2 years ago

“If the alternate exterior angles are congruent, then the lines are parallel.”

1 answer:

5 0

The correct answer is <span>If the alternate exterior angles are not congruent, then the lines are not parallel.

The inverse one is the one with the nots in it. Although the fourth version also has nots, it is actually a contrapositive because of the virtue of its form. </span>

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2 years ago

Find the real solution(s) of the equation. Round your answer to two decimal places when appropriate. 5x^6=30

Elina [12.6K]

Answer:

The real solutions are

$x=\sqrt[6]{6}\approx 1.35\\\\\:x=-\sqrt[6]{6}\approx -1.35$

Step-by-step explanation:

The solution, or root, of an equation is any value or set of values that can be substituted into the equation to make it a true statement.

To find the real solutions of the equation $5x^6=30$ :

$\mathrm{Divide\:both\:sides\:by\:}5\\\\\frac{5x^6}{5}=\frac{30}{5}\\\\\mathrm{Simplify}\\\\x^6=6\\\\\mathrm{For\:}x^n=f\left(a\right)\mathrm{,\:n\:is\:even,\:the\:solutions\:are\:}x=\sqrt[n]{f\left(a\right)},\:-\sqrt[n]{f\left(a\right)}\\\\x=\sqrt[6]{6}\approx 1.35\\\\\:x=-\sqrt[6]{6}\approx -1.35$