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iVinArrow [24]
3 years ago
10

The equation is =360

Mathematics
1 answer:
frosja888 [35]3 years ago
3 0

Given:

Angles of the quadrilateral are 100°, 120°, 100° and x°.

To find:

The value of x.

Solution:

The sum of the angle measures of the quadrilateral is 360°.

\Rightarrow 100^\circ+120^\circ+100^\circ+x^\circ=360^\circ

\Rightarrow 320^\circ+x^\circ=360^\circ

Subtract 320° from both sides.

\Rightarrow 320^\circ+x^\circ-320^\circ=360^\circ-320^\circ

\Rightarrow x^\circ=40^\circ

The equation of 320 + x = 360.

The value of x is 40.

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3 years ago
Charlie runs a book rental business. He currently charges $3 per book and rents out an average of 38 books a day.
liberstina [14]

Answer:

b(x) = (3+0.5x) (38-4x)

Step-by-step explanation:

Let the generated revenue per day be b(x)

Let x be the number for every 50cents($0.5) price increase

Formula to be used to generate the revenue generated is expressed using the formula:

b(x) = Price × Quantity

Next is to derive the price and quantity function in terms of x.

For the price:

If he currently charges $3 per book

Let derive the price function for the model and x number of price increase for every 50 cents, then

Price = ($0.5 of x)+$3

Price = $3+$0.5x

Price = $(3+0.5x)

For the quantity:

Number of books rent out per day = 38

If for every 50cents increase in rental price x, the average business can expect to lose 4 rentals a day, then the total lost per quantity = 4x

Quantity per time = Number of books rent out daily - loss on each book

Quantity = $(38-4x)

Next is to substitute the price and quantity function into the revenue formula above:

Revenue = Price × Quantity

Revenue = (3+0.5x)(38-4x)

Hence the equation that models this scenario, where b(x) is the revenue generated and x is the number of 50 price increases is b(x) = (3+0.5x)(38-4x)

7 0
3 years ago
Find the measure of an angle whose measure is 60 degrees more than the measure of its complement
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2 years ago
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gtnhenbr [62]
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Multiply the perimeter of the base by the slant height of the figure, which is the line on the side of the figure that is diagonal.

Divide the answer you got from multiplying the perimeter of the base times the slant height of the base by 2.

Now add up the area of the base of the figure with the answer you just got by dividing the perimeter of the base times the slant height by 2.

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4 0
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