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3 years ago

If the sum of the interior angles of a polygon is 540, then how many sides does the polygon have?

1 answer:

8 0

Number of Sides = (Sum of Interior Angles ÷ 180) + 2
Number of Sides = (540/180) + 2
Number of Sides = 3 + 2
Number of Sides = 5
answer is A

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Nimfa-mama [501]

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4 years ago

8. Write the equation of the line that is parallel to the line 2x + 5y = 15 and passes through the

marissa [1.9K]

Answer:

$\sf y = \bold -\frac{2}{5} x -3$

Explanation:

part A identification for slope:

$\sf 2x + 5y = 15$

$\sf 5y = -2x + 15$

$\sf y = \frac{-2x + 15}{5}$

$\sf y = -\frac{2 }{5} x+3$

comparing with slope intercept form: y = mx + b

we can find that here the slope is $\bold -\frac{2}{5}$

part B, solving the equation:

if the line is parallel, then the slope will be same.

given coordinates: ( - 10, 1 )

using the equation:

y - y₁ = m( x - x₁ )

$\sf y - 1 = \bold -\frac{2}{5} (x --10)$

$\sf y = \bold -\frac{2}{5} x -4 + 1$

$\sf y = \bold -\frac{2}{5} x -3$

Extra information:

check the image below. this proves that the line is parallel and passes through point (-10, 1). the blue line is question line and red the answer line.

3 0

2 years ago

Read 2 more answers

Type A, type B, and type C lightbulbs are lasting longer today than ever before. On average, the number of bulb hours for a t

NNADVOKAT [17]

Answer:

Step-by-step explanation:

Let and be independent random variables representing the lifetime (in 100 hours) of Type A and Type B light bulbs, respectively. Both variables have exponential distributions, and the mean of X is 2 and the mean of Y is 3.

3 0

3 years ago

How do I simplify the answer of (y+3)(y-6)?

vlada-n [284]

This is actually a "product," not an "answer."

Nothing to simplify here. Instead, you are to multiply these two "binomials" together. Perhaps you've heard of the "FOIL method." If so, use it here.

y^2 + 3y - 6y - 18. Combining the middle terms, we get y^2 - 3y - 18. This is the simplest form of the product of (y+3)(y-6). Done.

4 0

3 years ago

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your grandmother got out of the hospital she was so excited she gave you some money you decided to go to Canada where the exchan

Kobotan [32]

Answer:

You have $10.600 Canadian dollars to spend.

Step-by-step explanation:

This problem can be solved by a rule of three.

In a rule of three problem, the first step is identifying the measures and how they are related, if their relationship is direct of inverse.

When the relationship between the measures is direct, as the value of one measure increases, the value of the other measure is going to increase too.

When the relationship between the measures is inverse, as the value of one measure increases, the value of the other measure will decrease.

In this problem, we have the following measures:

-The number of US dollars

-The number of Canadian dollars.

As the number of US dollars increases, so does the number of Canadian dollars, which means that the relationship between the measures is direct.

The problem states that $1 US dollar is $1.06 Canadian dollars. The problme wants to know how much $10000 is in Canadian dollars. So:

1 - 1.06

10000 - x

x = 10000*1.06

x = $10.600

You have $10.600 Canadian dollars to spend.

6 0

3 years ago