Identify parallel and perpendicular lines

1 answer:

7 0

Parallel lines are those on a plane that do not intersect while perpendicular lines are those that intersect at an angle of 90°.

<h3 /><h3>How are parallel and perpendicular lines different?</h3>

Parallel lines will never intersect with each other and will maintain the same distance from each other for as long as they are on the same plane.

Perpendicular lines on the other hand will intersect each other and will do so at a 90° angle. An example of such a line is the steps on a ladder which intersect the beam at a 90° angle.

Find out more on parallel lines at brainly.com/question/24607467.

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I will do anything if you answer!!! There's a photo!!! PLEASE!!!

Makovka662 [10]

A, it's always true
remember commutative property
a+b=b+a
a and b can be negativ numbers

so equatinos
-5.2+7.71=2.51
7.71-5.2=2.51

-8.65+3.94=-4.62
3.94-8.65=-4.62

B.
-5.2-7.71=-12.91
7.71-(-5.2)=12.91

-8.65-3.94=-12.59
3.94-(-8.65)=12.59

always false

C. when you change the order, you are subtracting a different number from a different number than before

8 0

3 years ago

Consider a game in which players roll a number cube to determine the number of points earned. If a player rolls a prime number,

Aleksandr-060686 [28]

Answer:

The expected value of the points earned on a single roll in this game is $\dfrac{1}{6} = 0.1667$ .

Step-by-step explanation:

We are given that consider a game in which players roll a number cube to determine the number of points earned. If a player rolls a prime number, that many points will be added to the player’s total. Any other roll will be deducted from the player’s total.

Assuming that the numbered cube is a dice with numbers (1, 2, 3, 4, 5, and 6).

Here, the prime numbers are = 1, 2, 3 and 5

Numbers which are not prime = 4 and 6

This means that if the dice got the number 1, 2, 3 or 5, then that many points will be added to the player’s total and if the dice got the number 4 or 6, then that many points will get deducted from the player’s total.

Here, we have to make a probability distribution to find the expected value of the points earned on a single roll in this game.

Note that the probability of getting any of the specific number on the dice is $\dfrac{1}{6}$ .

Numbers on the dice (X) P(X)

+1 $\frac{1}{6}$

+2 $\frac{1}{6}$

+3 $\frac{1}{6}$

-4 $\frac{1}{6}$

+5 $\frac{1}{6}$

-6 $\frac{1}{6}$

Here (+) sign represent the addition in the player's total and (-) sign represents the deduction in the player's total.

Now, the expected value of X, E(X) = $\sum X \times P(X)$

= $(+1) \times \frac{1}{6} +(+2) \times \frac{1}{6} +(+3) \times \frac{1}{6} +(-4) \times \frac{1}{6} +(+5) \times \frac{1}{6} +(-6) \times \frac{1}{6}$