How do you know if a situation represents a proportional relationship?

1 answer:

7 0

If the relationship between two quantities is a proportional relationship, this relationship can be represented by the graph of a straight line through the origin with a slope equal to the unit rate. For each point (x, y) on the graph, ž is equal to k, where k is the unit rate. The point (1, k) is a point on the graph.

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How to find the number of sides of a polygon when given the interior angle sum

wariber [46]

Given:

Sum of interior angle

To find:

Number of sides of a polygon

Solution:

Using sum of interior angles formula:

$$S=(n-2) \times 180^{\circ}$

where "S" is the sum of interior angels and "n" is the number of sides of a polygon.

Divide by 180° on both sides.

$$\frac{S}{180^{\circ}}=\frac{(n-2) \times 180^{\circ}}{180^{\circ}}$

Cancel common factor 180°.

$$\frac{S}{180^{\circ}}=n-2$

Add 2 on both sides.

$$\frac{S}{180^{\circ}}+2=n-2+2$

$$\frac{S}{180^{\circ}}+2=n$

Switch the sides.

$$n=\frac{sum}{180^{\circ}}+2$

Therefore number of sides of a polygon is $n=\frac{sum}{180^{\circ}}+2$ .

3 0

3 years ago

A student rolls a standard number cube. What is the probability the student rolled a 4, given that the number rolled was greater

Temka [501]

Answer:1/5

Step-by-step explanation:

8 0

3 years ago

Which of the following steps can be performed so that the square root property may easily be applied to 2x2 = 16? (1 point)

Ivan

Answer:

$\Large \boxed{\mathrm{Option \ 2}}$

Step-by-step explanation:

$2x^2 =16$

The square root property requires a quantity squared by itself on one side of the equation. The only quantity squared is x, so divide both sides by 2 before applying the square root property.

The x variable should be isolated on one side of the equation. The x variable is squared so before performing the square root property where we take the square root of both sides, we divide both sides by 2, then take the square root of both sides.

Dividing both sides by 2.

$\displaystyle \frac{2x^2 }{2} =\frac{16}{2}$