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andreyandreev [35.5K]
2 years ago
15

What is the number of sides in a regular polygon when the measure of each interior angle is 162?

Mathematics
1 answer:
Ira Lisetskai [31]2 years ago
8 0

Answer:

20

Step-by-step explanation:

interior angle + exterior angle = 180°

162° + exterior angle = 180° ( subtract 162° from both sides )

exterior angle = 18°

the sum of the exterior angles of a polygon = 360° , then

number of sides = 360° ÷ 18° = 20

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bonnie runs 1 2/3 times as far as john each day if bonnie runs 5 miles on monday 3 1/2 miles on tuesday and 5 3/4 miles on wedne
nignag [31]

Answer:

3 miles on Monday

2¹/₁₀ miles on Tuesday

3⁹/₂₀ miles on Wednesday

Step-by-step explanation:

We are told that Bonnie runs 1⅔ (⁵/₃) times as far as John each day

This means that John runs ³/₅ times as far as Bonnie.

MONDAY:

Bonnie runs 5 miles on Monday, therefore, John runs:

³/₅ * 5 = 3 miles

TUESDAY:

Bonnie runs 3½ (⁷/₂) miles on Tuesday, therefore, John runs:

³/₅ * ⁷/₂ = ²¹/₁₀ = 2¹/₁₀ miles

WEDNESDAY:

Bonnie runs 5³/₄ (²³/₄) miles on Wednesday, therefore, John runs:

³/₅ * ²³/₄ = ⁶⁹/₂₀ = 3⁹/₂₀ miles

6 0
3 years ago
Rationalize the denominator. write it in simplest terms<br><br>    3<br>------<br>√12x
Softa [21]
The idea being, you multiply top and bottom by a value that will raise the radicand in the denominator, to the same as the root, thus coming out of the root, so, let's do so

\bf \cfrac{3}{\sqrt{12x}}\cdot \cfrac{\sqrt{12x}}{\sqrt{12x}}\implies \cfrac{3\sqrt{12x}}{\sqrt{(12x)^2}}\implies \cfrac{3\sqrt{12x}}{12x}\implies \cfrac{\sqrt{12x}}{4x}
4 0
4 years ago
Earth has a mass of 5.9736×10 to the 24power what is that in standard form
malfutka [58]
<span>5.9736 ×10 to the 24power =
</span>
5,973,600,000,000,000,000,000,000
Incidentally, that is kilograms.

<span />
6 0
3 years ago
Alex ran 0.5 mile. What number should replace the? to make a fraction equivalent to 0.5?
-BARSIC- [3]
5/10, or 1/2 as 5/10 is a half (1/2)
7 0
3 years ago
Read 2 more answers
Given the function f(x) = 2(x + 6), find x if f(x) = 22.
Gre4nikov [31]
If f(x)=22 AND f(x)=2(x+6), then 22=2(x+6) and to solve for x it's just:
2x+12=22 -> 2x=10 -> x=5
7 0
3 years ago
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