Arectangle on a coordinate plane has side lengths of 5 units and 4 units, so its diagonal is 41 units. the position of the rectangle is changed by a rigid transformation. what is the length of the diagonal of the transformed rectangle?

Length of the diagonal for transformed rectangle is 6.40 units.

Step-by-step explanation:

A rigid transformation is a translation of the image which has same dimensions.

We know that the “length of the rectangle” = 5 units and the width = 4 units.

The units may be any units of length: inches, cm, feet, miles, km etc.

Calculating “the area of the rectangle”:

Area of this rectangle = length x width (of length x breadth) = 5 × 4= 20 square units

Calculating the perimeter of the rectangle

Perimeter of this rectangle = 2 × (length + width) = 2 × (5+4) = 18 units

Calculating the length of the diagonal of the rectangle

The diagonal of this rectangle may be computed using Pythagorean theorem (or Pythagoras Theorem).  

Length of the diagonals = 6.40 units.

x = 17

step-by-step explanation:

in the given figure, two triangles are inscribed in a circle where ∠bae ≅ ∠dae which makes the side be and de equal so we can write it as:

3x - 24 = x + 10

solving this equation for x to get:

3x - x = 10 + 24

2x = 34

x = 34/2

x = 17

therefore, the value of x = 17.

351°f

step-by-step explanation: