Answer:
Comparing each pair of lines,
AB and EF,
BC and FG,
CD and GH,
DA and HE.
For, AB and EF,
If we take a look at both the lines they are the mirror image of each other, the distance between point A and B is 1 unit upwards, and 2 unit sidewise, similarly between point E and F the distance is 1 unit upwards, and 2 unit sidewise. therefore, the length of both the lines is the same.
Also, we can use the formula, for the distance between two points on a coordinate plane,
,
As we can see in the image,
A = (-1, 1),
B = (-3, 2),
C = (-4, 4),
D = (-2, 6),
E = (2, 0),
F = (4, 1),
G = (5, 3),
H = (3, 5),
Solving using the formula,
AB = EF = √5,
BC = FG = √5,
CD = GH = √8,
DA = HE = √26,
Therefore, the length of all the sides of the polygon are the same,
Hence, the two figures are congruent.
Step-by-step explanation:
Answer:
20 candies left.
Step-by-step explanation:
Answer:
Total money left with Jamie = £13
Step-by-step explanation:
Jamie received pocket money = £26
He spent on sweets = 10% of total pocket money
Expense on magazines = 25% of the total money
Expense on games = 15% of the pocket money
Total expenditure on sweets, magazines and games = 
= 
Or 50% of the pocket money he received
Therefore, money left with Jamie = 50% of total money he received as pocket money
= 
= £13
x^2 - 3x + 9 - 5x + 10 = 0
x^2 - 8x + 19 = 0
