Tricia has a miniature replica of the Empire State Building. The replica is 10 inches tall, and the height of its observation deck is 8.3 inches. If the actual height of the Empire State Building is 1,454 feet, about how tall is the actual observation deck?

\( \begin{array}{lr}24 \text { Due triangoli } A B C \text { e } A^{\prime} B^{\prime} C^{\prime} \text { sono tali che } A B \cong A^{\prime} B^{\prime}, \\ B C \cong B^{\prime} C^{\prime} \text { e uno degli angoli esterni di vertice } B \text { è con- } \\ \text { gruente a uno degli angoli esterni di vertice } B^{\prime} \text {. Dimo- } & \text { cui } \\ \text { stra che i due triangoli sono congruenti. }\end{array} \)

5. Найти площадь фигуры, огғ \( y=-x^{2}-4 x \) и \( у=4+x \)

38. A closed rectangular box of length 8 m , breadth 6 m and height 12 m is to be made up of steel. Find the area of the steel sheet required to make the box.

Two circles, \( c_{1} \) and \( c_{2} \), touch internally. The equations of the circles are: \[ c_{1}:(x+1)^{2}+(y-3)^{2}=49 \] \[ c_{2}: x^{2}+y^{2}-6 x-12 y+k=0 \] Work out the two possible values of \( k \), where \( k \in \mathbb{Z} \).

What are their sizes? One of the angles formed when two lines intersect is \( 127^{\circ} \). What are the sizes of the other three angles?