Answer:
Width = 1 m and length = 6 m
Step-by-step explanation:
Let b is the width of the rectangle.
Length = 5+b
The area of the rectangle, A = 6 m²
We need to find the dimensions of the rectangle. We know that, the area of a rectangle is given by :
A = lb

Width of the rectangle = 1 m
Length of the rectangle = 5+b = 6 m
Hence, this is the required solution.
(-2,1) i think that’s the answer
<u>Answer-</u>
- YZ = 9 cm

- XZ is the longest segment in triangle XYZ.
<u>Solution-</u>
Triangle XYZ is a right angle triangle with ∠Y=90°
Triangle XYZ is also an isosceles triangle, as
∠X =45°= ∠Z
Therefore, triangle XYZ is a right angle isosceles triangle.
So,
XY = YZ = 9 cm
Applying Pythagoras theorem,

In a right angle triangle, always the hypotenuse is the largest. So XZ is the longest segment in triangle XYZ.
Vertical Angles: Theorem and Proof
Theorem: In a pair of intersecting lines the vertically opposite angles are equal. It can be seen that ray \overline{OA} stands on the line \overleftrightarrow{CD} and according to Linear Pair Axiom, if a ray stands on a line, then the adjacent angles form a linear pair of angles.