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4 years ago

When a transversal is perpendicular to two parallel lines, all the angles formed measure 90°. Explain why.

1 answer:

5 0

When two parallel lines are cut by a transversal, due to the natures of the different relationships among the angles, all of them will be either equal to the measure of the first angle or equal to that angle subtracted from 180. If the transversal is perpendicular to the parallel lines, forms a right angle, then both the angle given and the angle subtracted from 180 will be 90. This means all of the angles will be 90.

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Hello, can someone help with this problem?

Vera_Pavlovna [14]

Answer:

P(5 ≤ X ≤ 8) = a rectangle with a width of 3 and height of .15 = 3(.15) = .45

P( 4 ≤ X ≤ 5) = a triangle with a base of 1 and a height of (0.15 -0.05) = .10

So....this area = (1/2)(1)(.10) = .05

And another rectangle with a width of 1 and height of .05 = (1) (.05) = .05

Adding these areas

P( 4 ≤ X ≤ 8 ) = .45 + .05 + .05 = .55

Step-by-step explanation:

Hoped this helped!

8 0

2 years ago

Pleaseeee help I already have the graph.

vekshin1

Answer: 5x + 2y = 8 = x=-2/5y+8/5

y = 3x - 7= x= 1/3y+7/3

Step-by-step explanation:

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3 years ago

What is the volume of this sphere?

Angelina_Jolie [31]

<h3>given:</h3>

radius= 4 m

the volume of the given sphere.

<h3>solution:</h3>

$v = \frac{4}{3} \pi {r}^{3}$

$v = \frac{4}{3} \times 3.14 \times {4}^{3}$

$v = 267.9466667 \: {m}^{3}$

$v = 267.95 \: {m}^{3}$

therefore, the volume of the given sphere is 267.95 cubic meters.

3 0

2 years ago

John wants to buy a new game for his computer. He can save $12 a week if he mows his neighbor's lawn and $10 a week if he babysi

kykrilka [37]

It depends on how much the computer game costs.

4 0

3 years ago

Interest centers around the life of an electronic component. Let A be the event that the component fails a particular test and B

nekit [7.7K]

Answer: a. 0.61

b. 0.37

c. 0.63

Step-by-step explanation:

From the question,

P(A) = 0.39 and P(B) = 0.24

P(success) + P( failure) = 1

A) What is the probability that the component does not fail the test?

Since A is the event that the component fails a particular test, the probability that the component does not fail the test will be P(success). This will be:

= 1 - P(A)

= 1 - 0.39

= 0.61

B) What is the probability that a component works perfectly well (i.e., neither displays strain nor fails the test)?

This will be the probability that the component does not fail the test minus the event that the component displays strain but does not actually fail. This will be:

= [1 - P(A)] - P(B)

= 0.61 - 0.24

= 0.37

C) What is the probability that the component either fails or shows strain in the test?

This will simply be:

= 1 - P(probability that a component works perfectly well)

= 1 - 0.37

= 0.63

3 0

3 years ago