Which of the following is an arithmetic sequence?
1 answer:
Answer:
B
Step-by-step explanation:
In an artihmetic sequence, there is a constant difference between two consecutive terms.
So for instance:
As you can see there is a difference of from one term to the next
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You can also find the constant difference the other way around, for instance
In this example, you can see that each term is higher than the previous term
I hope this helps!!
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Question 1:
Look at the first attached image.
We want to solve for the height of the smaller building. Let's start by making a right triangle with angle of 15 degrees and adjacent side of 51 m.
Let's solve for the other leg. Multiply the tangent with 51 m to get the length of the other leg.
Now, subtract that from 207 to get the height of the smaller building.
That's your answer.
Question 2:
The angle of elevation is congruent to the angle of depression because they are alternate interior angles.
Thus, you can choose the 1st and 4th choices as your answer.
Question 3:
Look at the second attached image.
Angle E is congruent to angle D for the same reasons mentioned in the last question.
We can create an equation.
Distributive property
Subtract both sides by 1 and 2x
Since E and D are congruent, just plug this value into one of the equations for E or D. You get 46.
The third choice is your answer. Hope this helps! :)
Look at the first attached image.
We want to solve for the height of the smaller building. Let's start by making a right triangle with angle of 15 degrees and adjacent side of 51 m.
Let's solve for the other leg. Multiply the tangent with 51 m to get the length of the other leg.
Now, subtract that from 207 to get the height of the smaller building.
That's your answer.
Question 2:
The angle of elevation is congruent to the angle of depression because they are alternate interior angles.
Thus, you can choose the 1st and 4th choices as your answer.
Question 3:
Look at the second attached image.
Angle E is congruent to angle D for the same reasons mentioned in the last question.
We can create an equation.
Distributive property
Subtract both sides by 1 and 2x
Since E and D are congruent, just plug this value into one of the equations for E or D. You get 46.
The third choice is your answer. Hope this helps! :)