Answer:
Step-by-step explanation:
y=mx + b
slope form = 1/-2
Answer:
x = 4
y = 6
Step-by-step explanation:
3x + 4y = 36
3x + 4(-1/2x + 8) = 36
3x - 2x + 32 = 36
x + 32 = 36
x + 32 - 32 = 36 - 32
x = 4
y = -1/2x + 8
y = -1/2(4) + 8
y = -2 + 8
y = 6
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
The law of cosines is:
c² = a² + b² - 2abCos(C)
Therefore, in order to apply this law, we must know the value of two adjacent sides, represented by a and b here, and the value of their subtended angle, represented by C.