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Alisiya [41]
4 years ago
6

Find three consecutive odd integers whose sum is -45. Find the largest integer

Mathematics
2 answers:
9966 [12]4 years ago
8 0
The largest integer is -13 siiiiirrr that is your answer
Troyanec [42]4 years ago
6 0

x = the first integer.

x + 2 = the second integer.

x + 4 = the third integer.

x + x + 2 + x + 4 = -45

Combine like terms.

3x + 6 = -45

Subtract 6 from both sides.

3x = -51

Divide both sides by 3

x = -17

x + 2 = -17 + 2 = -15

x + 4 = -17 + 4 = -13

The largest integer is -13

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The measure of an exterior angle of a regular polygon is given below. Find the measure of an interior angle. Then find the numbe
FromTheMoon [43]

Answer:

Internal angle = 160^\circ

Number of sides = 18

Step-by-step explanation:

Given that:

We have a regular polygon with number of sides unknown.

Measure of an exterior angle of the polygon = 20^\circ

To find:

Measure of an interior angle and the number of sides of the polygon?

Solution:

Let us have a look at the relation of sum of external angles.

Sum of one internal angle and its corresponding external angle = 180^\circ

Internal angle + external angle = 180^\circ

Internal angle = 180^\circ - 20^\circ = 160^\circ

Sum of all the external of a regular polygon = 360^\circ

All the external angles will be equal because it is a regular polygon.

Let the number of sides = n

Therefore,

n \times 20^\circ = 360^\circ\\\Rightarrow n = 18

Therefore, the answers are:

Internal angle = 160^\circ

Number of sides = 18

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Step-by-step explanation:

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