PLS HELP ILL MARK AS BRAINLIST AND FOLLOW U

Let A be the set of all lines in the plane. Define a relation R on A as follows. For every l1 and l2 in A, l1 R l2 ⇔ l1 is paral

Lyrx [107]

Answer:

Hence, the relation R is a reflexive, symmetric and transitive relation.

Given :

A be the set of all lines in the plane and R is a relation on set A.

$R=\{l_1,l_2\in A|l_1 \;\text{is parallel to}\; l_2\}$

To find :

Which type of relation R on set A.

Explanation :

A relation R on a set A is called reflexive relation if every $a\in A$ then $(a,a)\in R$ .

So, the relation R is a reflexive relation because a line always parallels to itself.

A relation R on a set A is called Symmetric relation if $(a,b)\in R$ then $(b,a)\in R$ for all $a,b\in A$ .

So, the relation R is a symmetric relation because if a line $l_1$ is parallel to the line $l_2$ the always the line $l_2$ is parallel to the line $l_1$ .

A relation R on a set A is called transitive relation if $(a,b)\in R$ and $(b,c)\in R$ then $(a,c)\in R$ for all $a,b,c\in A$ .

So, the relation R is a transitive relation because if a line $l_1$ s parallel to the line $l_2$ and the line $l_2$ is parallel to the line $l_3$ then the always line $l_1$ is parallel to the line $l_3$ .

Therefore the relation R is a reflexive, symmetric and transitive relation.

7 0

3 years ago

Jamie has four pieces of fruit two of the pieces of fruit are bananas write two fractions that describe the fraction of fruit th

Degger [83]

Two out of four can be represented as:

2/4

OR

1/2

4 0

3 years ago

6. Mary and Steve each travel 845 miles. Mary drove an average of 5 mph faster than Steve and completed the trip in one hour's l

sattari [20]

Answer:

Steve had an average speed of 62.55 mph while Mary had an average speed of 67.55 mph

Step-by-step explanation:

Here, we want to calculate the average speed of each of the two.

From the question, we are told that Mary drove an average of 5 mph faster than steve.

So, let the average speed of Steve be x mph, this means that the average speed of Mary will be (x + 5) mph

Mathematically;

Time = distance/speed

Time taken by Steve = 845/x hours

Time taken by Mary = 845/(x + 5)

But Mary took an hour less to complete her own trip;

This means that;

if we add one hour to the time spent by Mary, then we will have the time spent by Steve

845/(x + 5) + 1 = 845/x

845/(x + 5) = 845/x -1

845/(x + 5) = (845 - x)/x

Cross multiply;

845(x) = (x + 5)(845-x)

845x = x(845-x) + 5(845-x)

845x = 845x-x^2 + 4225 - 5x

x^2 + 5x - 4225 = 0

We can solve this using the quadratic formula;

x = -b ± √(b^2 - 4ac)/2a

where a = 1 , b = 5 , c = -4225

x = -5 ± √(5^2 - 4(1)(-4225)/2(1)

x = -5 ± √(25 + 16,900)/2

x = -5 ± √(16,925)/2

x = (-5 + 130.1)/2 or (-5-130.1)/2

We ignore the negative side as speed cannot be negative

x = (-5 + 130.1)/2 = 62.548 which is approximately 62.55 mph

So steve’s speed is 62.55 mph while Mary’s speed = 62.55 + 5 = 67.55 mph

6 0

3 years ago

The freezing wind whipped my hair across my face and cut my hands with its blades. It howled in my ears like a dog baying at the

kobusy [5.1K]

Answer:

Touch

Step-by-step explanation:

You can feel the words "chilling" and "force".

6 0

4 years ago

What is the size of angle p ?

Kisachek [45]

Answer:

Since

△

P

Q

R

is a right-angled triangle, we can use the cosine or sine or tan rule to find the

∠

P

(1) Sine

sin

∠

P

=

opposite

hypotenuse

=

12

13

∠

P

=

sin

−

1

(

12

13

)

=

67.38

(2) Cosine

cos

∠

P

=

adjacent

hypotenuse

=

5

13

∠

P

=

cos

−

1

(

5

13

)

=

67.38

(3) tan

tan

∠

P

=

opposite

adjacent

=

12

5

∠

P

=

tan

−

1

(

12

5

)

=

67.38

4 0

3 years ago