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love history [14]
3 years ago
8

For the given conditional statement, determine which of the following option(s) has a truth value of true. Select all that apply

.
If a polygon is regular, then it has congruent angles and congruent sides.

conditional
converse
inverse
contrapositive
Mathematics
2 answers:
Paladinen [302]3 years ago
6 0

Answer:

Conditional  and Converse.

Step-by-step explanation:

If a polygon is regular, then it has congruent angles and congruent sides.

We can say that;

Hypothesis is : If a polygon is regular

Conclusion is : then it has congruent angles and congruent sides.

A conditional statement will not be true when the hypothesis is true but the conclusion is false. In  the given statement, the above conditional statement has a truth value of true.

We can write the converse statement as : If it has congruent angles and congruent sides, then the polygon is regular.  

This also has a truth value of true.

So, correct options are :

Conditional  and converse

Tpy6a [65]3 years ago
5 0
Conditional and Converse
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What is the answer to (3x) to the 5th power
viva [34]

Answer:

Step-by-step explanation:

Given that

(3x) is raised to power 5

(3x)^5

Then,

Using indices

(AB)ⁿ = Aⁿ•Bⁿ

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3 years ago
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SVEN [57.7K]

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2 years ago
Solve the following equation:
Rama09 [41]

Complete the square.

z^4 + z^2 - i\sqrt 3 = \left(z^2 + \dfrac12\right)^2 - \dfrac14 - i\sqrt3 = 0

\left(z^2 + \dfrac12\right)^2 = \dfrac{1 + 4\sqrt3\,i}4

Use de Moivre's theorem to compute the square roots of the right side.

w = \dfrac{1 + 4\sqrt3\,i}4 = \dfrac74 \exp\left(i \tan^{-1}(4\sqrt3)\right)

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Now, taking square roots on both sides, we have

z^2 + \dfrac12 = \pm w^{1/2}

z^2 = \dfrac{1+\sqrt3\,i}2 \text{ or } z^2 = -\dfrac{3+\sqrt3\,i}2

Use de Moivre's theorem again to take square roots on both sides.

w_1 = \dfrac{1+\sqrt3\,i}2 = \exp\left(i\dfrac\pi3\right)

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3 0
2 years ago
marcos had 1 1/3 gallons of punch left over. He poured all of it into several containers for family members to take home. use fr
kramer
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