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°
To make an equation of a line, you must put it in Y=mx +b form.
m = slope and b = y-intercept
Now just plug in
Answer is Y= -4/5x - 1/6
Answer:
x=10, x= -10
Step-by-step explanation:
basically all absolute value does is make the end result of everything inside of it positive. So 10 and -10 both would be equal to 10 when you use absolute value on them
5 units is the exact answer. I hope it is the exact.
Answer:
t=10
Step-by-step explanation:
t+14=24
-14 -14
t=10