1) in first place you need to Know what kind of figure is it, in order to find solve the problem, as you can see it is a parallelogram, and the condition for this geometric figure the opposites are equal ,
2) if you have a non -rectangular parallelogram and draw a diagonal from A to C, you obtain two equal triangles, for this reason the line AC IS CALLED DIAGONAL, and divide the parallelogram
3) in first place to determine that the angles are congruents for two triangles the Diagonal is comun for both, and the vertex ∡CAB IS THE SAME ∡ACD
4) If the diagonal AB AND CD are equal , AD AND BC are equal too, then the triangles are congruent
5) segment AB Parallel to CD THEY HAVE THE SAME SLOPE AND MAGNITUDE
The answer is: [A]: 45x² + 81x + 36 .
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Explanation: Use "FOIL" technique: (First, Outer, Inner, and Last Terms);
then, combine the "like terms", to simplify.
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(5x+4)(9x+9) = 45x² + 45x + 36x + 35 = 45x² + 81x + 36 .
(which is answer choice: "A".).
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Answer:
1/26=4/104
Step-by-step explanation:
The probability of pulling a diamond if completely shuffled properly, is a 1/4. Because there are 4 suits. This is only if, there are no jokers.
And the probability of pulling a jack, is a 4/51. Because there are 4 jacks out of the 51 cards, but you already pulled out a diamond card, so you take 1 out.
Multiply them together, and you will get 4/104 = 1/26
There is a 1/26 chance of pulling out a diamond card, then a jack.
All's =a
Bob's =b
Lunar =l
A:B = 4:5 B:C = 6:7
Multiply the two ratios above by 6 and 5 respectively
A:B = 24:30 and B:L=30:35
Now that we have the B's to be the same
Alls:Lunar = 24:35
