Answer:
hey
Step-by-step explanation:
Answer:
The scores within one standard deviation of the mean are: 77, 79, 80, 83, 87, 88
Step-by-step explanation:
The mean of the data is 83 and the standard deviation is 6.5, find scores within 1 standard deviation of the mean:
Between
83 - 6.5 = 76.5
83 + 6.5 = 89.5
So:
The scores within one standard deviation of the mean are: 77, 79, 80, 83, 87, 88
The angle x has a measure of 110 degrees
<h3>How to determine the value of x?</h3>
From the question, we have the triangle shape that can be used in our computation:
On the triangle, the external angles are
x, 140 and 110
These angles are on the same straight line with their corresponding internal angles
By the angle on a straight line theorem, we have the internal angles to be
180 - x, 180 - 140 and 180 - 110
The sum of these angles is 180
So, we have
180 - x + 180 - 140 + 180 - 110 = 180
Evaluate
x = 110
Hence, the value of x is 110 degrees
Read more about angles at
brainly.com/question/7620723
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Answer:
A = 35 square units
Step-by-step explanation:
Formula to calculate the distance between two points 
and 
is,
d = 
Length of the segment between A(2, 2) and B(9, 2) = 
= 7 units
Length of the segment between B(9, 2) and C(9, -3) = 
= 5 units
Length of the segment between C(9, -3) and D(2, -3) = 
= 7 units
Length of the segment between A(2, 2) and D(2, -3) = 
= 5 units
Therefore, given polygon is a rectangle.
Area of the rectangle = length × width
= 7 × 5
= 35 square units
