13. Dada una circunferencia con centro en \( (-2,3) \) y radio de 5 unidades, icuál es la ecuación de esta circunferencia en su forma general \( \begin{array}{l}x^{2}+y^{2}+4 x-6 y-12=0 \\ x^{2}+y^{2}+4 x-6 y+12=0 \\ x^{2}+y^{2}-4 x-6 y+12=0 \\ x^{2}+y^{2}-4 x-6 y-12=0\end{array} \)

The longer leg of a right triangle is 1 cm longer than the shorter leg. The hypotenuse is 9 cm longer than the shorter leg. Find the side lengths of the triangle. Length of the shorter leg: \( \square \mathrm{cm} \) Length of the longer leg: \( \square \mathrm{cm} \) Length of the hypotenuse: \( \square \mathrm{cm} \)

ai The sides of a big triangle measure 100 m each. The sides of a small triangic measure 10 m less than the sides of the big triangle. fipd the perimeter of the big triangle. (ii) Find the perimeter of the smail trian is the ditference between the two perimeters?

Homework 1. find the crea of a rectangler with langth 6 cm and breadth \( \frac{12}{2} \mathrm{~cm} \)

The shorter leg of a right triangle is 5 m shorter than the longer leg. The hypotenuse is 5 m longer than the longer leg. Find the side lengths of the triangle. Length of the shorter leg: \( \square \mathrm{m} \) Length of the longer leg: \( \square \mathrm{m} \) Length of the hypotenuse: \( \square \mathrm{m} \)

In this exercise, lines m and n are parallel. Find the measure of each numbered angle.