Answer:
3.
Distances between two parallel lines 
4.
=
: Reason; Corresponding part of ΔACB and ΔDCE
C is the midpoint of
: Reason;
=
: Definition of midpoint
Step-by-step explanation:
3. A parallelogram is defined as a quadrilateral with two opposite sides equal and parallel and having equal opposite interior angles
MNOP is a parallelogram: Reason; Given
: Reason; Opposite sides of a parallelogram
∠NOM ≅ ∠OMP: Reason Alternate interior angles
: Reason; Opposite sides of a parallelogram
∠NMO ≅ ∠MOP: Reason Alternate interior angles
Distances between two parallel lines 
4.
: Reason; Given
∠EAB ≅ ∠AED: Reason; Alternate int. ∠s Thm
∠ABC ≅ ∠EDB : Reason; Alternate int. ∠s Thm
C is the midpoint of
: Reason; Given
=
: Reason; Definition of midpoint
Therefore, ΔACB ≅ ΔDCE: Reason Angle Angle Side (AAS) Theorem
=
: Reason; Corresponding part of ΔACB and ΔDCE
C is the midpoint of
: Reason; Definition of midpoint
Answer:
x=9.6
Step-by-step explanation:
We are given the proportion:

We are asked to solve for x. Therefore, we must isolate x on one side of the proportion.
x is being divided by 24. The inverse of division is multiplication. Multiply both sides of the proportion by 24.





x is equal to 9.6 The complete proportion is 
Answer:
-40m = 59.2
Step-by-step explanation:
simplify
Answer:
The last angle is 60 degrees
Step-by-step explanation:
<u>All triangles add up to 180 degrees</u>
<u />
<u>Step 1: Make an equation</u>
What is the angle of a triangle if one angle is 68 and the other is 52.
<em>68 + 52 + x = 180</em>
<em />
<u>Step 2: Combine like terms</u>
68 + 52 + x = 180
<em>120 + x = 180</em>
<em />
<u>Step 3: Subtract 120 from both sides</u>
120 + x - 120 = 180 - 120
<em>x = 60</em>
<em />
Answer: The last angle is 60 degrees