jugoslav

Let's assume that the top and the bottom lines are parallel...

Then angle h = 180 - [(180-84) + (180-120)]

The sum of the two parallel sides of a trapezoid is 44 cm. The segment that connects the midpoints of the two non-parallel sides divides the area of the trapezoid into two parts, in a ratio of 4:7. What is the product of the lengths of the two parallel sides?

If the height of a trapezoid is 2 cm, then the lengths of its bases are 10 cm and 34 cm.

10 * 34 = 340

Original angles are  45º  and  60º     (Ratio  3 : 4)

The ratio of the complements is      3 : 2 = (90 - 45) : (90 - 60) = 45 : 30

The ratio of the supplements is        9 : 8 = (180 - 45) : (180 - 60) = 135 : 120

There are 154 sweets.

And... what's the question?¿?

You just need to add up all the numbers on the diagram, and you'll get the answer.

Sit-circle the total is 50

Stay-circle the total is 29

Roll-circle the total is 34

1) At the Good dog Obedience School, dogs can learn to do three tricks: sit, stay, and roll over. Of the dogs at the school:

50 dogs can sit & 17 dogs can sit and stay |

29 dogs can stay & 12 dogs can stay and roll over |

34 dogs can roll over & 18 dogs can sit and roll over |

9 dogs can do all three & 9 dogs can do none.

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If I'm not mistaken (again :)) there are 84 dogs.

(2x - 1) / (2x + 2) = 7 / 10

2x - 1 * 10 = 2x + 2 * 7

20x - 10 = 14x + 14

20x - 14x = 14 + 10

6x = 24

x = 4

1/   Use the law of cosines to find an angle B.

2/    Using the same method, find an angle A. Divide the value of this angle by 2.

3/   Now you have a triangle ABM with one known side and all 3 known angles.

4/   Using the law of sines, you can calculate the length of BM.

If cosθ=3/5 then tanθ = 4/3