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 use the properties of equality. Here's how you can find the answers:
a) We are given that m1 is equal to (3x + 20), and we know that vertical angles are congruent. Therefore, we can substitute m1 with (5x - 16) in the equation:
(3x + 20) = (5x - 16)
b) We have -2x + 20 on one side of the equation, and we need to find the value that makes it equal to something. To isolate the variable, we can use the subtraction property of equality. Subtracting 20 from both sides of the equation:
-2x + 20 - 20 = _____ - 20
-2x = _____
c) We have -2x on one side of the equation, and we need to find the value that makes it equal to something. Again, we can use the subtraction property of equality. Subtracting -2x from both sides of the equation:
-2x - (-2x) = _____ - (-2x)
0 = _____
d) We have x on one side of the equation, and we need to find the value of x. To isolate the variable, we can use the division property of equality. Dividing both sides of the equation by the coefficient of x:
x/1 = _____/1
x = _____
Now, you can use the steps described above to find the value that makes each equation equal to something.