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3 years ago

Determine which characteristics are true of vertical angles.

Mathematics

1 answer:

Hoochie [10]3 years ago

4 0

Answer:

First option: Yes.

Second option: Yes.

Third option: No.

Fourth option: Yes.

Step-by-step explanation:

By definition, vertical angles are formed when two lines intersect.

They share a common vertex and they are non-adjacents angles (adjacent angles are those have a common side and a common vertex. They are supplementary, which means that their sum is 180°); therefore they are opposite to each other.

Vertical angles are congruent, which means that they have equal measure.

The sum of the two pairs of vertical angles formed by the intersection of the lines, is 360°.

Observe the intersecting lines"A" and "B" in the picture attached. Notice that four angles are formed.

Based on the characteristics of vertical angles, we can conclude that:

$\angle1$ and $\angle3$ are vertical angles.

$\angle2$ and $\angle4$ are vertical angles.

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Assume that the probability of a defective computer component is 0.02. Components arerandomly selected. Find the probability tha

solmaris [256]

Answer:

0.0177 = 1.77% probability that the first defect is caused by the seventh component tested.

The expected number of components tested before a defective component is found is 50, with a variance of 0.0208.

Step-by-step explanation:

Assume that the probability of a defective computer component is 0.02. Components are randomly selected. Find the probability that the first defect is caused by the seventh component tested.

First six not defective, each with 0.98 probability.

7th defective, with 0.02 probability. So

$p = (0.98)^6*0.02 = 0.0177$

0.0177 = 1.77% probability that the first defect is caused by the seventh component tested.

Find the expected number and variance of the number of components tested before a defective component is found.

Inverse binomial distribution, with $p = 0.02$

Expected number before 1 defective(n = 1). So

$E = \frac{n}{p} = \frac{1}{0.02} = 50$

Variance is:

$V = \frac{np}{(1-p)^2} = \frac{0.02}{(1-0.02)^2} = 0.0208$

The expected number of components tested before a defective component is found is 50, with a variance of 0.0208.

5 0

3 years ago

Factorize that x^4+4y^4

ipn [44]

Answer:

(x² + 2y² + 2xy)(x² + 2y² - 2xy)

Step-by-step explanation:

<h3>Given binomial:</h3>

x⁴ + 4y⁴

In order to factorize it, follow the steps:

<h3>Complete the square:</h3>

x⁴ + 4y⁴ =
(x²)² + 2*(x²)*(2y²) + (2y²)² - 2*(x²)*(2y²) =
(x² + 2y²)² - (2xy)² =
(x² + 2y² + 2xy)(x² + 2y² - 2xy)

Used identities:

(a + b)² = a² + 2ab + b²
a² - b² = (a + b)(a - b)

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2 years ago

Based on your pattern, what would y be when x = 13?<br>answer asap!!

icang [17]

Answer:

14,17,20

Step-by-step explanation:

Holy crp I'm sooo sorry. I started studying for my classes and didn't see this.

The y's increase +3 for every positive 1.

4 0

3 years ago

Read 2 more answers

Help giving 13 ptsss

amm1812

0, 12, 36, 108
just plug n (1,2,3,4) into the equation and that’s your answer.

6 0

3 years ago

John bought a bag of lawn fertilizer that will cover 289 square feet. What

erik [133]

Answer:

17 feet

Step-by-step explanation:

A bag of lawn fertilizer covers 289 square feet

Dimensions of the largest square plot of lawn that the bag of fertilizer will cover.

Area of a square lawn = length^2

Area of the square lawn = 289 square feet

Area of a square lawn = length^2

289 = length^2

Find the square root of both sides

√289 = √length^2

17 = length

Length = 17 feet

Dimensions of the largest square plot of lawn that the bag of fertilizer will cover = 17 feet by 17 feet

8 0

3 years ago