Determine the equation of the line L 1 3 marks 9 The interior and exterior of a

# Determine the equation of the line l 1 3 marks 9 the

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) y – 4x + 3 = 0 passes through a point (-8,5). Determine the equation of the line L 1 . (3 marks) 9. The interior and exterior of a regular polygon are the ratio 13: 2. Calculate the number of sides of the polygon. (3 marks) 10. In the diagram below PR = 32m QPR = 50 4

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If the area of a triangle PQR is 345m 2 , find the length PQ, correct to the nearest metre.(3 marks) 11. Given that 3 5x – 2y = 243. 3 2x – y = 3 Calculate the values of x and y. (3 marks) 12. The length of an arc of a circle is 1 / 10 of its circumference. If the area of the circle is 13.86cm 2 , find (a) The angle subtended by the arc at the centre of the circle. (2 marks) 5
(b) The area of the sector enclosed by this arc. (2 marks) 13. In order to complete a certain job in 10 days, a company employs 30 men to work at the rate of 8 hours a day. Determine how long it would take 20 men working 12 hours a day to complete the same job. (2 marks) 14. The map of a district is drawn to the scale 1: n. On this map, an estate is represented by a rectangle measuring 7.5mm long and 2.4 mm wide. If the actual area of the estate is 72 hectares, find the value of n. (3 marks) 6

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15. In the diagram below ABCD is a trapezium with AB parallel to DC. The diagonals AC and BD intersect at E.
• Fall '18
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