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Tatiana [17]
3 years ago
8

PLEASE HELP !!!!!!!! prove that segment DE is parallel to segment AB.

Mathematics
2 answers:
RideAnS [48]3 years ago
3 0
Angle A is equal to Angle D because they are opposite interior angles I believe. Same thing goes for angles B and E.
GaryK [48]3 years ago
3 0

Slope of AB = (0 - 0)/(x2 - 0) = 0

Slope of DE = (y1/2 - y1/2) / ((x1 + x2)/2 - (x1/2)) = 0

Both lines has same slopes and equal zero.

Two lines are parallel if their slopes are equal. So AB ║ DE

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The proof that point (1,root 3) lies on the circle that is centered at the origin and contains the point (0,2) is found in the t
AURORKA [14]
<h2>Answer:</h2>

D. Distance formula

<h2>Step-by-step explanation:</h2>

The \ \mathbf{distance} \ d \ between \ the \ \mathbf{points} \ (x_{1},y_{1}) \ and \ (x_{2},y_{2}) \ in \ the \ plane \ is:\\ \\ d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}

As in the statement:

<em>The distance form</em> (0,0) to (0,2) is \sqrt{(0-0)^2+(2-0)^2}=\sqrt{2^2}=2 <em>whose justification is the </em><em>Distance Formula. </em>

<em />

Here in this statement the justification is also the Distance Fromula, so we take the distance from (0,0) \ to \ (1,\sqrt{2}) whose result is also 2 and is the radius of the circle.

3 0
3 years ago
Read 2 more answers
A new car is purchased for 24600 dollars. The value of the car depreciates at 5.5% per year. To the nearest year, how long will
boyakko [2]

Answer:

The number of years until the value of the car is 11300 dollars is 9 years.

Step-by-step explanation:

This can be calculated using the following formula:

Value of the Car = Purchase cost - (Annual depreciation expenses * N) ........ (1)

Where;

N = Number of years until the value of the car is 11300 dollars

Purchase cost = $24,600

Annual depreciation rate = 5.5%

Annual depreciation expenses = $24,600 * 5.5% = $1,353

Value of the car = $11,300

Substituting the value into equation (1) and solve for N, we have:

$11,300 = $24,000 - ($1,353 * N)

$1,353 * N = $24,000 - $11,300

$1,353 * N = $12,700

N = $12,700 / $1,353

N = 9.38654841093865

Rounding to the nearest year as required by the question, we have:

N = 9

Therefore, the number of years until the value of the car is 11300 dollars is 9 years.

Step-by-step explanation:

4 0
3 years ago
If f(x)= 3x + 4, then what is f(-2)
iren [92.7K]

Answer:

f ( - 2 ) = - 2

Step-by-step explanation:

Step 1:

f ( x ) = 3x + 4        Equation

Step 2:

f ( - 2 ) = 3 ( - 2 ) + 4     Input x value

Step 3:

f ( - 2 ) = - 6 + 4       Combine Like Terms

Answer:

f ( - 2 ) = - 2          Combine Like Terms

Hope This Helps :)

6 0
3 years ago
Mrs Galicia gave her sisters $3000 each to invest. The investment will last 8 years. The table shows what each sister did with t
Fiesta28 [93]

Answer:

The answer is c

Step-by-step explanation:

My original answer got deleted i dont know the reason.

4 0
2 years ago
Consider the population of all 1-gallon cans of dusty rose paint manufactured by a particular paint company. Suppose that a norm
Artemon [7]

Answer:

a) 0.5.

b) 0.8413

c) 0.8413

d) 0.6826

e) 0.9332

f) 1

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 6, \sigma = 0.2

(a) P(x > 6) =

This is 1 subtracted by the pvalue of Z when X = 6. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{6-6}{0.2}

Z = 0

Z = 0 has a pvalue of 0.5.

1 - 0.5 = 0.5.

(b) P(x < 6.2)=

This is the pvalue of Z when X = 6.2. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{6.2-6}{0.2}

Z = 1

Z = 1 has a pvalue of 0.8413

(c) P(x ≤ 6.2) =

In the normal distribution, the probability of an exact value, for example, P(X = 6.2), is always zero, which means that P(x ≤ 6.2) = P(x < 6.2) = 0.8413.

(d) P(5.8 < x < 6.2) =

This is the pvalue of Z when X = 6.2 subtracted by the pvalue of Z when X  5.8.

X = 6.2

Z = \frac{X - \mu}{\sigma}

Z = \frac{6.2-6}{0.2}

Z = 1

Z = 1 has a pvalue of 0.8413

X = 5.8

Z = \frac{X - \mu}{\sigma}

Z = \frac{5.8-6}{0.2}

Z = -1

Z = -1 has a pvalue of 0.1587

0.8413 - 0.1587 = 0.6826

(e) P(x > 5.7) =

This is 1 subtracted by the pvalue of Z when X = 5.7.

Z = \frac{X - \mu}{\sigma}

Z = \frac{5.8-6}{0.2}

Z = -1.5

Z = -1.5 has a pvalue of 0.0668

1 - 0.0668 = 0.9332

(f) P(x > 5) =

This is 1 subtracted by the pvalue of Z when X = 5.

Z = \frac{X - \mu}{\sigma}

Z = \frac{5-6}{0.2}

Z = -5

Z = -5 has a pvalue of 0.

1 - 0 = 1

5 0
3 years ago
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