Answer:
∠ ABC = 53.5°
Step-by-step explanation:
The inscribed angle ABC is half the measure of the intercepted arc AC
∠ ABC =
× 107° = 53.5°
Answer:
The points are (-1, 1), (2, 7), (1, -1), (3, 0)
Step-by-step explanation:
Let us solve the question
∵ f(x) = y
∴ The coordinates of the point are (x, y)
→ Let us use this fact to find the coordinates of each point
∵ f(-1) = 1
∴ x = -1 and y = 1
∴ The coordinates of the point are (-1, 1)
∵ f(2) = 7
∴ x = 2 and y = 7
∴ The coordinates of the point are (2, 7)
∵ f(1) = -1
∴ x = 1 and y = -1
∴ The coordinates of the point are (1, -1)
∵ f(3) = 0
∴ x = 3 and y = 0
∴ The coordinates of the point are (3, 0)
The graph is attached down
Answer:
(1)
Donna = Pounds 180
Kyra = Pounds 240
(2)
Kelly = Pounds 225
Nelly = Pounds 175
Step-by-step explanation:
(1)
Donna = x
Kyra = x + 60
If Donna spends 1/3 of her money she is left with 2/3 of her money;
2/3 x
Kyra now has twice as much money as Donna can be represented as;
X + 60 = 2 * 2/3 x
X + 60 = 4/3 x
(x + 60)3 = 4x
3x + 180 = 4x
180 = 4x – 3x
180 = x
Donna = 180
Kyra = 180 + 60 = 240
(2)
Kelly = x
Ned = y
Kelly spends 40% of her money. Therefore he is left with 60%;
60/100 x
Nelly spends Euros 40 of his money. Therefore he is left with;
y- 40
If they now have the same amount of money;
60/100 x = y – 40
3/5 x = y – 40
3x = 5y – 200
3x – 5y = -200
Remember Kelly & Ned has Euros 400 in total;
x + y = 400
Now we can solve the simultaneous equation by substitution;
x + y= 400
3x – 5y = -200
3x + 3y = 1200
-
3x – 5y = - 200
=
8y = 1400
Y = 175
X = 225
Kelly = 225
Nelly = 175
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11.5 because the formula is V=a³
Answer:
A
Step-by-step explanation: