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timurjin [86]
3 years ago
14

Ten less than half of a number(x) is 6.

Mathematics
1 answer:
Likurg_2 [28]3 years ago
3 0

Answer:

x = 32

Step-by-step explanation:

Given the following data;

Unknown number = x

Translating the word problem into an algebraic equation, we have;

\frac {x}{2} - 10 = 6

Lowest common denominator (LCD) = 2

We multiply all through by 2;

2* \frac {x}{2} - 2*10 = 2*6

x - 20 = 12

x = 12 + 20

x = 32

Therefore, the unknown number is 32.

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You can solve this problem by using trigonometry. There are two scenarios with a parallelogram with sides 6 and 10. Either the base is 6 or the base is 10. I did both cases and they gave the same results. The answer is B, 45 degrees. My work is shown below:



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Help with this please
Alik [6]

Answer:

Yes, the given parallelogram is a rectangle.

Step-by-step explanation:

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The slope formula is

m=\frac{y_2-y_1}{x_2-x_1}

JK=\frac{4-0}{1-(-5)}=\frac{4}{6}=\frac{2}{3}

KL=\frac{1-4}{3-1}=\frac{-3}{2}

LM=\frac{-3-1}{-3-3}=\frac{-4}{-6}=\frac{2}{3}

JM=\frac{-3-0}{-3-(-5)}=\frac{-3}{2}

The slopes of opposites sides are same it means they are parallel to each other.

The product of slopes of two consecutive sides is

\frac{2}{3}\times \frac{-3}{2}=-1

Since the product of slopes of two consecutive sides is -1, therefore the consecutive sides are perpendicular to each other.

Yes, the given parallelogram is a rectangle.

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