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IrinaK [193]
3 years ago
5

A pair of parallel lines is cut by a transversal, as shown below.

Mathematics
2 answers:
ololo11 [35]3 years ago
8 0

Answer: The answer is 45

Step-by-step explanation:

MA_775_DIABLO [31]3 years ago
6 0

Answer:

x=45\degree

Step-by-step explanation:

In the diagram, the measure of the (x+30\degree) angle is equal to the 75\degree angle.

These two angles are alternate angles.

We therefore set up the following equation and solve for x.

x+30\degree =75\degree

\Rightarrow x =75\degree-30\degree

\Rightarrow x =45\degree

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Sum of two numbers is 45 and their product is 506. Find the numbers.
amid [387]
461 because you take 506-45 to find x(the unknown number)
3 0
3 years ago
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A car rental agency has 150 cars. The owner finds that at a price of $48 per day, he can rent all the cars. For each $2 increase
hram777 [196]
Given that for each <span>$2 increase in price, the demand is less and 4 fewer cars are rented.

Let x be the number of $2 increases in price, then the revenue from renting cars is given by
(48 + 2x) \times (150 - 4x)=7,200+108x-8x^2.

Also, given that f</span><span>or each car that is rented, there are routine maintenance costs of $5 per day, then the total cost of renting cars is given by
5(150-4x)=750-20x

Profit is given by revenue - cost.
Thus, the profit from renting cars is given by
</span><span>(7,200+108x-8x^2)-(750-20x)=6,450+128x-8x^2

For maximum profit, the differentiation of the profit function equals zero.
i.e.
</span><span>\frac{d}{dx} (6,450+128x-8x^2)=0 \\  \\ 128-16x=0 \\  \\ x= \frac{128}{16} =8

The price of renting a car is given by 48 + 2x = 48 + 2(8) = 48 + 16 = 64.

Therefore, the </span><span>rental charge will maximize profit is $64.</span>
3 0
3 years ago
Two airplanes left the same airport and arrived at the same destination at the same time. The first airplane left at 8:00 a.m. a
ddd [48]

The formula for distance is equal to:

d = v * t

where d is distance, v is velocity or speed, and t is time

 

Since the distance travelled by the two airplane is similar, therefore we can create the initial equation:

 

v1 * t1 = v2 * t2

 

We know that v1 = 496, and v2 = 558 so:

 

496 t1 = 558 t2

or

x = 558 t2 / 496

 

We also know that airplane 1 travelled 30 minutes (0.5 hours) earlier than airplane 2, therefore:

 

x = t2 + 0.5

 

Hence,

496 (t2 + 0.5) = 558 t2

496 t2 + 248 = 558 t2

t2 = 4 hours

 

x = t2 + 0.5 = 4 + 0.5

x = 4.5 hours

 

 

So the equation is:

x = 558 t2 / 496

 

And the first plane travelled:

x = 4.5 hours

5 0
2 years ago
The Boden family is taking a road trip across the US. After initially driving for awhile, the Bodens decide to make a plan to dr
kipiarov [429]

Answer:

202

Step-by-step explanation:

973-771=202

5 0
3 years ago
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Help please and no links
Rashid [163]

Answer:

I cant see the question :/

Step-by-step explanation:

7 0
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