Question

The two quadrants are similar. What is the value of x? 2,5 3.6,x

Answer 1

Correct

Answer 2

There’s a rectangle with L3.4 and W5.7.
There’s another rectangle similar to the first. If it has L17, what is it’s W?

Answer 3

Correct again

Answer 4

A right isosceles triangle has side lengths of 13.2 13.2 and 18.6 meters respectively. What is the hypotenuse of a similar triangle with legs 4.4 meters in length each?

Answer 5

No

Answer 6

If the two quadrants are similar, that means the corresponding sides of the quadrants are proportional.

Using the proportionality of the sides of the two quadrants, we can set up the equation:

2 / 3.6 = 5 / x

Solving for x:

2 / 3.6 = 5 / x
2x = 3.6 * 5
2x = 18
x = 18 / 2
x = 9

Therefore, the value of x is 9.

Answer 7

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Answer 8

Since the two rectangles are similar, their corresponding sides are in proportion.

Let's set up the proportion using the given information:

L1 / W1 = L2 / W2

We are given:
L1 = 3.4, W1 = 5.7
L2 = 17 (as given), W2 = unknown (let's call it x)

Plugging in the values:

3.4 / 5.7 = 17 / x

Now solve for x:

3.4 / 5.7 = 17 / x
3.4x = 5.7 * 17
3.4x = 96.9
x = 96.9 / 3.4
x = 28.5

Therefore, the width of the second rectangle is 28.5.

Answer 9

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Answer 10

In a right isosceles triangle, two sides are equal.

Given the side lengths of the original triangle as 13.2, 13.2, and 18.6 meters, the hypotenuse of the original right isosceles triangle can be found using the Pythagorean theorem.

Let "x" be the length of the hypotenuse of the original triangle:

x^2 = 13.2^2 + 13.2^2
x^2 = 174.24 + 174.24
x^2 = 348.48
x = √348.48
x = 18.65 meters

Now, we need to find the hypotenuse of a similar triangle with legs of 4.4 meters each and maintaining the same ratio with the original triangle. The ratio between the sides of the two similar triangles will be:

18.6/13.2 = hypotenuse_new/4.4

Solving for the hypotenuse of the new similar triangle:

18.6/13.2 = hypotenuse_new/4.4
hypotenuse_new = (18.6/13.2) * 4.4
hypotenuse_new = 6.23 meters

Therefore, the hypotenuse of the similar triangle with legs of 4.4 meters each is 6.23 meters.

Answer 11

Let's correct the solution:

In an isosceles right triangle, the two legs are congruent. Given that the original triangle has side lengths of 13.2, 13.2, and 18.6 meters, the hypotenuse can be found using the Pythagorean theorem.

Let the hypotenuse of the original triangle be "h."

Using the Pythagorean theorem:
h^2 = 13.2^2 + 13.2^2
h^2 = 174.24 + 174.24
h^2 = 348.48
h = √348.48
h = 18.65 meters

Now, we need to find the hypotenuse of the similar triangle with legs of 4.4 meters each. Since the triangles are similar, the ratio of the hypotenuses will be the same as the ratio of the corresponding leg lengths.

Let the hypotenuse of the new triangle be "h2."

Setting up the ratio:
13.2 / 4.4 = 18.65 / h2

Solving for h2:
h2 = (18.65 * 4.4) / 13.2
h2 = 6.2 meters

Therefore, the hypotenuse of the similar triangle with legs of 4.4 meters each is 6.2 meters.