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3 years ago

Find the measure of one exterior angle for the following regular polygon.

Mathematics

2 answers:

JulsSmile [24]3 years ago

8 0

Answer:

72º

Step-by-step explanation:

Hey there!

Well the interior of a pentagon's angle is 108º,

so we do,

180 - 108 = 72º

Hope this helps :)

Bess [88]3 years ago

6 0

Answer:

72°

Step-by-step explanation:

→ First find the measure of all interior angle, utilise the formula (n-2) × 180° where n is the number of sides

(n-2) × 180° ⇔ (5-2) × 180° ⇔ 3 × 180° ⇔ 540°

→ 540° is the total sum of the angles in the pentagon, divide this by 5 to get one of the interior angles

540° ÷ 5 = 108°

→ Now, remember the fact that 1 interior + 1 exterior angle = 180°

180 - ( 1 interior angle ) → 180 - (108) = 72°

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Select the graph for the solution of the open sentence. Click until the correct graph appears. |x| > 3/2

Soloha48 [4]

ANSWER

See attachment

EXPLANATION

The given inequality is

$|x| \: > \: \frac{3}{2}$

This implies that,

$x\: > \: \frac{3}{2} \: or \: - x\: > \: \frac{3}{2}$

Multiply both sides of the second inequality by -1 and reverse the inequality sign.

$x\: > \: \frac{3}{2} \: or \: x\: < \: - \frac{3}{2}$

The graphical solution to this inequality is shown in the attachment.

7 0

2 years ago

Classify the number −25.

Andreyy89

Answer: a negative integer, rational number, and real number

Step-by-step explanation:

I don’t know exactly what you’re asking but here you go

4 0

3 years ago

Read 2 more answers

Using the quadratic formula to solve x2 + 20 = 2x, what are the values of x?

jeka94

by Quadratic formula , $x^2 + 20 = 2x$ , values of x are $x = 1 \pm (1)i\sqrt{19}}$ . None of mentioned options are correct according to question!

Step-by-step explanation:

Here we have , expression x2 + 20 = 2x or , $x^2 + 20 = 2x$ .

We know that Quadratic formula is :

$x = \frac{-b \pm \sqrt{b^{2}-4ac}}{2a}$

$x^2 + 20 = 2x$

⇒ $x^2-2x+20=0$

$a=1\\b=-2\\c=20$

Putting this value in equation $x = \frac{-b \pm \sqrt{b^{2}-4ac}}{2a}$ :

⇒ $x = \frac{-b \pm \sqrt{b^{2}-4ac}}{2a}$

⇒ $x = \frac{-(-2) \pm \sqrt{(-2)^{2}-4(1)(20)}}{2(1)}$

⇒ $x = \frac{2 \pm \sqrt{4-80}}{2}$

⇒ $x = (\frac{2 \pm 2i\sqrt{19}}{2})$

⇒ $x = 1 \pm (1)i\sqrt{19}}$

Therefore , by Quadratic formula , $x^2 + 20 = 2x$ , values of x are $x = 1 \pm (1)i\sqrt{19}}$ . None of mentioned options are correct according to question!

7 0

2 years ago

Need help on any number cause it is due tomorrow

Savatey [412]

I think the easiest way to answer all of these is to just go ahead and find the equation of the line first.

I'm pretty sure that by the time you see this problem, you've learned how to find
the equation of a line that passes through two given points. You have two points: (2, 100) and (5, 205). The equation of the line through them is
[ y = 35x + 30 ]. (That's the answer to #8.)

6). The initial membership fee ... the cost for walking in the door and signing up,
before any months, is $30. (Also the y-intercept.)

7). The cost per month is $35. (The slope of the line.)

8). We already did that, up above. [ y = 35x + 30 ].

9). 'x' in the equation is the number of months.
There are 12 months in one year.

y = 35(12) + 30 = $450

6 0

2 years ago

What is the value of n? n–2= 10n+ 4/2 Enter your answer in the box.

pentagon [3]

Answer:

-4 / 9

Step-by-step explanation:

n - 2 = 10n + 4/2

n - 10n = 4/2 + 2

-9n = 4/2 + 4/2 ( taking LCM of 4/2 and 2)

-9n = 8/2

-9n = 4

n = 4 / -9

therefore n = -4 /9 ( since the minus sign doesn't make a difference whether placed at numerator or denominator) .

7 0

3 years ago