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5. (a) If AB is parallel to CD and CD is a transversal, sketch the line segments and label on the same
diagram the following pairs of angles:
(i) corresponding angles of aand g.
(ii) alternate interior angles of fand g.
(iii) vertically opposite angles cand d.
(b) Given that triangle ABCis similar to triangle PQR, AB = 4 cm, BC = 5 cm, P Q = 18 cm and
angle PQRis 30°, find the area of triangle PQR.
6. (a) Mr. Ogango from Kenya visited Tanzania. He had 5,000 Kenya shillings (Kshs) and wanted to
change the money into US dollars. If 1 US dollar was equivalent to 2500 Tanzania shillings
(Tshs) and Ksh 1 was equivalent to Tshs 20, how much US dollars did he get?
(b) A gardener has found the time tto cut the grass on a square field varies directly as the square of
its length (L) and inversely as a number of men (m) doing that job. If 5 men cut grass on a field
of side 50 m in 3 hours, how many more men are required to cut grass on a field of side 100 m in
5 hours? Assume that the men are working on the same pace.
7. (a) Misumbwi, Shuma and Kiyando contributed 770,000, 560,000 and 1,050,000 shillings respectively
to start a business. Find the ratio of their contribution in its simplest form.
(b) Use the following trial balance to prepare trading, profit and loss account of Mr. Rwaichi as at
31st December 2015.
TRIAL BALANCE AS AT 31 DECEMBER, 2015
ST
Account name Dr Cr
Cash 1,750,000
Capital 2,500,000
Purchases 2,300,000
Rent 200,000
Furniture 550,000
Shelves 350,000
Sales 3,000,000
Salary 250,000
Wages 100,000
5,500,000 5,500,000
8. (a) Given that 49, xand 81 are consecutive terms of a geometric progression. Find:
(i) the value of .x
(ii) the geometric mean.
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