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Viefleur [7K]
3 years ago
9

Are the following triangles similar? Justify your answer.

Mathematics
1 answer:
Ber [7]3 years ago
7 0

Answer:

Yes they are similar.

There are three similarity criteria for triangles.

The first one (AAA) , your case, says that two triangles are similar if their corresponding angles are equal.

The second one (SAS) says that two triangles are similar if two sides have lengths in the same ratio and the angles that are included in these two sides are equal.

The third one (SSS) says that two triangles are similar of all of their sides have lengths in the same ratio.

About the first criteria, you actually need only two corresponding angles to be the same, because the third will always be the difference between 180° and the two angles.

Remember that you CANNOT exceed 180° for the sum of the three angles of a triangle.

And remember also that similarity involves correspondence in sides and angles. Two triangles, with same angles, but mirrored, are not similar!

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You need more information to answer this question. Is there a table or percentage for that age group?
5 0
3 years ago
A sail is in the form of a right triangle that is two times as high as it is wide. The sail is made from 4 square meters of mate
Ivahew [28]
<h3>Answer:</h3>

4 m

<h3>Explanation:</h3>

If we let h represent the height of the sail, then its width is h/2. The area of the sail is given by ...

... A = (1/2)wh

Filling in the given information, we have

... 4 m² = (1/2)(h/2)h

... 16 m² = h² . . . . . . multiply by 4

... 4 m = h . . . . . . . . take the square root

4 0
3 years ago
Heidi is training for a marathon. her training started at 5km and increased by 1.5km every week.
Zigmanuir [339]
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2 years ago
Victoria wants to purchase a skateboard. She has $125 to spend. She finds one that regularly sells for $139.99 and is on sale fo
Pavel [41]

Well, to see if she can afford the skateboard, start by finding the discount and then finding the sales tax of that.

To find the discount, first find 15% of $139.99 and then subtract it since that's how much you're getting off.

<em>Remember: </em><em>to find percentage, convert the percentage into a decimal by dividing it by 100, and then multiplying it by what you're finding a percentage of. </em>

15% ÷ 100 = 0.15

$139.99 x 0.15 = 20.9985, which can be rounded up to $21.

$139.99 - 21 = 118.99.

Now that we have the discount, we find the sales tax, which can be found the same way as the discount, but we add it to the total instead fo subtracting it.

7% ÷  100 = 0.07

0.07 x 118.99 8.3293 or  $8.33

118.99 + 8.33 = 127.32

<em>This is the final total of how much the skateboard would cost.</em>

So:

No, she would not have enough money to buy the skateboard. With the discount alone, she could afford it, since $118 falls in her budget range, but with the added tax, it's 13 dollars over and she cannot afford the skateboard.

5 0
3 years ago
For the following set of 20 numbers:
patriot [66]

Answer:

I cannot answer all of this, so I will only answer what I can:

Q1: 13

Q3: 22.5

IQR: 13.5

IQR(1.5): 20.25

Q3 + IQR(1.5) = 43

Q1 - IQR(1.5) = -7.25

I don't know if my calculations are all right but I hope this helps! :)

4 0
2 years ago
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