Answer:
A). 101 inches
B). 110 years
Step-by-step explanation:
Years since planting Circumference Difference
1 3 -
2 5 (5 - 3) = 2
3 7 (7 - 5) = 2
4 9 (9 - 7) = 2
5 11 (11 - 9) = 2
6 13 (13 - 11) = 2
There is a difference of 2 in every successive term of the circumference.
Therefore, the given sequence is an arithmetic sequence.
Explicit formula of an arithmetic sequence is given by,
Here a = first term
n = number of terms
d = common difference
From the given table,
Here = circumference after 'n' years
n = Age of the plant
By this formula,
Circumference of a tree after 50 years,
= 101 inches
Age of tree with the circumference = 221 inches,
221 = 2n + 1
2n = 220
n = 110 years
I believe the answer is x=114
Answer:
z = 7 and z = 69
Step-by-step explanation:
In the given figure, two lines are cut each other.
Here we have to use the following property.
If the two lines intersect each other, then the opposite sides are equal.
Therefore, 11x + 34 = 111
Now we have to find the value of x.
Solve for x.
11x = 111 - 34
11x = 77
Dividing both sides by 11, we get
x = 77/11
<u> x = 7</u>
Now we have to find the value of z.
Adjacent angles add upto 180 in a straight line.
Therefore, 111 + z = 180
Subtract 111 on both sides, we get
111 + z -111 = 180 - 111
<u>z = 69</u>
Therefore, z = 7 and z = 69
Hope you will understand the concept.
Thank you.
Answer:
Congressman Stevens will win the race
Step-by-step explanation:
Considering the margin of error, the possible outcomes for each candidate would be:
Congressman Stevens: from (54 - 3)% to (54+3)%
Challenger Jones: from (44 - 3)% to (44+3)%
Congressman Stevens: from 51% to 57%
Challenger Jones: from 41% to 47%
Therefore, even considering the margin of error, the pollster would be able to safely predict that Congressman Stevens will win the race.
On a you would subtract ten from +10 and 22