2. Which statement is false about the relationship of the sides in the triangle shown in the picture below?

Mathematics

1 answer:

MaRussiya [10]2 years ago

5 0

Based on the triangle inequality theorem, the that is false about the relationship of the side of the triangle given is: D. x = 7.

<h3>What is the Triangle Inequality Theorem?</h3>

The triangle inequality theorem holds that the length of any side of a triangle is less than the sum of the length of the sides of the other two sides.

Applying the triangle inequality theorem, it means the following should be true for any value of x given:

x + 2 + x + 3 > 3x - 2

2x + 5 > 3x - 2

Plug in x = 3 to find out:

2(3) + 5 > 3(3) - 2

11 > 4 (True)

Plug in x = 1 to find out:

2(1) + 5 > 3(1) - 2

8 > 2 (True)

Plug in x = 7 to find out:

2(7) + 5 > 3(7) - 2

19 > 19 (FALSE)

Therefore, the false statement is: D. x = 7.

Learn more about the triangle inequality theorem on:

brainly.com/question/309896

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Tony used a photocopier to dilate the design for a monorail track system. The figure below shows the design and its photocopy

Darina [25.2K]

Answer:

12 m

Step-by-step explanation:

Given that the design, ABCD, was dilated to get a photocopy, EFGH, a scale factor or ratio was multiplied by the original lengths of the design to get the new measurement of the photocopy.

Thus, we are given the ratio, CD:GH = 2:3.

This means, any of the corresponding lengths of both figures would be in that same ratio.

Using the ratio of the design to the photocopy, 2:3, we can find the length of side EH of the photocopy.

The corresponding side of EH in the design is AD = 8m. Thus, AD to EH = ⅔

$\frac{AD}{EH} = \frac{2}{3}$