91Ó°ÊÓ

History The symbol at the right appears throughout the Visitor Center in Texas' Washington-on-the-Brazos State Historical Park. If \(\overline{D H} \cong \overline{H G} \cong \overline{G F} \cong \overline{F E} \cong \overline{E D}\), find \(m \angle H E G\).

\(x^{2}+(y-3)^{2}=16\)

Multiple Choice Find the solution to the system of equations. (Algebra Review) $$ \begin{aligned} &y=3 x+5 \\ &5 x+3 y=43 \\ &\text { (A) }(2,11) \quad \text { (B) }(-11,2) \text { (C) }(-2,11) \quad \text { (D) }(11,2) \end{aligned} $$

. Critical Thinking Quadrilateral MATH is inscribed in \(\odot R\). Show that the opposite angles of the quadrilateral are supplementary.

Write an equation of the circle that has a diameter of 12 units and its center at \((-4,-7)\).

A right cylinder has a base radius of 4 centimeters and a height of 22 centimeters. Find the lateral area of the cylinder to the nearest hundredth. (Lesson 12-2)

Write an equation of the circle that has its center at \((5,-13)\) and is tangent to the \(y\)-axis.

Building A ladder leaning against the side of a house forms a \(72^{\circ}\) angle with the ground. If the foot of the ladder is 6 feet from the house, find the height that the top of the ladder reaches. Round to the nearest tenth. (Lesson 13-4)

Find the area of a \(20^{\circ}\) sector in a circle with diameter 15 inches. Round to the nearest hundredth. (Lesson 11-6)

Meteorology Often when a hurricane is expected, all people within a certain radius are evacuated. Circles around a radar image can be used to determine a safe radius. If an equation of the circle that represents the evacuated area is given by \((x+42)^{2}+(y-11)^{2}=1024\), find the coordinates of the center and measure of the radius of the evacuated area. Units are in miles.