Angle PQR 65 and angle STR 35 a Giving reasons show that triangles TPQ and TRS

# Angle pqr 65 and angle str 35 a giving reasons show

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Angle PQR = 65 0 and angle STR = 35 0 a) Giving reasons, show that triangles TPQ and TRS are similar. (5 marks) b) Given that TQ = 18cm, QR = 10 cm, PS = 7cm. Calculate the length of TS. (5 marks) 8

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19) The table below shows how income tax was charged on income in a certain year. Taxable in p.a in K£ Rate in sh. Per K£ 1 – 3 630 2 3631 – 7260 3 7261 – 10 890 4 10 891 – 14520 5 Mr. Ndungu works as a brand manager in company Z and in that year he paid sh.3138.50 as income tax per month. Mr. Ndungu lives in a company house where he pays a nominal rent of sh.1200 per month and is entitled to family relief of sh.sh.450 per month. Calculate his monthly salary in that year. (10 marks) 9
20) (a) Without using tables, find the value of: (3 marks) 12 3/2 x 16 1/8 27 1/6 x 18 ½ (b) Solve for x in the equation (3 marks) 3 2x + 9 x + 13 = 67 (c) Find the sum of the first 7 terms of: (4 marks) ½ + ¼ + 1 / 8 + ……………………… 10

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21) (a) The gradient function of a curve is given 3x 2 – 4x – 1. Find the equation of the normal to the curve at the point where x = 2. (4 marks) (b) The velocity V m/s of a projectile is related to the time t seconds after projection by the formula v = 12t 2 – 6t – 6. By using six strips and trapezoidal rule estimate the distance traveled by the projectile from time t = 2 to t = 14 seconds. (6 marks) 11
22) The distance between Machakos and Nakuru is 360km. Mr. Mutua left Machakos town for Nakuru at 8.15 am driving at an average speed 110km/hr at 9.00 am, Mr. Rono left Nakuru for

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