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3 years ago

Angle formed by two parallel lines cut by a third line. These angles are in the same position and have the same angle measure

Mathematics

1 answer:

Korvikt [17]3 years ago

7 0

Answer:

Corresponding angles

Step-by-step explanation:

The name of these angels lying in the same position are called corresponding angle.

These angles are equal. When we talk of parallel lines, they are sets of lines that travel in the same direction but never meet. The third line that cuts through the two sets of parallel lines is referred to as the transversal line.

So the positions of these angles on each of the set of the parallel lines are equal in each of the cases and they are equal and are referred to as being corresponding to each other

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A videp store took $450 in DVD rentals during one day . If DVDs rent for $9 each , how many DVDs were rented.

Masja [62]

Answer:

Step-by-step explanation:

let x = total DVD rentals

450=9x

450/9=x

50=x

50 DVDs were rented

4 0

2 years ago

Bill weighs 150 lbs. He wants to gain 2 lbs per week for football season. Jamal runs track. He wants to lose weight so he can ru

mars1129 [50]

The correct answer is:

15 weeks

Explanation:

Let w be the number of weeks. Bill weighs 150 pounds and wants to gain 2 lbs per week; this gives us the expression 150+2w for Bill.

Jamal weighs 195 and wants to lose 1 pound per week; this gives us the expression 195-1w for Jamal.

To determine how many weeks it will take them to weigh the same, we set the two expressions equal:

150+2w=195-1w

Add 1w to each side:

150+2w+1w = 195-1w+1w

150+3w = 195

Subtract 150 from each side:

150+3w-150 = 195-150

3w = 45

Divide each side by 3:

3w/3 = 45/3

w = 15

7 0

3 years ago

Read 2 more answers

Tracy needs to find the length and width of the equiptment storage room where she works. the room is 2 meters long than it is wi

ElenaW [278]

Rectangle:
P = 2 (L+W) but length is 2 meters longer than wide
then L = W + 2, So
P = 2 (L + W)
24 = 2(W+2+W)
24 = 2 (2 + 2W)
24 = 4 + 4W
So 4W = 24 -4 =20
W = 20/4= 5, L = 5+2= 7

Double check
24 = 2*(5+7) = 2 *12 = 24

4 0

3 years ago

Read 2 more answers

Simplify. -2(x+3)+6x

brilliants [131]

−2(x+3)+6x

Distribute:

=(−2)(x)+(−2)(3)+6x

=−2x+−6+6x

Combine Like Terms:

=−2x+−6+6x

=(−2x+6x)+(−6)

=4x+−6

4 0

3 years ago

A fly starts out 2 meters from a lightbulb, flies closer to the light, then farther away (2 meters again). At this point the fly

Lorico [155]

Answer

f(t)=2cos(t)

Step-by-step explanation:

let's describe the situation first, a fly is starting 2 meters from the bulb and flies towards the bulb and when it is really close to the bulb, it flies 2 meters further away from the bulb this means that it reaches d = 0m (distance from the bulb) and then flies further 2 meters so d = -2m.

it this point the fly returns back and touches the bulb and flies away (ends it's oscillatory motion ). d = 0 again and story ends here.

here if we want to model this problem with time function , the cosine function seems the best fit with amplitude of 2, so the answer is f(t) = 2cos(t).

Now you can ask why cosine function? well if you look at the graph or the plot of the function it perfectly captures the physical situation going on here in this problem.

Domain is 0 to 2 $\pi$ because it is one complete cycle and the range is -2 to +2.

6 0

3 years ago