Answer:
b = 90
Step-by-step explanation:
Sum the interior angles of the pentagon and equate to 540
Starting from the top and going clockwise
b + b + 45 + 90 + 2b - 90 + 
b = 540 ← simplify left side
b + 45 = 540 ( multiply through by 2 to clear the fraction )
11b + 90 = 1080 ( subtract 90 from both sides )
11b = 990 ( divide both sides by 11 )
b = 90
Thus
b + 45 = 90 + 45 = 135
2b - 90 = 2(90) - 90 = 180 - 90 = 90
b = × 90 = 135
The angle measure from the top clockwise are
90°, 135°, 90°, 90°, 135°
Step-by-step explanation:
(-6x +3y=9 )×4
( 10x+4y)×3
-24x +12y =36
30x+12y= -18
-24x+12y- (30x+12y)= 36-(-18)
-54x = 54
x= -1
by using 10x +4y = -6
apply x= -1
-10+4y= -6
4y= -6 +10
4y=4
y=1
so the answer is x=-1 and y= 1
Answer:
A
Step-by-step explanation:
D(7, 3), E(8, 1), and F(4, -1)
We calculate the squared distances between the points:
Since 
we have a right triangle with hypotenuse DF.
Answer:
The width is 
Step-by-step explanation:
From the question we are told that
The population standard deviation is 
The sample size is 
The sample mean is 
Given that the confidence level is 99% then the level of significance is mathematically represented as
=> 
=> 
Next we obtain the critical value of 
from the normal distribution table, the value is
Generally margin of error is mathematically represented as
substituting values
The width of the 99% confidence interval is mathematically evaluated as
substituting values
