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Nastasia [14]
2 years ago
13

Describe why alternate interior angles are not always congruent?

Mathematics
2 answers:
Ugo [173]2 years ago
5 0

Answer:

The Alternate Interior Angles Theorem states that, when two parallel lines are cut by a transversal , the resulting alternate interior angles are congruent .

notsponge [240]2 years ago
4 0

Answer:

Alternate angles are always interior so in that case they will never meet up or join each other. hope this helps !

Step-by-step explanation:

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Step-by-step explanation:

6 0
2 years ago
We have 9 cards numbered 1 to 9. Two cards are drawn at random. What is the probability that the sum of the drawn cards is a pri
emmainna [20.7K]
There are 5 cards less than nine that are prime, so there is a 5/9 chance of picking the first one prime. The second one would be 4/8 or 1/2, because you have removed a card from the deck. You multiply them together to get: 5/18. 

Hope this helps!
6 0
3 years ago
To find the angle of rotation θ between the previous x and y axes and the new x′ and y′ axes, we use the formula: cotangent of 2
Tamiku [17]

The equation is the given one:

\cot 2\theta=\frac{A-C}{B}

Which is the same as:

\tan 2\theta=\frac{B}{A-C}

And the interval of the angle θ must be (0°,90°) so, 2θ must be (0°,180°).

So the statement is True.

7 0
1 year ago
What is the slope of the line?
12345 [234]

You can find the slope using the following formula:

\begin{gathered} m=\frac{y2-y1}{x2-x1} \\ where\colon \\ (x1,y1)=(0,2) \\ (x2,y2)=(1,0) \\ m=\frac{0-2}{1-0}=\frac{-2}{1}=-2 \end{gathered}

8 0
1 year ago
To estimate the height of a mountain, two students find the angle of elevation from a point (at ground level) b = 800 meters fro
Nady [450]

Answer: The height of the mountain is 1,331.4 meters (approximately)

Step-by-step explanation: From the information given, the students were standing at point b which is 800 meters from the base of the mountain and the angle of elevation from that point is 59°. Assuming that the ground is level, we can derive a right angled triangle from this set of details and hence we have triangle ABC, where angle β is the reference angle, (59 degrees), BC is the distance from the students to the base of the mountain (800 meters) and the line AC is the height of the mountain.

The line AC is the opposite, since angle B is the reference angle, therefore we shall use the trigonometric ratio as follows;

Tan β = opposite/adjacent

Tan 59 = AC/800

Tan 59 x 800 = AC

1.6643 x 800 = AC

1331.44 = AC

AC ≈ 1331.4

Therefore the height of the mountain is approximately 1,331.4 meters

6 0
3 years ago
Read 2 more answers
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