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1 answer:
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<u>Answer:</u>
vii. x = 70° viii. x = 60°
<u>Step-by-step explanation:</u>
vii.
The purple line drawn is parallel to the lines PQ and ST.
∴ ∠ a + 130° = 180° [alternate angles]
⇒ ∠ a = 50°
x = a + 20° [Co-interior angles with angle ]
⇒ x = 50° + 20°
⇒ x = 70°
viii.
The yellow line drawn and the line AB are parallel.
∴ n° + 130° = 180° [Co-interior angles]
n = 50°
The green line and line DE are parallel.
∴ m° + 110° = 180° [Co-interior angles]
m = 70°
n + m + x = 180° [Angles on a straight line]
⇒ 50° + 70° + x = 180°
⇒ x = 60°
Answer:
The amounts of three parts of the investment are 18000, 6000, 5000 respectively.
Step-by-step explanation:
An investment of $29,000 was made by a business club.
Let the amount of first and second investment be x and y respectively. So, the amount of third investment is (29000-x-y).
The first part of the investment earned 8% interest, the second 6%, and the third 9%. Total interest from the investments was $ 2250.
On simplification we get
..... (1)
The interest from the first investment was 4 times the interest from the second.
.... (2)
From (1) and (2) we get
Divide both sides by 0.06.
Put this value in equation (2).
The amount of third investment is
Therefore the amounts of three parts of the investment are 18000, 6000, 5000 respectively.