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AleksAgata [21]
3 years ago
13

Use the conditional statement to answer the question. If an angle is a right angle, then the angle measures 90°. Are the stateme

nt and its contrapositive true? The statement is true, but the contrapositive is false. Both the statement and its contrapositive are false. The statement is false, but the contrapositive is true. Both the statement and its contrapositive are true.
Mathematics
2 answers:
SVEN [57.7K]3 years ago
7 0
To answer this question, we need a strong understanding of what "contrapositive" means:
The contrapositive of a conditional statement flips the hypothesis and conclusion, and makes both negative.
Here is an example:
Conditional Statement: If I am sick, then I stay home from school.
Hypothesis: I am sick, Conclusion: I stay home from school
Contrapositive: If I do not stay home from school, I am not sick. 

What would be the contrapositive in our conditional statement?
Conditional Statement: <span>If an angle is a right angle, then the angle measures 90°
Contrapositive: If the angle does not measure 90</span>°, then the angle is not a right angle. 
In this case, both the conditional statement and the contrapositive are true. We know this because a 90° angle and a right angle are the same thing. 
RideAnS [48]3 years ago
3 0

Answer:

What would be the contrapositive in our conditional statement?

Conditional Statement: If an angle is a right angle, then the angle measures 90°

Contrapositive: If the angle does not measure 90°, then the angle is not a right angle. 

In this case, both the conditional statement and the contrapositive are true. We know this because a 90° angle and a right angle are the same thing. 

Read more on Brainly.com - brainly.com/question/5306301#readmore

Step-by-step explanation:

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From the given figure it is clear that the diagonals intersect each other and construct two pairs of vertically opposite angles.

Since 95^\circ and x^\circ are vertically opposite angles, therefore

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How do I find the inverse of this problem?
raketka [301]

\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}

Actually Welcome to the Concept of the Inverse of real function.

Let's consider here, g(n) = y ,

so we get as,

y =  \sqrt[3]{ \frac{n - 1}{2} }

no, cubing the power both side we get as,

=>

{y}^{3}  =  \frac{n - 1}{2}

now,

2 {y}^{3}  = n - 1

so finally, we get as,

=>

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hence,here, n = inverse of the g(n) function.

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Graph the solution set of this inequality: 5x − 4y &gt; 20.
Yanka [14]

Answer:

Step-by-step explanation:

Solve the inequality 5x − 4y > 20 for y, as follows:  Subtract 5x from both sides, obtaining:

-4y > 20 - 5x;

Then divide all terms by -4:

y    < -5 +(5/4)x, where the direction of the inequality sign has been reversed because of division by a negative quantity.

Temporarily replace the < symbol with =     obtaining    y = -5 +(5/4)x.  Now choose at least three x values and find the corresponding y values.  For example:

 x      y = -5 +(5/4)x  

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 4            0

 -8         -15

Now plot these three points (0, -5), (4, 0) and (-8, -15).  Draw a dashed line through them.  Because of the < symbol in y    < -5 +(5/4)x, shade the area underneath the dashed line.

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