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pshichka [43]
3 years ago
12

When to use brackets and parentheses polynomial inequalities?

Mathematics
1 answer:
Lerok [7]3 years ago
6 0
Given your answer is say x<3, "x is less than 3", that means that 3 is not included in your solution set. The interval (-∞, 3); note the use of parenthesis. If the interval is [-3,6), this means that in your solution 3 is included but not 6. That is to say, 3≤x<6. [3,6]; both are included. (3,6) none is included.
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Read 2 more answers
Find the interior angle sum for each polygon. Round your answer to the nearest tenth if needed
Lerok [7]

Answer:

1) 720

2) 540

3) x = -1

4) x = 10

Step-by-step explanation:

The formula for finding the sum of interior angles in a polygon is the following,

S=180(n-2)

Where (S) represents the sum of interior angles, and (n) represents the number of sides.

1)

The given polygon is a hexagon, meaning it has (6) sides. Substitute the number of sides into the formula and solve for the sum of interior angles.

S=180(n-2)

S=180(6-2)\\\\S=180(4)\\\\S = 720

2)

This polygon is a pentagon, meaning it has (5) sides. Substitute the number of sides into the formula and solve for the sum of interior angles.

S=180(n-2)

S=180(5-2)\\\\S=180(3)\\\\S=540

3)

The sum of interior angles in a triangle is (180) degrees. One can see that one of the measures of an angle is (90) degrees (indicated by the box around the angle). One can form an equation by adding up the expressions for the angle measures and setting it equal to (180) degrees.

(55) + (x + 36) + (90) = 180

Simplify,

181 + x = 180

Inverse operations,

181 + x = 180

x = -1

4)

The remote angles theorem states that when one extends one of the sides of a triangle, the angle formed between the side and the extension is equal to the sum of the two non-adjacent interior angles in the triangle. Based on this theorem, one can form an equation and solve for the unknown.

<F + <G = <FEZ

Substitute,

(4x) + (-5 + 7x) = 105

Simplify,

4x - 5 + 7x = 105

11x - 5 = 105

Inverse operations,

11x - 5 = 105

11x = 110

x = 10

6 0
3 years ago
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