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Simplify 7-5, construct a right angle using only a ruler, pencil, and compasses, and convert 500 Euros to Uganda shillings given 1 Euro = 4,400 Ug sh.

Mathematics

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10. Simplify: 7−57 - 5

  1. Perform the subtraction.

    7−5=27 - 5 = 2

    The simplified value is 2\boxed{2}.

    11. Using a ruler, a sharp pencil and a pair of compasses only, construct a right angle in the space below.
    To construct a right angle (90 degrees):

    1. Draw a straight line and mark a point P on it.
    2. Place the compass needle on P and draw arcs of the same radius to intersect the line on both sides of P. Label these intersection points A and B.
    3. With the compass needle on A, open the compass to a radius greater than AP, and draw an arc above the line.
    4. With the compass needle on B and using the same radius as in step 3, draw another arc to intersect the previous arc. Label this intersection point C.
    5. Draw a straight line from P to C. The angle formed at P (e.g., ∠APC\angle APC) will be a right angle (90∘90^\circ).

    12. Given that 1 Euro = Ug sh. 4,400 at a forex bureau. Convert 500 Euro to Uganda shillings.

  2. Identify the given conversion rate.

    1 Euro=4,400 Ug sh.1 \text{ Euro} = 4,400 \text{ Ug sh.}
  3. Multiply the amount in Euros by the conversion rate to find the equivalent amount in Uganda shillings.

    500 Euro×4,400 Ug sh.1 Euro500 \text{ Euro} \times \frac{4,400 \text{ Ug sh.}}{1 \text{ Euro}} 500×4,400=2,200,000500 \times 4,400 = 2,200,000

    500 Euro is equal to 2,200,000 Ug sh.\boxed{2,200,000 \text{ Ug sh.}}.

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