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3 years ago

Find the measure of each interior angle

Mathematics

1 answer:

arsen [322]3 years ago

8 0

Answer:

∠J = 115

∠N = 65

∠M = 50

∠K = 130

Step-by-step explanation:

Sum of all the angles = 360

2x + 15 + x + 15 +x + 3x - 20 = 360

Combine like terms

2x + x + x + 3x + 15 + 15 - 20 = 360

7x + 10 = 360

7x = 360 - 10

7x = 350

x = 350/7

x = 50

∠J = 2x + 15 = 2*50 + 15 = 100+15 = 115

∠N = x +15 = 50 +15 = 65

∠M = x = 50

∠K = 3x - 20 = 3*50 - 20 = 150 - 20 = 130

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Determine the lengths of the sides of the rectangle using the given area. Give answers both exactly and

Degger [83]

Answer:

Part a) Exactly values

The width of the rectangle is $\frac{\sqrt{70}}{2}\ cm$

The length of the rectangle is $2\sqrt{70}\ cm$

Part b) Approximately values

The width of the rectangle is $4.2\ cm$

The length of the rectangle is $16.7\ cm$

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

The area of rectangle is equal to

$A=LW$

we have

$L=4x\ cm\\W=x\ cm$

substitute the values in the formula

$A=4x(x)$

$A=4x^2$

$A=70\ cm^2$

$70=4x^2$

Solve for x

Divide by 4 both sides

$\frac{70}{4}=x^2$

square root both sides

$x=(+/-)\frac{\sqrt{70}}{2}$

The solution is the positive value

$x=\frac{\sqrt{70}}{2}$

therefore

Exactly values

$L=4\sqrt{70}}{2}=2\sqrt{70}\ cm\\\\W=\frac{\sqrt{70}}{2}\ cm$

Approximately values

$L=4\sqrt{70}}{2}=16.7\ cm\\\\W=\frac{\sqrt{70}}{2}=4.2\ cm$

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3 years ago

Multiply the polynomial expressions below,

AlekseyPX

Answer:

Step-by-step explanation:

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4 years ago

At the train station, the cost for parking is based on an hourly fee. Patrons that park for 2 hours or less are charged at the s

Aleksandr-060686 [28]

Answer:

Step-by-step explanation:

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3 years ago

Read 2 more answers

Marketing Chapter 3 Test Questions

butalik [34]

Step-by-step explanation:

1.) The average nightly ticket sales can be calculated as

Average sales = Average no. of customers per night x Charge per ticket

For the second night, we have

$1750 = (N)($7)

This gives us N = 250.

So, the average number of customers decreased as a result of the price increase.

To calculate the percentage change, we use the following formula:

% change = $\frac{250 -300}{300} X 100$

We have -17% change in the average number of customers the theater has each night. The negative sign indicates a decrease in the number, which is consistent with our calculations.

2.) % change in prices = $\frac{Final price - Initial price}{Initial price} X100$

Therefore, we have 40% change in the cost of ticket per person, which reflects an increase in the prices.

3.) Elasticity of Demand = $\frac{ percentage change in quantity demanded}{percentage change in price}$

Hence, we have $\frac{-17}{40}$ = -0.425

This stands consistent with the Law of Demand - as the price increases, the quantity demanded decreases.

4.) Market price is obtained by looking for a point where the quantity supplied equals the quantity demanded. From the table we see that at $75 price, there is a demand for 45,000 units of that product in that market, which the suppliers are willing to supply. Hence, that defines the market price for that product.

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4 years ago

*If you add two integers with different signs, how can you tell whether the sum will be positive, negative, or zero?

irina [24]

Answer:

Please see explanation

Step-by-step explanation:

When two integers are being added there can be three cases in the answer

Positive

The sum will be positive if both the integers are positive and in case of addition of one positive and negative integer, the sum will be positive if the integer with larger magnitude is positive

Negative

The sum will be negative if both integers are negative and in case of addition of one positive and negative integer, the sum will be negative if the integer with larger magnitude is negative

Zero

The sum will be zero if both the integers have same magnitude and different signs.

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3 years ago