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AleksAgata [21]
3 years ago
9

In a coordinate plane, triangle ABC has vertices A(- 4, 5), B(- 4, - 4) , and C(3,-4), . Find the perimeter of triangle ABC to t

he nearest tenth.
Mathematics
1 answer:
4vir4ik [10]3 years ago
7 0

Answer: perimeter of triangle ABC to the nearest tenth = 27.4

Step-by-step explanation: Given that

vertices are

A(- 4, 5), B(- 4, - 4) , and C(3,-4)

Length AB = root( [-4-5]^2 + [-4+4]^2)

Length AB = sqr(9^2) = 9

Length AC = root( [-4-5]^2 + [3+4]^2)

Length AC = sqr( 9^2 + 7^2)

Length AC = sqr(130) = 11.4

Length BC = root( [-4+4]^2 + [3+4]^2)

Length BC = sqr( 7^2) = 7

Perimeter = 9 + 11.4 + 7 = 27.4

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What are the converse, inverse, and contrapositive of the following true conditional? What are the truth values of each?
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<span>In logic, the converse of a conditional statement is the result of reversing its two parts. For example, the statement P → Q, has the converse of Q → P.

For the given statement, 'If a figure is a rectangle, then it is a parallelogram.' the converse is 'if a figure is a parallelogram, then it is rectangle.'
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The inverse of a conditional statement is the result of negating both the hypothesis and conclusion of the conditional statement. For example, the inverse of P <span>→ Q is ~P </span><span>→ ~Q.
</span><span><span>For the given statement, 'If a figure is a rectangle, then it is a parallelogram.' the inverse is 'if a figure is not a rectangle, then it is not a parallelogram.'
As can be seen, the inverse statement is not true, hence the truth value of the inverse statement is false.</span>
</span>
The contrapositive of a conditional statement is switching the hypothesis and conclusion of the conditional statement and negating both. For example, the contrapositive of <span>P → Q is ~Q → ~P. </span>
<span><span>For the given statement, 'If a figure is a rectangle, then it is a parallelogram.' the contrapositive is 'if a figure is not a parallelogram, then it is not a rectangle.'
As can be seen, the contrapositive statement is true, hence the truth value of the contrapositive statement is true.</span> </span>
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