Answer:
D) y-90=3(x-40)
Step-by-step explanation:
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Step-by-step explanation:
You deposit some money into a bank account paying 4% simple interest per year. You received $72 in interest after 3 years. How much the deposit (principal) was?
Answer:
Below
Step-by-step explanation:
● 3 ( -x +2x - 1) = x - 1
● 3 ( -x -1 ) = x - 1
● -3x -3 = x - 1
Add -x to both sides
● -3x -3 - x = x -1 -x
● -4x -3 = -1
Add 3 to both sides
● -4x - 3 + 3 = -1 + 3
● -4x = 2
Divide both sides by -4
● -4x/-4 = 2/-4
● x = -1/2
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°