Answer:
A. Parallel
Step-by-step explanation:
Answer:
Step-by-step explanation:
6x = 54
x = 54 /6
x=9
therefore value of x is 9
Explanation:
Statements are numbered; reasons are in italics.
1. ABCD is a parallelogram with AB≅CD and BC≅AD. <em>Given; definition of a parallelogram</em>.
2. Diagonal AC ≅ diagonal CA. <em>Reflexive property of congruence</em>.
3. ΔABC ≅ ΔCDA. <em>SSS congruence postulate</em>.
4. ∠B ≅ ∠D. <em>CPCTC</em>. (Opposite angles B and D are congruent.)
5. Diagonal BD ≅ diagonal DB. <em>Reflexive property of congruence</em>.
6. ΔABD ≅ ΔCDB. <em>SSS congruence postulate</em>.
7. ∠A ≅ ∠C. <em>CPCTC</em>. (Opposite angles A and C are congruent.)
Answer:
-1
Step-by-step explanation:
Use rise over run, (y2 - y1) / (x2 - x1)
Plug in the points:
(y2 - y1) / (x2 - x1)
(9 - 4) / (1 - 6)
5 / -5
= -1
So, the slope is -1
Answer:
P(1, π/4)
P(-1, π/4)
P(4, 5π/6)
P(-4, 5π/6)
Step-by-step explanation:
Knowing the formulas
r = √(x²+y²)
θ = Arctg (y/x)
we have
a) P(1, 1)
i)
r = √(1²+1²) = +1
r = +1
θ = Arctg (1/1) = π/4
P(1, π/4)
ii) r = √(1²+1²) = -1
r = -1
θ = Arctg (1/1) = π/4
P(-1, π/4)
b) P(2√3, -2)
i)
r = √((2√3)²+(-2)²) = +4
r = +4
θ = Arctg (-2/2√3) = 5π/6
P(4, 5π/6)
ii)
r = √((2√3)²+(-2)²) = -4
r = -4
θ = Arctg (-2/2√3) = 5π/6
P(-4, 5π/6)
