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3 years ago

Find the value of each variable in the parallelogram

Mathematics

1 answer:

masya89 [10]3 years ago

8 0

Answer:

1. x = 15°

2. y = 12

Step-by-step explanation:

1. Determination of the value of x.

(5x – 5) + 110 = 180 (Adjacent angles add up to 180)

5x – 5 + 110 = 180

5x + 105 = 180

Collect like terms

5x = 180 – 105

5x = 75

Divide both side by 5

x = 75/5

x = 15°

2. Determination of the value of y.

3y – 4 = 2y + 8 (opposite sides are equal)

3y – 4 = 2y + 8

Collect like terms

3y – 2y = 8 + 4

y = 12

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3 years ago

A boat is pulled toward a dock by means of a rope wound on a drum that is located 6 ft above the bow of the boat. If the rope is

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Answer:

Step-by-step explanation:

Given that:

The height of the dock (h) = 6

Let represent d to be the distance between the boat and the dock

Let the length of the rope between the boat and the drum be denoted by (l)

Then, the rate of change for the length of the rope be:

dl/dt = -5 ft/s

Using Pythagoras rule to determine the relationship between these values, we have:

$l^2 = h^2 +d^2$

$l^2 = 6^2 + d^2$

$l^2 = 36 + d^2$

We relate to: $2l * \dfrac{dl}{dt} = 2d* \dfrac{dd}{dt}$

From the question;

l = 34,

So to find $\dfrac{dd}{dt}$ , we get;

$d = \sqrt{l^2 - 36}$

$d = \sqrt{34^2 - 36}$

$d = \sqrt{1156- 36}$

$d = \sqrt{1120}$

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So, we have:

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3 years ago

What is 50% of 64?

Dmitriy789 [7]

Answer:

50% = 50/100 = 0.5

20% = 20/100 = 0.2

25% = 25/100 = 0.25

10% = 10/100 = 0.1

Now let's begin our calculation

50% of 64=(0.5*64)=32

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25% of 16 = (0.25*16) =4

10% of 200=(0.1*200)=20

20% of 86=(0.2*86)=17.2

Step-by-step explanation:

Hope this helps <3

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