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3 years ago

Which of the following equations represents a line parallel to line t ?

Mathematics

1 answer:

kumpel [21]3 years ago

5 0

Answer:

Step-by-step explanation:

Consider the slope of the line is $\frac{y_{2}-y_{1}} {x_{2}-x_{1}}\\$

Then $\frac{1-3}{2-(-4)} = \frac{-2}{6} = \frac{-1}{3}$

Any option has the same slope but with any different y intercept would make it parallel, which is b in this case.

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What type of triangle is pictured in the following figure?

maks197457 [2]

This is an isosceles triangle. The angles in the legs are congruent therefore making the legs congruent as well. Hope this helps!

4 0

3 years ago

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What is the median of the following data set ? {3,4,2,8,5}

Varvara68 [4.7K]

4

Explanation:

3, 4, 2, 8, 5

arrange in ascending order

2, 3, 4, 5, 8

Identify the integer at the middle

median: 4

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2 years ago

Is this set closed or not closed under the operation ? Negative integers under multiplication

Romashka [77]

The set is not closed

Example:

-4 * -3 = 12 this is not a negative integer

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3 years ago

Find the hypotenuse of each isosceles right triangle when the legs are of the given measure. 6 sqrt 2

Gemiola [76]

Isosceles right triangles have two equal sides (a and b) that are not the hypotenuse (c). And when two sides are equal, so are their opposite angles. There are only 180° degrees in any triangles, thus the right angle = 90°, so 90 left for the two equal, means that 2x=90,
x = 45°.

There are several ways to go about solving a triangle like this. The best and easiest is simply to memorize that the hypotenuse is exactly root2 times the other sides. Or, each isosceles side is the hypotenuse (c) ÷ root2
$a = b = c \div \sqrt{2} \\ c = a\sqrt{2} \\ c = 6 \sqrt{2} \times \sqrt{2} = 6 \times 2 = 12$
Another way to do it is the longer proof of Pythagorean Theorem:
${c}^{2} = {a}^{2} + {b}^{2}... \: \: c = \sqrt{({a}^{2} + {b}^{2})} \\$
$c= \sqrt{({6 \sqrt{2}) }^{2} + ({6 \sqrt{2})}^{2}} \\ = \sqrt{(2 \times{(6 \sqrt{2} )}^{2} )} = \sqrt{2(36 \times 2)} \\ c = \sqrt{144} = 12$

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3 years ago

You're ordering a sandwich at the local deli, below is a tree diagram of the possible orders. What is the probability that your

dusya [7]

Answer:

Step-by-step explanation:

1. So there is two bread options but let's ignore that due every option being the same for both bread options.

2. So if you look there are three meat options meaning there is a one in three chance logical chance someone picks turkey (note when I say logical I mean that doesn't mean that this will be true in real life) and there is a one in two logical chance someone picks Swiss cheese.

3. So with a one in three chance logical meat option and a one two chance cheese option and.

4. Now knowing this it is simple math at this point as simple as $\frac{1}{3}$ x $\frac{1}{2}$

5. 1 x 1 = 1 and 3 x 2 = 6

6. leading to $\frac{1}{6}$

4 0

2 years ago