En la siguiente imagen, la Figura 2 se obtuvo aplicando una homotecia de centro \( P \) y factor k a 1 ura 1 y \( \overline{\mathrm{PD}} \) mide lo mismo que \( \overline{\mathrm{DH}} \).

Calcola il quarto angolo del quadrilatero che ha le seguenti misure di angoli interni. a \( 75^{\circ}, 122^{\circ}, 43^{\circ} \) b \( 61^{\circ}, 97^{\circ}, 103^{\circ} \) c \( 74^{\circ}, 71^{\circ}, 77^{\circ} \)

296. Il lato, l'altezza e una diagonale di un rombo misurano, rispettivamente, \( 35 \mathrm{~cm}, 33,6 \mathrm{~cm} \) e 56 cm . Calcola la misura dell'altra diagonale.

A sector has radius 4 and central angle \( 184^{\circ} \). Find the area of the sector. Give your answer in terms of \( \pi \) or as a decimal rounded to two decimal places.

Stabilisci se le seguenti quaterne di numeri rappresentano le misure in centimetri delle lunghezze dei lati di un quadrilatero. Se si, calcola it perimetro del quadrilatero. a \( 13,24,7,41 \) b \( 3,10,8,22 \) e \( 11,9,9,15 \)

AFerris wheel has a radius r of 24.5 feet. The height of the tower \( t \) is 30.8 feet. The horizontal distance d from the origin to the base of the tower which lies to the right of the origin is 43.7 feet. Find the standard form of the equation of the circle represented by the Ferris wheel. The standard form of the equation of the circle represented by the Ferris wheel is (Do not type units. Type any numbers as decimals. Use the variables \( x \) and \( y \).