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Olegator [25]
3 years ago
11

What is the length of each leg of the triangle below?

Mathematics
1 answer:
iragen [17]3 years ago
3 0

Answer:

option A

Step-by-step explanation:

since the given triangle is an isosceles triangle it's two remaining sides are equal

let the length of missing side be x

using pythagoras theorem

a^2 + b^2 = c^2

x^2 + x^2 = 22^2

2x^2 = 484

x^2 = 484/2

x = \sqrt{242}

x = 11\sqrt{2}

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Sonny substituted 5 for x in the proportion startfraction 16 over x endfraction = startfraction 48 over 15 endfraction and cross
frez [133]

The cross products of the proportion are equal.

According to the question, Sonny's equation can be written as follows.

16/x = 48/15

Now, the variable x is replaced by the constant 5. So the equation can now be written as follows.

16/5 = 48/15

When two fractions are equal to one another as shown above, the constants are cross multiplied with one another in order to form an equation.

16*15= 48*5

The values of both the products are equal which is 240.

Therefore, because the cross products of the proportion are equal.

Learn more about Proportion on:

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2 years ago
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Romashka-Z-Leto [24]

Answer:

Each piece is 4/5 m long

Step-by-step explanation:

Kofi has 4 meters of fabric

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6 0
3 years ago
Read 2 more answers
Based on the diagram shown, find θ to the nearest degree.
sattari [20]

Answer:

  θ = 38°

Step-by-step explanation:

The lower right triangle is congruent to the upper left triangle, so we have θ and 20° being the two acute angles in the triangle. The law of sines tells you ...

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___

Another solution to the triangle is θ = 180° -38° = 142°. The diagram clearly shows θ as an acute angle, so we take this second solution to be extraneous.

8 0
3 years ago
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The answer should be
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3 years ago
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