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2 years ago

Find the value of that makes m ll n.

Mathematics

1 answer:

Alja [10]2 years ago

8 0

Answer: x = 108

Step-by-step explanation: In this problem, we're given a diagram and

we're asked to find the value of x that would make m ll n.

We can see that the angles that are marked in the diagram

are same-side interior angles since they lie on the same side

of the transversal and they lie on the interior of lines m and n.

Therefore, in order for line m to be parallel to line n,

these angles must be supplementary.

In other words, they must add to 180 degrees.

So we can setup the equation x + 72 = 180.

Subtracting 72 from both sides gives us x = 108.

So the value of x that would make line m ll n is 108.

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Complete the square for 5x^2+10x-16.

Lelechka [254]

Answer = 5(x+1)^2 -21

5 {x^2 + 2x } - 16

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3 years ago

The length of a rectangle is 2m more that it's width. The perimeter is 60m. What is its width?

Naddik [55]

Answer: The width is 14m

Step-by-step explanation: The question has provided the perimeter as 60. The available clues are such that the length measures 2m more than it's width. This means whatever is the width of the rectangle, the length shall be equal to plus 2. Hence, if the width is W, the length is W + 2.

So we have,

Perimeter = 60

Length = W + 2 and

Width = W

Already the perimeter is given as

Perimeter = 2(L + W)

We can now express the perimeter as follows;

60 = 2(W + 2 + W)

60 = 2(2 + 2W)

By cross multiplication we now have

60/2 = 2 + 2W

30 = 2 + 2W

Subtract 2 from both sides of the equation

28 = 2W

Divide both sides of the equation by 2

14 = W.

Remember that the length is given as W + 2, so the length becomes

14 + 2 = 16

Therefore, the width equals 14 m.

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3 years ago

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3 years ago

Which is bigger 4/6 or .77

jok3333 [9.3K]

First, let's convert 0.77 to a fraction.

$\frac{0.77}{1}$

Multiply by 100

$\frac{77}{100}$

Now make the denominators the same, to make it easier to find which fraction is greater. We can do this by finding the LCM of the denominators, then however many times the denominator goes into that number, we multiply the numerator by the same amount.

For example, the LCM of 100 and 6, is 300. 6 goes into 300 50 times, so the numerator for 4/6 is 200 (4 x 50 = 200). :)

$\frac{200}{300} \ \textless \ \frac{231}{300}$

The answer is 0.77 is greater than 4/6. :)

Hopefully this helps! If you have any more questions or don't understand, feel free to DM me, and I'll get back to you ASAP! :)

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