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3 years ago

What is the measure of each exterior angle of a pentagon

Mathematics

1 answer:

Mademuasel [1]3 years ago

7 0

<h3>Answer: 72 degrees</h3>

n = 5 is the number of sides in a pentagon

360/n = 360/5 = 72 is the measure of each exterior angle of the regular pentagon. It has to be a regular polygon or else you could have some exterior angle measures that are different. A regular polygon has all sides equal to one another, and it also has all angles equal to one another.

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Which of the following is an extraneous solution of the square root of -3x-2=x+2

yarga [219]

Answer:

x=-6 is an extraneous solution

Step-by-step explanation:

we have

$\sqrt{-3x-2} =x+2$

squared both sides

$-3x-2=(x+2)^2$

$-3x-2=x^2+4x+4$

$x^2+7x+6=0$

solve the quadratic equation by graphing

The solution is x=-6 and x=-1

see the attached figure

<u><em>Verify each solution</em></u>

substitute the value of x in the original expression

For x=-6

$\sqrt{-3(-6)-2} =-6+2$

$\sqrt{16} =-4$

$4=-4$ ----> is not true

Is an extraneous solution

For x=-1

$\sqrt{-3(-1)-2} =-1+2$

$\sqrt{1} =1$

$1=1$ ----> is true

Is the solution

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3 years ago

Question: is 1 > 0.99999999...?<br>Prove algebraically.

Crazy boy [7]

No. We claim that $1=0.\overline{9}$ and use algebra to prove the statement.

Let $x=0.\overline{9}$ . Multiply this by ten to get $10x=9.\overline{9}$ . Subtract the initial equation to give $9x=9$ and divide by $9$ to see that $x=1$ . Substituting into the original equation gives $1=0.\overline{9}$ , proving the desired statement.

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3 years ago

Mr. Lyons is laying tile for the rectangular floor of a hotel lobby. The floor will be 38 tiles wide and 112 tiles long. He has

Dahasolnce [82]

GG lolololololololololololo

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Can some one please help . Thanks I appreciate it.

Anon25 [30]

Here you go.

Good luck!

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4 years ago

Which of the following is either a median or an altitude?

Blizzard [7]

Answer:

PR is an altitude

QT is a median.

Step-by-step explanation:

The altitude is the perpendicular height and the median is a line from 1 vertex to the middle of the opposite side.

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