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AlekseyPX
3 years ago
6

In the figure, the angles are formed by a transversal and two parallel lines. Which angles are congruent?

Mathematics
1 answer:
RUDIKE [14]3 years ago
3 0

Answer:

A is your correct answer.

1, 3, 5, and 7 are equal to each other and 2, 4, 6, and 8 are equal to each other.

Step-by-step explanation:

Congruent angles are angles that have the same measure. In this example, where two parallel lines are cut by a transversal line, the angles in the same position on the top line and bottom line are congruent. For example, angle 1 and 5 are in the same position, so they have the same measure.

Also, vertical angles (opposite angles, like 5 & 7 in your example) have the same measure.

Please let me know if you have questions about this.

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Nikitich [7]

Answer:

2

Step-by-step explanation:

The side has to be between the angles.

So, Angle1 - Side - Angle2

So, we can only swap the angles. So no other permutation is possible with the given conditions.

[If there's any problem with the solution, please inform me]

3 0
3 years ago
What does it mean when the point on a number line is open?
Aleks [24]
It means that value is not counted. it’s there but you don’t include it
3 0
3 years ago
A leprechaun places a magic penny under a girls pillow. The next night there are 2 magic pennies under her pillow. The following
kiruha [24]

Answer:

<em>After </em><em>47</em><em> days she will have more than 90 trillion pennies.</em>

Step-by-step explanation:

At the beginning there was 1 penny. At the second day the amount of pennies under the pillow became 2.

The amount of pennies doubled each day. So the series is,

1,2,4,8,16,32,.....

This series is in geometric progression.

As the pennies from each of the previous days are not being stored away until more pennies magically appear so the sum of series will be,

S_n=\dfrac{a(r^n-1)}{r-1}

where,

a = initial term = 1,

r = common ratio = 2,

As we have find the number of days that would elapse before she has a total of more than 90 trillion, so

\Rightarrow 90\times 10^{12}\le \dfrac{1(2^n-1)}{2-1}

\Rightarrow 90\times 10^{12}\le \dfrac{2^n-1}{1}

\Rightarrow 90\times 10^{12}\le 2^n-1

\Rightarrow 2^n\ge 90\times 10^{12}+1

\Rightarrow \log 2^n\ge \log (90\times 10^{12}+1)

\Rightarrow n\times \log 2\ge \log (90\times 10^{12}+1)

\Rightarrow n \ge \dfrac{\log (90\times 10^{12}+1)}{\log 2}

\Rightarrow n \ge 46.4

\Rightarrow n\approx 47


8 0
3 years ago
Please help. I will be constantly asking questions on the app to finish a class and i only have a day​
alekssr [168]

Answer: C 0\leq y\leq 5

Step-by-step explanation:

8 0
3 years ago
ILL MARK BRAINIEST IF YOU DO THIS CORRECTLY!!!
ehidna [41]

Answer:

76 percent done.

Step-by-step explanation:

Reasoning for this if its 76/100 you know that it will be 76. Or im Just got confused.

7 0
2 years ago
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