The value of x that makes m║n is 40°
<h3>Line of transverse on parallel lines: </h3>
In geometry, the line that intersects two straight lines at distinct points is known as a transversal.
<h3>Corresponding angles: </h3>
The angles that are formed when two parallel lines are intersected by a third line i.e a transversal are corresponding angles.
Note:
Two corresponding angles are formed by a transversal with two parallel lines that are equal
Here we have
The angle made by the intersecting line with line m is 120°
And the angle made by the same line with line n is 3x°
Let us assume that m║n
From above observations
The given angle are corresponding angles
=> 3x° = 120°
=> x° = 40°
Therefore,
The value of x that makes m║n is 40°
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We need to find the probability of the card chosen at random is yellow or brown.
So, since there are 3 yellow cards and 7 brown cards, the total numbers of cards that are yellow or brown is:
Now, the probability that the chosen card is yellow or brown can be found by dividing the above value by the total number of cards in the box.
The total number of cards in the box is:
Thus, that probability is given by:
Therefore, the answer is:
Answer:
D is the correct answer! Hope it hepls!
Step-by-step explanation:
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Answer: so i think for part a , the first term is a subscrpit 0 which is 10. Then the formula for any term in the sequence is Ao x R ^n. So R =2 so
1st term = 10 ( 2^0)= 1
2nd term = 10 (2^1) =20
3rd term = 10 (2^2)= 40
4th = 80
5th = 160
Part B
The limit as n approaches infinity for a sub n when R is 0, 1 and 2. THE LIMIT FOR R of 0, 1 and 2 is infinity.
Part C...i will have to research...sorry
Step-by-step explanation: