Answer:
a). x = 135°
b). y = 45°
c). z = 67.5°
Step-by-step explanation:
Since sum of interior angles of a regular polygon is represented by,
Sum of interior angles = (n - 2) × 180°
Here n = number of sides
For a regular octagon, n = 8
Sum of interior angles = (8 - 2) × 180° = 1080°
And measure of one interior angles = 
x = 
x = 135°
From the figure attached,
Angle C has been divided in 6 equal parts,
Therefor, m∠ECD = 
= 22.5°
Since ∠ECD ≅ ∠CED,
m∠CED = 22.5°
Since m∠E = 135°
m∠FEC = 135 - 22.5 = 112.5°
In ΔFEC,
m∠FEC + m∠ECF + m∠CFE = 180°
112.5 + 22.5 + z = 180
z = 180 - 135
z = 45°
Similarly, in ΔCGF,
m∠CGF + m∠CFG + m∠GCF = 180°
(135 - y)° + (135 - z)° + 22.5° = 180°
270 - (y + z) + 22.5 = 180
292.5 - (y + 45) = 180
247.5 - y = 180
y = 247.5 - 180
y = 67.5°
The total power of the variables for the one term expression is 3 + 2 + 5 = 10. Hence, the degree is 10.
Answer:
1786
Step-by-step explanation:
Area of a rectangle = l x b
= 38 x 47
= 1786
The question is incomplete. The complete question is :
Victor is selling lemonade to raise money for his school. The amount of money he collected from his sales each day is summarized on the box plot below.
What is the interquartile range of the data ?
Answer:
$ 7
Step-by-step explanation:
It is given that Victor sold lemonade in order to raise money for his school.
The money that Victor collected is shown on the diagram below.
Therefore, we find the interquartile range. It is the difference between the 3rd quartile and the 1st quartile, i.e.
IQR = 
Now from the figure, the 3rd quartile is the value that is at the end of the rectangular box towards the right. Therefore, the 3rd quartile is = $ 29
Similarly from the figure the 1st quartile at the beginning of the rectangular box to the left is = $ 22
So the interquartile range is = 3rd quartile - 1st quartile
= 29 - 22
= $ 7
Thus the amount of money Victor collected is $ 7.
