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3 years ago

What is the measure of angle c?

Mathematics

1 answer:

Bond [772]3 years ago

5 0

Answer:

83.5°

Step-by-step explanation:

so sum of angles of triangle is 180°

now here

x+(4x)+(5x-13) = 180°

10x-13 =180°

x= 19.3

so angle c will be 5x-13

5(19.3) - 13 = 83.5

so angle c is 83.5

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Step-by-step explanation:

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Let p be "it is raining" and q be "the track meet will be canceled."<br> write p->q in words

trasher [3.6K]

The statement for the logic $\text{p}\rightarrow\text{q}$ is $\fbox{\begin\\\ \text{If it is raining then the track meet will be cancelled}\\\end{minispace}}$

Further explanation:

The logic given in the question is $\text{p}\rightarrow\text{q}$ .

The logic $\text{p}\rightarrow\text{q}$ is a symbol of implication.

Statement p is “It is raining” and the statement q is “The track meet will be canceled”.

The statement formed for the logic $\text{p}\rightarrow\text{q}$ is called a compound statement.

The truth table for the logic $\text{p}\rightarrow\text{q}$ is attached below.

From the table attached below it is observed that there are four cases for the compound statement.

Case1:

If p statement is true and the q statement is true then the compound statement for $\text{p}\rightarrow\text{q}$ is also true.

Case 2:

If p statement is true and the q statement is false then the compound statement for $\text{p}\rightarrow\text{q}$ is false.

Case 3:

If p statement is false and the q statement is true then the compound statement for $\text{p}\rightarrow\text{q}$ is true.

Case 4:

If p statement is false and the q statement is false then the compound statement for $\text{p}\rightarrow\text{q}$ is true.

For a true statement it can also be said that it is a positive statement and for a false statement it can be said that it is a negative statement.

Statement p is given as “It is raining”, which is a positive statement or a true statement.

Statement q is given as “The track meet will be cancelled”, which is a positive statement or a true statement.

As per the table attached for the logic $\text{p}\rightarrow\text{q}$ it is observed that the given statements p and q resembles with the case $1$ as both of the statement are true.

So, the compound statement for $\text{p}\rightarrow\text{q}$ is also a true statement.

The compound statement for the logic $\text{p}\rightarrow\text{q}$ is as follows:

$\fbox{\begin\\\ \text{If it is raining then the track meet will be cancelled}\\\end{minispace}}$

Therefore, the compound statement for the logic $\text{p}\rightarrow\text{q}$ is $\fbox{\begin\\\ \text{If it is raining then the track meet will be cancelled}\\\end{minispace}}$

Learn more:

A problem on composite function brainly.com/question/2142762
A problem on simplification brainly.com/question/894273
A problem in inverse function brainly.com/question/1632445

Answer details

Grade: High school

Subject: Mathematics

Chapter: Logic

Keywords: Logics, implications, compound, compound statement, true statement, false statement, positive statement, negative statement, p->q.

8 0

3 years ago

While constructing an equilateral triangle or a regular hexagon inscribed in a circle, you may have noticed that several smaller

Sauron [17]

Answer:

Using the transitive property of geometry, we proved that △PQR is an equilateral triangle.

Step-by-step explanation:

The diagram of the given scenario is in the attachment.

Here, PQ is the radius of circle Q

Also, PQ is the radius of circle P

Hence, circle-P and circle-Q have same radii.

Now, PQ=RQ as both are radii of circle Q

And PQ=PR, as both are radii of circle P

Hence as per transitive property, which states that, if any two angles, lines, or shapes are congruent to a third angle, line, or shape respectively, then the first two angles, lines, or shapes are also congruent to the third angle, line, or shape

PR=QR

Now, PQ = QR = PR

Hence, ∆PQR is equilateral.

For more explanation, refer the following link:

brainly.com/question/27884420

#SPJ10

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2 years ago