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Natasha_Volkova [10]
11 months ago
11

Solve the problems.

Mathematics
1 answer:
user100 [1]11 months ago
6 0

By AAS congruence theorem, ΔABD is congruent ΔCDB.

Quadrilateral ABCD is given in the figure.

<h3>What is the congruence theorem?</h3>

Triangle congruence theorem or triangle congruence criteria help in proving if a triangle is congruent or not. The word congruent means exactly equal in shape and size no matter if we turn it, flip it or rotate it.

Given, AB║DC

Consider ΔABD and ΔCDB

m∠A=m∠C=90° (Given)

m∠ABD=m∠BDC (Alternate interior angles)

BD = BD (Common)

Using AAS congruence theorem, ΔABD ≅ ΔCDB

Hence, by AAS congruence theorem, ΔABD is congruent ΔCDB.

To learn more about the congruent theorem visit:

brainly.com/question/24033497.

#SPJ1

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Serial numbers for a product are to be made using 2 letters followed by 3 digits. The letters are to be taken from the first 6 l
kvv77 [185]
<h3>Answer:  21600 </h3>

==========================================================

Explanation:

There are 6 letters to pick from {A,B,C,D,E,F} and we have two slots to fill, where no repeats are allowed. This means we have 6*5 = 30 different ways to pick two letters.

There are 10 digits to pick from {0,1,2,...,9} and there are 3 slots to fill. This gives 10*9*8 = 720 different permutations for this portion.

Overall, we have 30*720 = 21600 different serial numbers possible.

3 0
2 years ago
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Sergeeva-Olga [200]

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D. it is the point where the three angle bisectors of the triangle intersect.

Step-by-step explanation:

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