Both A and B.
This is due to the fact that X=3 cleanly divides the rectangle into two equal halves, causing any reflection to resemble the original shape.
Additionally, any shape with two lines of symmetry, when rotated 180 degrees, will align with one of the axes of symmetry and appear the same as the original shape.
Answer:
£170,000
Step-by-step explanation:
En 2010, Rafik adquirió una casa. Supongamos que el precio de compra fue $x. En 2015, Rafik vendió la casa a Bianca obteniendo un 20% de ganancia. Esto se traduce en 20% de x lo que equivale a 0.2 × x = 0.2x. Por tanto, Rafik vendió la casa a Bianca por x + 0.2x = 1.2x. Bianca compró la casa a 1.2x.
La casa fue vendida por Bianca en 2019 con una pérdida del 5%. Esto implica que el 5% de pérdida equivale a 0.05(1.2x) = 0.06x.
Por consiguiente, la venta de la casa por Bianca se realizó a 1.2x - 0.06x = 1.14x. Dado que la casa se vendió por £193,800.
⇒ 1.14x = 193,800
x = 193,800/1.14
x = £170,000
Rafik pagó £170,000 por la casa en 2010.
Answer: C. Significant at 0.036
Step-by-step explanation:
Given:
Total samples selected Ns= 500
Airplanes that arrived on time Na = 482.
Airplanes that arrived late Nl = 500 - 482 = 18
Calculating the probability of an airplane arriving late:
P(L) = Nl/Ns
P(L) = 18/500
P(L) = 0.036
An event is deemed significant if its probability is equal to or less than 0.05.
As P(L) < 0.05
P(L) = Significant at 0.036
Answer:
0.93 minute
Step-by-step explanation:
During the first week:
Kim ran = 1 mile
Duration for this distance = 1 minute
In the second week:
The distance covered by Kim = 1 mile
The time taken by Kim = 7% less compared to the first week
= 1 min - 0.07 min = 0.93 minute
<pSo, she completed 1 mile in 0.93 minute this week.
Answer: To eliminate the y terms and solve for x with minimum steps, we should multiply the first equation by 9 and the second equation by -4.
Step-by-step explanation:
Given: Equation (1) 5x − 4y = 28
Equation (2) 3x - 9y = 30
To eliminate the y-terms and determine x in the fewest operations, it requires us to multiply equation (1) by 9 and equation (2) by -4 to have
9(5x − 4y) =9 (28) ⇒ 45x - 36y = 252
-4(3x - 9y) = -4(30) ⇒ -12x + 36y = -120
By adding both equations together, the y-term is eliminated, leading to 45x - 12x = 132
⇒ 33x = 132 ⇒ x = 4.
