Answer:
x = 49
Step-by-step explanation:
The third side of the largest of the inner triangles:
= 
=
The side that continues next to 33: x -33
Applying similarity property on right triangles:
Hope this helps
.13333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333
Explanation: The given triangles are similar by Angle-Angle postulate, because all three pairs of corresponding angles are congruent.
Answer:
a. 1965
b. 8 years
Step-by-step explanation:
For answers to questions like these it can work to consider the smallest possible dataset.
<h3>Dataset</h3>
For our purpose, consider the 9 years/values to be averaged to be ...
1, 2, 3, 4, 5, 6, 7, 8 ,9
<h3>Observations</h3>
a. The center value of the data set is 5. Its number is 5-1=4 more than the first one.
The first centered value is from the year 1961 +4 = 1965.
b. The 4 values at the beginning, and the 4 values at the end do not have a corresponding "average" value. That is, 4+4 = 8 values in the series are lost with respect to the number of average values.
8 years of values are lost.
