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Anton [14]
2 years ago
10

Using the given picture, determine which 2 lines are parallel and which theorem proves it.

Mathematics
2 answers:
s2008m [1.1K]2 years ago
7 0

Answer:

(See below)

Step-by-step explanation:

First: alternate interior

Second: corresponding

Third: alternate exterior

Fourth: consecutive interior (the interiors add up to 180 degrees)

gtnhenbr [62]2 years ago
6 0

Answer:

mkmk

Step-by-step explanation:

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7 0
3 years ago
The highest elevation in a small country occurs on a mountain 1,232 meter above sea level, while the lowest elevation in the sam
Arte-miy333 [17]

Answer: 1,259 meters.

Step-by-step explanation:

GIven: The highest elevation in a small country occurs on a mountain above sea level = 1,232 meter

The lowest elevation in the same country occurs below sea level = -27 meters

The difference in elevation between the highest and lowest points = Highest - lowest

= 1232 - (-27) meters

= 1232+27 meters   [ (-)(-)=(+) ]

= 1259 meters

Hence, the difference in elevation between the highest and lowest points = 1,259 meters.

6 0
3 years ago
Calculate the volume of this prism<br> 20 cm<br> 30 cm<br> 10 cm
Ghella [55]

Answer:

6000(cm)^{3}

Step-by-step explanation:

30 \times 10 \times 20

300 \times 20

6000(cm)^{3}

<h3>Hope it is helpful...</h3>
5 0
3 years ago
How to factor 6n2 - 6n - 12
alexandr402 [8]

We see that in these 3 terms, 6 is a common factor. So, let's factor out a 6:

6n^2-6n-12 = 6(n^2-n-2)

We can set this equal to 0 and factor by using the quadratic formula which is:

x = \frac{-b \pm \sqrt{b^2-4ac} }{2a}

So, let's do just that:

6(n^2-n-2) = 0

Note that the 6 goes away if you divide both sides by 6. In this case, a = 1, b = -1, and c = -2. Let's plug that into the quadratic equation:

\frac{1 \pm \sqrt{(-1)^2-4(1)(-2)} }{2(1)} = \frac{-1 \pm \sqrt{1-(-8)} }{2}

\frac{-1 \pm \sqrt{9} }{2} = {1, -2}

So, we can write this as:

6n^2 - 6n - 12 = 6(n-1)(n+2)

Notice that the 6 comes back because it was only temporarily mad. And that the roots have opposite signs in the parentheses because to find the roots, you need to set each parentheses equal to 0 and solve for n. With that in mind, your final answer is 6(n-1)(n+2). Hope I could help you!

7 0
3 years ago
There are 10 students in a class: 3 boys and 7 girls. If the teacher picks a group of 3 at random, what is the probability that
Sladkaya [172]
2/3 is the probability
8 0
3 years ago
Read 2 more answers
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