Can someone help me solve these
m1=(3x+20)
m3=5x-16
(Vertical Angles are Congruent)
a.) _____ = (5x - 16) (Substitution)
b.) -2x + 20 = _____ (Subtraction Prop. of Equality)
c.) -2x = _____ (Subtraction Prop. of Equality)
d.) x = _____ (Division Prop. of Equality
To solve these equations, we will go step by step using the given properties.
a) To find the value of a, we will set it equal to (5x - 16) using the substitution property:
a = (5x - 16)
b) To find the value that completes the equation -2x + 20 = _____, we will use the subtraction property of equality. Since we want to find the value to complete the equation, we can subtract 20 from both sides of the equation:
-2x + 20 - 20 = _____ - 20
-2x = _____ - 20
c) Similarly, to find the value that completes the equation -2x = _____, we will once again use the subtraction property of equality. We can subtract the same term from both sides of the equation:
-2x - _____ = _____ - _____
-2x = _____
d) Lastly, to solve for x in the equation x = _____, we will use the division property of equality. We can divide both sides of the equation by the coefficient of x, which is 1:
x/1 = _____/1
x = _____