TASK 1 / PPB 1 / 2011

1. < A and < B are complementary,if < A is ( 2x + 10 ) and < B = ( 3x + 5 ). Determine the value of x, < A and < B !
2.Determine the measure of two complementary angles whose measure difference is 15°.
3. There is an angle 5° smaller than the multiple of 4 of its supplement. Determine the measure of the angle.
4. The perimeter of a rectangle is 100 cm. The ratio of the length and the width of the rectangle is 3 : 2. Calculate the length and the width of the rectangle.
5. Pak Anwar will buy a piece of land forming a rectangle of 30 m long and 20 m wide. The price of the land is Rp 150,000.00 per m2. How much will Pak Anwar pay for the land?
6. ABCD is square.
a. If AC = 5x−19 and BD = 3x+7, find the lengths of the diagonals.
b. If AD = 4y−15 and AB = y+6, find the lengths of all sides.
7. The lengths of the sides of a new square are 3 times longer than the original. What is the ratio between the original area of the square and the new one?
8. Let RSTU be a parallelogram and ∠RST = 80°, calculate ∠SRU and ∠TUR.
9. KLMN is a parallelogram with diagonals KM and NL intersecting at point P. If KP = 4a+5, KM = 13a, and PL = a+8, what is the length of PN?
10. IJKL is a rhombus and its diagonals intersect at point O.
a. If ∠ILO = 63°, so ∠OIL =....°, ∠IJO =....°, ∠JOK =....°
b. If ∠ILO = (2x+15)° and ∠IJO = (3x−1)°, so the value of
x =...…