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Alexeev081 [22]
3 years ago
5

(04.01 LC)

Mathematics
1 answer:
Marina CMI [18]3 years ago
7 0

Answer:

(D)Prove that opposite sides are congruent and that the slopes of consecutive sides are opposite reciprocals

Step-by-step explanation:

To use coordinate geometry to prove that quadrilateral ABCD is a rectangle. We prove that opposite sides are congruent in order to show equality of the lines.

We also show that the slopes of consecutive sides are opposite reciprocals, this is in order to show that the lines are perpendicular to one another.

<u>The correct option is D.</u>

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Answer:

2⁹

Step-by-step explanation:

Using the rule of Indices:

aⁿ x aˣ = aⁿ⁺ˣ

Hence: 2²⁺³⁺⁴

= 2⁹

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What 2.85 when rounded to the nearest hundreth
Nastasia [14]

Answer:

000 . bcoz 2.85 is the digit of once place

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3 years ago
Barbara made a bad investment. Rather than earning interest, her money is decreasing in value by 11% each week! After just one w
pochemuha

Answer: She started with $160.

It will take 6 weeks before she has less than half of what she originally invested.

Step-by-step explanation:

If her money is decreasing in value by 11% each week, it means that the rate at which it is decreasing is exponential.

We would apply the formula for exponential decay which is expressed as

A = P(1 - r)^t

Where

A represents the value of the investment after t weeks.

t represents the number of weeks.

P represents the initial value of the investment.

r represents rate of depreciation.

From the information given,

A = $142.40

r = 11% = 11/100 = 0.11

t = 1

Therefore

142.40 = P(1 - 0.11)^1

142.40 = P(0.89)

P = 142.4/0.89

P = 160

For her to have half of what she invested originally, then

80 = 160(0.89)^t

80/160 = (0.89)^t

0.5 = (0.89)^t

Taking log of both sides to base 10

Log 0.5 = log0.89^t = tlog0.89

- 0.3010 = - 0.051t

t = - 0.3010/- 0.051

t = 5.9

Approximately 6 weeks

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There you good luck with everything

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alukav5142 [94]

Answer:

Inequality

Step-by-step explanation:

Inequality is show a comparison between the two quantities which are unequal.

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≤  ⇒  less than or equal to

< ⇒ less than

≠ ⇒ not equal to

> ⇒ greater than

≥ greater than or equal to

<u><em>Kavinsky</em></u>

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2 years ago
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