\begin{tabular}{l} Use the diagonals to determine whether a parallelogram with \\ vertices \( U(2,-2), V(9,-2), W(9,-6) \), and \( X(2,-6) \) is \\ a rectangle, rhombus, or square. Give all the names that apply. \\ UW \( =X V \), so \( U V W X \) is a rectangle. \\ The slope of \( \overline{U W}=-4 / 7 \) and the slope of \( \overline{X V}= \) \\ 7/4. \\ Therefore, the diagonals are perpendicular. \\ So, \( U V W X \) is a rhombus and a square. \\ \( U W=X V \), so \( U V W X \) is a rectangle. \\ The slope of \( \overline{U W}=-4 / 7 \) and the slope of \( \overline{X V}= \) \\ \( 4 / 7 \). \\ Therefore, the diagonals are not perpendicular. \\ So, \( U V W X \) is not a rhombus, nor is it a square. \\ \( U W \neq X V \), so \( U V W X \) is not a rectangle. \\ The slope of \( \overline{U W}=-4 / 7 \) and the slope of \( \overline{X V}= \) \\ \( -7 / 4 \). \\ Therefore, the diagonals are perpendicular. \\ So, \( U V W X \) is a rhombus and a square. \\ UW \( \neq X V \), so \( U V W X \) is not a rectangle. \\ The slope of \( \overline{U W}=-4 / 7 \) and the slope of \( \overline{X V}= \) \\ \( 4 / 7 \). \\ Therefore, the diagonals are not perpendicular. \\ So, \( U V W X \) is not a rhombus, nor is it a square. \\ \hline\end{tabular}

Identify the measure of each interior angle of a regular 15 - gon.

2) Representá los siguientes 3 irracionales en la recta real, por separado. Recordá elegir la escala adecuada en tu hoją cuadriculada y utilizar regla y compás. Mostrá los cálculos adecuados y cómo queda escrito el Teorema de Pitágoras cómo queda el triángulo y las medidas de sus lados. \( \begin{array}{lll}\text { a) } \sqrt{50} & \text { b) }-\sqrt{13}+1 & \text { c) } \sqrt{13}+\sqrt{10}\end{array} \)

9. En osto mapa. Ia carretera que va de la localidad de la Esperanza al Puerto de Veracruz encuentra remarcada y mide 6 centlmetros. La escala a la que está hecho el mapa es 1.28 . ¿ es la medida real de esa carretera?

cylindrical tank of diameter 28 m and height 2 m contains water to the dept Calculate: i) The capacity of the tank in litres. ii) The volume of water required to fill the tank in litres. Water was pumped into the tank starting at 11.25 a.m. to 1.15 pm . when calculate the rate at which water was pumped into the tank. i) A rectangular tank has a base measuring has a base measuring 2.4 m bJ the capacity of the tank is 6480 litres, find the height of the tank in metre ii) The above tank was initially \( 1 / 4 \) full of water

Analitik düzlemde \( d_{1}: 2 x+y-12=0 \) ve \( d_{2}: x-y+6=0 \) doğruları veriliyor. 9. \( d_{1} \) ve \( d_{2} \) doğruları ile \( x \) ekseni arasında kalan alanın kaç birimkare olduğunu bulu- nuz. 10. \( d_{1} \) ve \( d_{2} \) doğruları ile eksenler arasında kalan alanın kaç birimkare olduğunu bulunuz.