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Katen [24]
3 years ago
10

Which of the following represents the length of a diagonal of this trapezoid?

Mathematics
1 answer:
seropon [69]3 years ago
5 0

Answer:

(D)

Step-by-step explanation:

Given ABCD is a trapezoid.Join the points A and C of the trapezoid together to form a diagonal of the trapezoid.Thus, Points A and C have coordinates (-a,0) and (b,c).

Using the distance formula on AC, we have

AC=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}

=\sqrt{(b+a)^{2}+(c-0)^{2}}

=\sqrt{(a+b)^{2}+c^{2}}

which is the required length of the diagonal of the trapezoid.


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Can someone help me.
Sauron [17]

Answer:

The answer to your question is: 20°

Step-by-step explanation:

Data

m∠XZY = 40

m∠XZB = 20

Process

1.- Find the measure of ∠ XAB

   ∠XAB = 40°   because AB ║ YZ

2.- Find the measure of ∠ZAB

     ∠ZAB + ∠XAB = 180

    ∠ZAB = 180 - ∠XAB

    ∠ZAB = 180 - 40

    ∠ZAB = 140°

3.- Find the measure of ∠ABZ

    The sum of the internal angles in a triangle equals 180°

     ∠AZB + ∠ZAB + ∠ABZ = 180

     20° + 140° + ∠ABZ = 180

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    ∠ABZ = 20°

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3 years ago
Can someone help me understand how to create 3 proofs
Katarina [22]

Step-by-step explanation:

If I'm understanding what a "proof" means, some answers could be:

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Hope this helps you! Have a good night!


7 0
3 years ago
Edward has a box of following Skittles: 5 red, 4 green, 6 orange, 3 purple, and 7 yellow. He wants to know what the probability
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Answer:

Let's add the total skittles to get our outcome:

25 in total.

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So therefore your expression is:

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2 years ago
A taxi charges a flat rate of $1.75, plus an additional $0.65 per mile. If Erica has at most $10.20 to spend on a
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5.3.24 A is a 3times3 matrix with two eigenvalues. Each eigenspace is​ one-dimensional. Is A​ diagonalizable? Why? Select the co
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Answer:

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Step-by-step explanation:

Here the sum of dimensions of eigenspace is not equal to the number of columns, so therefore A is not diagonalizable.

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3 years ago
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