Answer:
BC ≈ 8.9 units
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos36° =
=
=
( multiply both sides by 11 )
11 × cos36° = BC , then
BC ≈ 8.9 ( to the nearest tenth )
Answer:
The first quartile is 5
The third is 8
The interquartile is the difference between the first and third quartile.
The interquartile is 3
Step-by-step explanation:
First, make a list of all the numbers. To find the first quartile, you have to first find the median. The median is the first 7 in the list.
Everything before 7 is the lower percentile of the range.
The firsr quartile is the median of the lower percentile.
The lower list is:
2,3,4,4,5,6,6,6
The median of this list is 5.
The process for finding the third quartile is the same except the list is the higher percentile which is the list of numbers above the median.
X can equal -7 or 1
X = -7 and 1
Answer:
Step-by-step explanation:
From the picture attached,
Let 'l' be the original line having one angle ∠BAC.
If the original line 'l' is shifted or translated to line 'm', angle BAC will replace the angle BDE.
Since, measure of angles are preserved in the translation,
m∠BDE = m∠BAC [corresponding angles]
Since, ∠BDE ≅ ∠MDA [Vertical angles]
Therefore, m∠MDA = m∠BAC
Hence, alternate interior angles (∠MDA) and (∠BAC) will be congruent when line 'l' is translated to line 'm'.