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KonstantinChe [14]
3 years ago
10

An auto repair shop charged a customer $496 to repair a car. The bill listed $96 for parts and the remainder for labor. If the c

ost of labor is $40 per hour, how many hours of labor did it take to repair the car?
Mathematics
1 answer:
Tpy6a [65]3 years ago
3 0
It took 10 hours of labor to repair the car
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A number decreased by the total of the number and fourteen
Charra [1.4K]

The answer to this would be x-(x+14)

Here's an explanation:

Let x represent the unknown number. The problem says that x has been decreased by the sum of x and 14. So, to put this in a form of an equation, it would be x-(x+14), since you have to do the addition first before you can subtract the two number since you don't know what x is. This equation is equal to -14 no matter what x is.

4 0
3 years ago
In the circle below, suppose m VUX = 152° and mZUVW = 77º. Find the following.
bezimeni [28]

Given:

In the circle, m(\overarc{VUX})=152^\circ and m(\angle MUV)=77^\circ.

To find:

The following measures:

(a) m\angle VUX

(b) m\angle UXW

Solution:

According to the central angle theorem, the central angle is always twice of the subtended angle intercepted on the same same arc.

m(VUX)=2\times m\angle VWX

152^\circ=2\times m\angle VWX

\dfrac{152^\circ}{2}=m\angle VWX

76^\circ=m\angle VWX

In a cyclic quadrilateral, the opposite angles are supplementary angles.

UVWX is a cyclic quadrilateral. So,

m\angle VUX+m\angle VWX=180^\circ          [Opposite angles of a cyclic quadrilateral]

m\angle VUX+76^\circ=180^\circ

m\angle VUX=180^\circ-76^\circ

m\angle VUX=104^\circ

Now,

m\angle UXW+m\angle UVW=180^\circ          [Opposite angles of a cyclic quadrilateral]

m\angle UXW+77^\circ =180^\circ

m\angle UXW=180^\circ-77^\circ

m\angle UXW=103^\circ

Therefore, m\angle VUX=104^\circ  and m\angle UXW=103^\circ .

7 0
3 years ago
If UV = 6 and TV = 12, what is TU?
love history [14]

Answer:

TU = 6

Step-by-step explanation:

Using the Segment Addition Postulate, we know that TU + UV = TV, and since UV = 6 and TV = 12, we know that TU + 6 = 12, therefore, TU = 6.

3 0
3 years ago
Explain why f(x) =√2+x - √2/x, is not continuous at x = 0.<br> Picture provided below.
IrinaK [193]

Answer: A

Step-by-step explanation:

If you put 0 in for x, then you would be dividing by 0. Dividing by 0 is always undefined.

3 0
3 years ago
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On a 1616 scale drawing of a bike, one part is 3 inches long. How long will the actual bike part be?
gregori [183]
4848 inches is how long the bike will be
5 0
3 years ago
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