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krek1111 [17]
3 years ago
13

If ∠ABD = 82°, what is ∠ABE?

Mathematics
2 answers:
Amanda [17]3 years ago
8 0

Answer:  The measure of ∠ABE is 41°.

Step-by-step explanation:  We are given that ∠ABD = 82°.

We are to find the measure of ∠ABE.

From the figure, we note that

ABDC is a kite with diagonals AD and BC intersecting at the point E. The diagonal BC is the main diagonal of the kite.

We know that

the main diagonal of a kite bisects the pair of opposite angles.

That is, the diagonal BC bisects ∠ABD.

So, we have

m\angle ABE=\dfrac{1}{2}\times m\angle ABD=\dfrac{1}{2}\times 82^\circ=41^\circ.

Thus, the measure of ∠ABE is 41°.

PtichkaEL [24]3 years ago
6 0
<span>If ∠ABD = 82°,then ∠ABE = 82 /2 = 41

answer: </span> ∠ABE = 41
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The probability that the cost for someone's dog is higher than for the cat is 33.2%.

Step-by-step explanation:

With the data given, we know that the difference in cost of medical care of dogs and cats have a normal distribution with μ=-20 and σ=46.

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3 years ago
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cluponka [151]

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the other two dimensions are (x + 1) and  (x - 6)

Step-by-step explanation:

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                          --------------------------------------

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                      -  (x³  + 2x²)

                         ------------------------------

                                 -5x² - 16x - 12

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                         -------------------------------

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                                         - (-6x - 12)

                         --------------------------------------

                                                 0

Factorize the quotient ( x²  - 5x - 6);

x²  - 5x - 6 =   x²  + x  -6x - 6

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Thus, the other two dimensions are (x + 1) and  (x - 6)

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