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Marianna [84]
3 years ago
8

Two vertical angles have measures of 3x and x+50. The x= Select one: a. 25 b. 50 c. 32.5 d. 10

Mathematics
2 answers:
KIM [24]3 years ago
8 0

Answer:

a. 25

Step-by-step explanation:

Note that the specifically state that they are vertical angles. This means that the two measurements should equal each other. Set the two expressions equal to each other, and isolate the x. Note the equal sign, what you do to one side, you do to the other:

3x = x + 50

Subtract x from both sides to isolate the x:

3x (-x) = x (-x) + 50

3x - x = 50

2x = 50

Isolate the x, divide 2 from both sides:

(2x)/2 = (50)/2

x = 50/2

x = 25

x = 25, or (a) 25 is your answer.

~

ArbitrLikvidat [17]3 years ago
5 0

Answer:

25

Step-by-step explanation:

Vertical angles are congruent, hence

3x = x + 50 ( subtract x from both sides )

2x = 50 ( divide both sides by 2 )

x = 25 → a

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270 miles

Step-by-step explanation:

So is A is going faster than B so A will reach the destination first.

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Let's find out.

To solve this problem, the following will come in handy:

Speed=distance/time or time*Speed=distance or time=distance/speed .

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T_A=\frac{390}{S_A}

T_A=\frac{390}{65}

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So it will take bus A 6 hours to cover the distance of 390 miles.

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T_B=\frac{390}{45}

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So it would have taken bus B 8.\overline{6} hours to cover a distance of 390 miles.

So the time difference is 8.\overline{6}-6=2.\overline{6} hours.

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4 0
3 years ago
You are given two algebraic equations, y = 3x, and 2y = x + 20. Solve for x and y.
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Answer:

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Step-by-step explanation:

multiply y=3x by 2

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=> x=-4

put x=-4 into y=3x

=> y=3(-4)

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3 years ago
The weight of a car is modeled with the polynomial x2 + 10x + 200. The weight of a x3 + x + 100. Which polynomial represents the
Zolol [24]
<h3>The combined weight of a car and truck is given as the polynomial   P(W) = x³ + x² + 11 x + 300</h3>

Step-by-step explanation:

The weight of the car is given as:

P(C)  =  x² + 10 x  + 200

The weight of the truck is given as:

P(T)  =  x³ +  x  + 100

Now, the combined weight of both vehicles is given as

= Weight of Car P(C)   + Weight of Truck P(T)

P(W)  = x² + 10 x  + 200 +  x³ +  x  + 100

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⇒ The combined weight of a car and truck is given as the polynomial P(W) = x³ + x² + 11 x + 300

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