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Oxana [17]
3 years ago
15

One exterior angle of a regular pentagon has a measure of (2x). What is the value of x?

Mathematics
1 answer:
777dan777 [17]3 years ago
6 0

x = 36

pentagon has 5 sides . The formula n/360 gives you the measure of each angle in a regular polygon. So in this case n ( stands for number of sides) is 5. Sum of exterior angle of a any polygon is 360. The measure of 1 exterior angle is given. It is 2x.

Now using ALGEBRAIC EXPRESSIONS we can write it as 5/360 = 2x

which is 72=2x

which is 72/2 = x

which is 36 = x

so x = 36.

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bulgar [2K]

Answer:

y=3r+5

Step-by-step explanation:

Break up the sentance.

Capon city has 5 more than 3 times as many residents as harbor city.

The sentance above can be written like this: y=5+3x. Since they want r to represent the number of people in Harbor city, use r in place of x.

Capon city=y

has=equal sign

5 more=+5

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4 0
3 years ago
What is the answer to this? −1.3≥2.9−0.6r
Karolina [17]

Answer:

Inequality Form:

r ≥ 7

Interval Notation:

[7, ∞)

Step-by-step explanation:

−1.3 ≥ 2.9 − 0.6r

Rewrite so r is on the left side of the inequality.

2.9 − 0.6r  ≤ −1.3

Move all terms not containing r to the right side of the inequality.  

Subtract 2.9 from both sides of the inequality.

−0.6r  ≤ −1.3 − 2.9

Subtract 2.9 from −1.3.

−0.6r  ≤ −4.2

Divide each term by −0.6 and simplify.

      Divide each  term in −0.6r  ≤ −4.2 by −0.6. When multiplying or dividing both sides of an

      inequality by a negative value, f lip the direction of the inequality sign.

       −0.6r /−0.6 ≥  −4.2 /−0.6

       Cancel the common factor of −0.6.

                  −4.2

          r ≥    ______

                  −0.6

 Divide −4.2 by −0.6.

r ≥ 7

The result can be shown in multiple forms.

Inequality Form:

r ≥ 7

Interval Notation:

[7, ∞)

6 0
3 years ago
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dangina [55]

Answer:

Another way to name <UST is

<TSU

7 0
3 years ago
In a classroom new rug was bought. The area of the Rug is 252 sq m. The rug is 14 m wide.
Brrunno [24]
The length of the rug would be 18m
LxW=A
14x18=252
4 0
3 years ago
Answer asap, please<br> needed by 2:00 pm
myrzilka [38]

Answer:

x < -3

Step-by-step explanation:

The domain in which the function is increasing or getting bigger is from x is negative infinity to  is -3

x < -3

7 0
3 years ago
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