Answer/Step-by-step explanation:
Given:
m<MNQ = 132°
m<Q = 54°
m<P = 3x
1. m<MNQ = m<P + m<Q
Reason: exterior angle theorem of a triangle
Plug in the values
2. 132° = 3x + 54°
Reason: Substitution
3. x = 26
Reason: Algebra
132 - 54 = 3x (substraction property of equality)
78 = 3x
78/3 = x (division property of equality)
26 = x
x = 26
Answer:
300x = 435, given x represents the amount of months.
So 435 divided by 300 is 1.45 months for that amount.
Step-by-step explanation:
You just multiply the x value by 5
-2(5)=-10
-1(5)=-5
0(5)=0
3(5)=15
6(5)=30
9(5)=45
The <em>correct answer</em> is:
The diagonals of the parallelogram are congruent.
Explanation:
In every parallelogram, opposite angles are congruent. This would not mean it is a rectangle.
Consecutive sides of a parallelogram are only congruent if the parallelogram is a rhombus or a square; this would not be a rectangle.
The diagonals of every parallelogram bisect each other. This would not mean it is a rectangle.
The diagonals of a rectangle bisect each other. If we know this is true about our parallelogram, this means our parallelogram is a rectangle.
