civonamzuk

In trapezoid EFGH, EF is parallel to GH and P is the midpoint of line segment EH. If the area of triangle PEF  is 18, and the area of triangle PGH  is 30, then find the area of trapezoid EFGH.

[EFGH] = 96

Quadrilateral ABCD  is a parallelogram. Let E  be a point on AB, and let F be the intersection of lines DE and BC. The area of triangle EBF is 1 and the area of triangle EAD  is 20. Find the area of parallelogram ABCD.

Let quadrilateral ABCD be a rectangle.

AE = 10

AD = 4

BE = √5

BF = √0.8

[ABCD] = 4(10 + √5)

Let AB and CD be chords of a circle, that meet at point Q inside the circle. If AQ=6, BQ=12, and CD=38, then find the minimum length of CQ.

AQ * BQ = 72

CQ(38 - CQ) = 72

CQ = 2

Angle A = 45º       

AD = DE = 3√2

CD = 12 / 3√2 = 2√2

[BCE] = 6 + (2√2)² / 2

[ABC] = [ADE] + [CDE] + [BCE] 

His friends => x

5x + 16 = 7x

x = 8

Yacob has $60

Yacob wants to buy some chocolates for his friends. If he spends $5 on each

friend, he will have $20 left. If he spends $7 on each friend, he will have $4 left.

How much money does Yacob have?

His friends => x

5x + 16 = 7x

x = 8

Yacob has $60

x - [132 + 3/4(x - 132)] = x/6

x = 396

The cost of all 5 books =>      3/4(396 - 132) = 198

ΔWXY ~ ΔWXZ

XZ / 5 = 5 / 14

XZ = 25/14

YZ = 14 - 25/14 = 171/14

x - [x/5 + 28 + 7/12(x - x/5 -28)] = 25

x = 110

Eliza was fixing a jigsaw puzzle. After three days, the number of pieces she fixed was 1/3 of the number of pieces she unfixed. After another week, she managed to fix another 20 pieces and was left with 3/5 of the puzzle unfixed. How many pieces were there in the puzzle?

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All pieces of the puzzle are "unfixed"!!!

x - (x/3 + 20) = 3/5x

x = 300