Question

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Answer 1

Step-by-step explanation:

imagine that this shape is the combination of 2 shapes :

1. a rectangle 4×1

it goes from the top down the side of 4 until the tilted line x begins.

2. a right-angled triangle

x being the Hypotenuse (the baseline opposite of the 90° angle). and the legs are the invisible line of 1 (going from the top right of x in parallel to the 1 line all the way to the 5 line) and the part of the 5 line below the 4 line : 5-4 = 1.

so, x can be solved by using Pythagoras

c² = a² + b²

c being the Hypotenuse, a and b are the legs.

x² = 1² + 1² = 2

x = sqrt(2) = 1.414213562... ≈ 1.4

Answer 2

Answer:

x = 1.4

Step-by-step explanation:

Visualize the figure as a rectangle with width 4 and height 1 combined with a triangle with base 1 and height 1.

Next, use the Pythagorean Theorem, a^2 + b^2 = c^2. Variables a and b represent the lengths of the legs, in this case 1 and 1, and variable c represents the length of the hypotenuse, in this case x.

1^2 + 1^2 = x^2

2 = x^2

x = 1.41421356237