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V125BC [204]
3 years ago
12

Write an inequality that represents the missing dimension x

Mathematics
1 answer:
FrozenT [24]3 years ago
4 0

*see the figure referred to in the attachment below.

Answer:

x < 14

Step-by-step explanation:

The figure given is a triangle with base (b) = x, and height (h) = 6 m.

We are told that the area is less than 42 m². To write an inequality that represents the base (b) = x, let's find the area of the triangle and create an inequality statement.

Area of ∆ = ½*b*h = ½*x*6

Area = x*3 = (3x) m²

The area is less than 42 m², as stated in the question. Which means, the inequality statement would be:

3x < 42

Divide both sides by 3

3x/3 < 42/3

x < 14

The inequality representing the missing dimension (the base) is x < 14

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