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3 years ago

If p, q and r were three statements such that p → q and q → r then p → r, this is called

Mathematics

1 answer:

jarptica [38.1K]3 years ago

8 0

Answer: Law of syllogism

Step-by-step explanation:

Law of Syllogism is described as

a logical reasoning by using transitivity.
a valid argument that applies deductive reasoning to get the final statement.
it is similar to transitive property that if a=b and b=c then a=c.

So if p, q and r were three statements such that p → q and q → r then p → r, this is called <u>law of syllogism</u>.

For example: When Rita gets internet Shamy gets internet. When Shamy gets internet Raj gets internet.

By law of syllogism : When Rita gets internet Raj gets internet.

You might be interested in

What’s the radius of the circle?

const2013 [10]

Answer:

153m

Step-by-step explanation:

perimeter of an arc = theta/360 × 2πr

P= 17πm

theta = 20°

17πm= 20/360 × 2 × π × r

153πm = πr

r = 153m

7 0

3 years ago

If triangle ABC is isosceles and triangle DBE is equilateral what is the measure of angle C

luda_lava [24]

Answer:

43°

Step-by-step explanation:

For triangle ABC:

A = C so all we need to do is to calculate the value of B

The measure of angle ABD is given as 17° so the measure of angle EBC must be 17° as well

Since DBE is an equilateral triangle angle is DBE = 60°

17 + 17 + 60 = 94 this is the measure of angle B

The sum of interior angles in a triangle is equal to 180

A + B + C = 180

A + C + 94 = 180

A + C = 86 since A = C we divide 86 by 2

C = 43°

6 0

2 years ago

What is the simplified form of √144x^36

Nadusha1986 [10]

Answer:

The simplified form of $\sqrt{144x^{36}}$ is $12x^{18}$

Step-by-step explanation:

Given : $\sqrt{144x^{36}}$

We have to write the simplified form of $\sqrt{144x^{36}}$

Consider the given expression $\sqrt{144x^{36}}$

We know $\sqrt{144}=12$

and $\sqrt{x^{36}}=\sqrt{x^{18}\cdot x^{18}}$

Thus,

$\sqrt{144x^{36}}=\sqrt{12^2\cdot (x^{18})^2}$

Simplify, we have,

$=\sqrt{12^2\cdot (x^{18})^2}=12x^{18}$

Thus, The simplified form of $\sqrt{144x^{36}}$ is $12x^{18}$

6 0

2 years ago

Read 2 more answers

Sorry for all the questions but i also need these answered but i have no idea how to answer them..:)

Allisa [31]

Answer:

did you try 12÷ by the decimal form of 3/4

4 0

2 years ago

The sum of three consecutive integers is greater than 66. What is the smallest possible product of the largest and smallest of t

AysviL [449]

Answer:

528

Step-by-step explanation:

So naturally at first sight for this question we would think -->

Oh 3 consecutive integers = 66 --> 66/3 = 22 (n-1), (n+1) so --> 21, 22, and 23.

But no. At second look it is the sum of 3 consecutive integers is greater than 66. So we find the next possible pair since it says smallest possible product.

We get the set (22, 23, 24). => Multiply the least and greatest integers together respectively 22 and 24 which amounts to => 528

And thus, we have out answer of 528

Hope this helps!

4 0

2 years ago