Answer : 60 degrees
Explanation: All triangles's angles add up to 180. Since all angles are equal, you can divide 180 by 3. 180/3 is 60
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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Answer:
<u>600 meters</u>
Step-by-step explanation:
<u>Case 1 : Speed of 1 m/s</u>
- d = v * t
- d = 1 * t
- d = t [Equation 1]
<u>Case 2 : Speed of 1.5 m/s</u>
- d = v * t
- d = 1.5 * (t - 200)
- d = 1.5t - 300 [Equation 2]
As distance in both cases is the same, equate the values of d from both equations.
- t = 1.5t - 300
- 0.5t = 300
- t = 300 * 2
- <u>t = 600 s</u>
Now, put the value of t in <u>Equation 1</u> to find d.
