Supplementary angles definition: They add up to 180°
There are several ways to prove a parallelogram:
1. Opposite sides theorem converse
2. Opposite angles theorem converse
3. Parallelogram diagonals theorem converse
4. Parallel congruent sides theorem
∠P + ∠Q = 180° --1
∠P + ∠S = 180° --2
1: ∠P = 180° - ∠Q
Sub 1 into 2:
180° - ∠Q + ∠S = 180°
180° + ∠S = 180° + ∠Q
∠S = ∠Q
Or you can try saying the opposite sides are parallel, since they are interior angles and those are straight lines
Kx-3y=k
y=4x+1 ( we will put it in 1st equation )
kx - 3 (4x+1)=k
kx - 12 x - 3 =k
kx - 12 x = k+3
x(k-12) = k+3
x=
Also y=
We can not divide with zero.
k-12=0
k=12For k= 12 equations have no solutions.
Answer:
3 less than or equal to x less than or equal to 13
3 ≤ x ≤ 13
Step-by-step explanation:
Answer:
x = 136/35; y = -⁹/₁₀
Step-by-step explanation:
(1) 7x + 8y = 20
(2) 7x – 2y = 29 Subtract (2) from (1)
10y = -9 Divide each side by 10
(3) y = -⁹/₁₀ Substitute (3) into (1)
7x - 2(-⁹/₁₀) = 29
7x + 18/10 = 29 Subtract 18/10 from each side
7x = 29 - 18/10
7x = (290 - 18)/10
7x = 272/10 Divide each side by 7
x = 272/70
x = 136/35
x = 136/35; y = -⁹/₁₀
Check:
(1) 7(136/35) + 8(-⁹/₁₀) = 20
136/5 - 72/10 = 20
136/5 - 36/5 = 20
100/5 = 20
20 = 20
(2) 7(136/35) – 2(-⁹/₁₀) = 29
136/5 + 18/10 = 29
136/5 + ⁹/₅ = 29
145/5 = 29
29 = 29
Answer:
Step-by-step explanation:
Military Time 0658 is: 06:58 AM using 12-hour clock notation, 06:58 using 24-hour clock notation.
