A folded napkin has a triangular cross section of sides x cm ,x +1 cm and x+2 cm if one of the angles of the triangle is 90 degrees find x

The value of x is 3 cm.

Step-by-step explanation:

Given : A folded napkin has a triangular cross section of sides x cm, x +1 cm and x+2 cm if one of the angles of the triangle is 90 degrees.

To find : The value of x ?

Solution :

One of the angle is 90 degrees i.e. it is a right angled triangle.

Applying Pythagorean theorem,

Where, H is the hypotenuse the largest side i.e. H=x+2 cm

P is the perpendicular i.e. P=x+1 cm

B is the perpendicular i.e. B=x cm

Substitute the value,

Reject x=-1 as it is not possible.

So, x=3

The sides are 3,4,5 cm.

Therefore, the value of x is 3 cm.

.there can be infinite values of m and n that can satisfy the above equation. for each value of m of m or n. there maybe infinite sets of solution for the above

step-by-step explanation:

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!