Find the distance between the points (8, 1) and (0, 7)
2 answers:
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Answer:
Option C) Subtract 72° from 180°
Step-by-step explanation:
We are given the following in the question:
Measure of exterior angle = 72°
Properties of exterior angles:
- An exterior angle of a polygon is an angle at a vertex of the polygon but outside the polygon.
- It is formed by one side and the extension of an adjacent side.
- The interior and exterior angles are supplementary.
- Thus, the sum of the interior angle and the exterior angle is 180 degrees.
- All the exterior angles of a regular polygon are equal in measure.
Thus, we can write:
Let x degrees be the measure of the interior angle. Thus, we can write:
The measure of the interior angle is 108 degrees.
Thus, the correct answer is:
Option C) Subtract 72° from 180°
a. 80x > 420 will given the possible number of wall hangings to be sold for the profit to be positive.
b. The weaver must sell more than 5 wall hangings in order to make the profit positive.
Step-by-step explanation:
Amount spent on supplies = $420
Selling price of each wall hanging = $80
Let,
x be the number of wall hangings sold.
Selling price of x wall hangings = 80x
a. Write an inequality that gives the possible numbers w of wall hangings the weaver needs to sell in order for the profit to be positive.
In order for the profit to be positive, the weaver must sell wall hangings of worth more than the amount of supplies, therefore,
80x > 420
80x > 420 will given the possible number of wall hangings to be sold for the profit to be positive.
b. What are the possible numbers of wall hangings the weaver needs to sell in order for the profit to be positive?
Solving the inequality from part a;
80x > 420
Dividing both sides by 80
Rounding off the nearest whole number;
x>5
The weaver must sell more than 5 wall hangings in order to make the profit positive.
Keywords: inequality, division
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