Let's go through each question in the image and solve them.

Question 5

The angles of a triangle are given as:

1. $2x + 9$
2. $x + 13$
3. $x - 8$

Since the sum of the angles in a triangle is $180^\circ$, we can set up the equation: $(2x + 9) + (x + 13) + (x - 8) = 180$ Simplify this equation: $4x + 14 = 180$ Subtract 14 from both sides: $4x = 166$ Divide by 4: $x = 41.5$

So, $x = 41.5$.

Question 6

The rectangle has the following side lengths:

1. Two sides are $x$
2. The other two sides are $2x + 5$ and $3x - 2$

The perimeter of a rectangle is given by: $\text{Perimeter} = 2(\text{Length} + \text{Width})$ So, we calculate: $\text{Perimeter} = 2(x + (2x + 5) + x + (3x - 2))$ Which simplifies to: