anwer

abruzzese [7]

Yes he is correct because the 3 was in the tenths place. so say that the 3 is in the ones place multiply it by 10 and equales 3000. so you are just taking one zero with it

4 0

2 years ago

Read 2 more answers

Quiz 3

erica [24]

Complete question :

The data below represents the number of customers at each Slurpee Sam's Spaghetti Shop. 24, 25, 29, 30, 31, 31, 32, 34, 34. Which box plot correctly summarizes the data?

Answer:

Step-by-step explanation:

BOX plots provide information about :

Minimum, Lower quartile, Median, Upper quartile and maximum value of a dataset.

Given the dataset :

24, 25, 29, 30, 31, 31, 32, 34, 34

Minimum value = 24 (Lowest value in the dataset)

First quartile (Q1) = 1/4(n+1)th term

Q1 = 1/4 * 10 = 10/4 = 2.5th term = (25+29)/2 = 27

Second quartile ; median (Q2) = 1/2(n+1)th term

Q2 = 1/2(n+1)th term = 1/2(10) = 5th = 31

Third quartile (Q3) = 3/4(n+1)th term

Q3 = 3/4(n+1)th term = 3/4(10) = 30/4 = 7.5th term = (7th +8th) term = (32 + 34) / 2 = 66/2 = 33

Maximum value = 34 (Highest value in the dataset)

First dot = minimum value

Last dot = maximum value

First line of box = QI

mid line = median

End line of box = Q3

4 0

2 years ago

Complete the rule: positive + negative -

aivan3 [116]

Answer: If you have a positive and a negative, there is one dash left over, and the answer is negative.

7 0

2 years ago

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It rained 18 days during the month of April what percentage of day did it not rain during the month of April

kotykmax [81]

There are 30 days in April.

If 18 days had rain, it means 12 didn't.

18/30=x/100

Make sure both fractions can be made into fractions with a denominator of 100:

180/300=x/100

Divide 180/300 by 3:

60/100=x/100

This shows that the 18 days that did rain take up 60% of the whole month.

So then the remaining 12 days that didn't have rain must take up 40% of the month.

Solution:
40% of the days did not have rain during the month of April

6 0

2 years ago