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vlada-n [284]
3 years ago
6

ABCD is a rectangle and AC and BD are its diagonals. If AC = 10 cm, then BD is?

Mathematics
2 answers:
kiruha [24]3 years ago
5 0

Answer:

A. 10 cm

Step-by-step explanation:

In a right angled triangle, a² + b² = c² where c is the diagonal or hypotenuse. If you split a rectangle diagonally into two right angle triangles, the a and b of both triangles would be the same length. Therefore, the c or diagonals would also be the same length - 10 cm.

Hope this helps!

aev [14]3 years ago
4 0
10 because they are congruent
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The number of birds (b) in a park increases when the number of dogs in the park (d) decreases. Write the correct equation for th
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Complete question :

The number of birds (b) in a park increases when the number of dogs in the park (d) decreases. Write the correct equation for this scenario, and solve for the number of birds when there are 10 dogs.

Dogs(d) - - birds(b)

40 - - - - - - 10

50 - - - - - - 8

Answer:

b = k/d ; 40

Step-by-step explanation:

From the table:

Dogs(d) - - birds(b)

40 - - - - - - 10

50 - - - - - - 8

The number of birds(b) in a park increases when the number of dogs (d) decreases.

Hence we can infer that an inverse relationship exists between them.

Number of birds(b) ∝ 1 / number of birds

b ∝ 1 / d

b = k/d

k = (b × d)

Where k is the proportionality constant

When d = 40, b = 10

Solve for k

k = (40 * 10)

k = 400

Therefore, number of birds(b), when there are 10 dogs;

b = k/d

k = 400, d = 10

b = 400 / 10

b = 40

40 birds when dogs = 10

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