1) given
2) definition of an angle bisector
3) reflexive
4) (ASA)
5) (CPCTC)
Answer:
-2x-24
Step-by-step explanation:
-5x+3x-24 = - 2x-24
A <span>dodecagon has 12 sides
Sum of the interior angles = (12 - 2) x 180 = 1800</span>°
One interior angle = 1800 ÷ 12 = 150°
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Answer : 150°
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x = 3 + y Eqn(1)
y = -2x + 9 Eqn(2)
Let us solve the system of equations with the substitution method
x - 3 = y (Subtracting 3 from both sides of the Eqn(1))
Replacing y = x - 3 in Eqn (2), we have:
x - 3 = -2x + 9
x = -2x + 9 + 3 (Adding 3 to both sides of the equation)
x + 2x = 9 + 3 (Adding 2x to both sides of the equation)
3x = 12 ( Adding like terms)
x = 12/3 (Dividing by 3 on both sides of the equation)
x = 4
Replacing x=4 in Eqn(1), we have:
4 = 3 + y
4 - 3 = y (Subtracting 3 from both sides of the equation)
y=1
The answers are:
x= 4 and y=1