We could do it by first writing

so that

and since
, we have

# # #
Alternatively, we can just compute the product and take it mod 4:

and so we get the same result of 1.
Answer:
The two column proof is presented as follows;
Statement
Reason
1. Parallelogram SUPN
⊥
1. Given
and
⊥ 
2. ∠SRU = ∠PMN = 90°
2. Definition of perpendicular lines
3. ∠SRU ≅ ∠PMN
2. Definition of congruency
4.
║
4. Opposite sides of a parallelogram are
congruent
5. ∠SNR ≅ ∠PUM
5. Alternate interior angles are congruent
6.
≅
6. Opposite sides of a parallelogram are
congruent
7. ΔPMU ≅ ΔSRN
7. By AAS rule of congruency
By the Angle-Angle-Side (AAS) rule of congruency, we have that, if two angles and a corresponding adjacent side (∠SRU ≅ ∠PMN, ∠SNR ≅ ∠PUM,
≅
) of two triangles (ΔPMU and ΔSRN) are congruent, then the the two triangles are also congruent (ΔPMU ≅ ΔSRN)
Step-by-step explanation:
D is a prime polynomial.
The best way to figure this out is by attempting to factor them all. Each of them factors into perfect squares except for D.
A)
x^2 - 6x + 9 = (x - 3)^2
B)
x^2 + 16x + 64 = (x + 8)^2
C)
4x^2 + 20x + 25 = (2x + 5)^2
D we can also tell won't have a perfect square like that because it ends in a negative number. No number multiplied by itself is negative.
Answer:93.75 miles
Step-by-step explanation:
Given
Distance between two cities is 
and Map 2 shows 2 inches is equal to 
So each inch is equal to 
So
measures

So cities are
apart
Answer: 3
Step-by-step explanation:
Simplify the expression.
(-4+3) - (2-6)
-4+3 = -1
2-6 = -4
Subtract: -1 - (-4) = 3