What is the value of x?

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Best answer

x is equal to seven.

**Step-by-step explanation:**

because the two horizontal lines are parallel, the ratios of the side segments between them will be the same.

That means you can say:

(2x + 10) / 3 = 40 / 5

(2x + 10) / 3 = 8

2x + 10 = 24

2x = 14

x = 7

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The value of x from the diagram given using the Triangle Similarity Theorem is 7

To get the value of x for the given triangle, we will use the Triangle Similarity Theorem.

From the given triangle, the following equation is true;

5/40 = 3 / 2x + 10

Multiplied cross

5 (2x + 10) = 3 (40)

10x + 50 = 120

10x = 120 - 50

10 times = 70

x = 7

Therefore, the value of x in the given diagram is 7