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a_sh-v [17]
3 years ago
15

∡C and ∡D are supplementary angles. If m∡D is nine less than twice m∡C, find m∡D.

Mathematics
1 answer:
Gala2k [10]3 years ago
6 0

Answer:

D is 117

Step-by-step explanation:

Let the measure of angle C be x

The measure of D is 9 less than twice C

Mathematically that is 2x-9

If both are supplementary, they add up to be 180

Thus;

x + 2x - 9 = 180

3x = 180 + 9

x = 189/3

x = 63

Recall;

D = 2x-9= 2(63) -9 = 126 -9 = 117

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<h2>Answer with explanation:</h2>

Let x denotes the number of days and y denotes the total change in gas price ( in dollars).

Given : During the past seven days the price of regular gas is decreased by $0.2 each day.

Rate of decrease =$0.2 per day

Then , Total change in gas price = Rate of decrease x Number of days

i.e.y= 0.2 \times x

i.e. y=0.2x         (1)

To find the total change in gas price in 7 days , we put x= 7 in (1) , we get

y=0.2(7)=1.4    

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3 years ago
Two teams of movers are lowering a piano from the window of a 10 floor apartment building. The rope breaks when the piano is 30
GuDViN [60]

By solving the motion equations for the piano, we will see that they have 0.7 seconds to react.

<h3>How to find the motion equation for the piano.</h3>

So the piano is in a free fall from a height of 30m.

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<h3>How long takes to fall?</h3>

We want to find the value of t such that the position is equal to zero, so we need to solve:

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6.1 s^2 = t^2

√(6.1 s^2) = 2.5s = t

This means that the piano falls to the ground in 2.5 seconds.

But the workes notice it when the piano is 14 meters above the ground, it happens when:

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Solving that we get:

30m - 14m =  (1/2)*(9.8m/s^2)*t^2

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If you want to learn more about motion equations, you can read:

brainly.com/question/2473092

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Answer:

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Answer:

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