It looks like you've uploaded an image containing a mathematics exam or worksheet, focusing on geometry, algebra, and trigonometry. Here’s an outline of some of the questions that I can help you with:

1. Question 26: Proving that $2 - \frac{\sqrt{3}}{5}$ is an irrational number, assuming that $\sqrt{3}$ is irrational.
2. Question 27: Finding the dimensions of a rectangular garden, given that the half-perimeter is 36 meters and the length is 4 meters more than the width.
3. Question 28: Proving that $a^2 + b^2 = m^2 + n^2$, given two trigonometric equations.
4. Question 29: Finding the ratio in which a line divides a line segment and determining the point of intersection of two lines.
5. Question 30: Proving that $\frac{AB}{PQ} = \frac{AD}{PM}$, where $\triangle ABC \sim \triangle PQR$.
6. Question 31: Proving that a parallelogram circumscribing a circle is a rhombus.

Let me know if you'd like me to work on the solution to any of these specific problems!