Refer to the figure in which O is the center of the circle, 
is a tangent, m?PCE = 20° m?Boc = 80°, PE = 10 ft, PD = 12 ft, ER= 4 ft, and BR= 5 ft.
Find m?DPE
20°
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Provide an appropriate response.Solve for x: log3 81 = x
A. x = -4 B. x = 27 C. x = 4 D. x = 3
Use the discriminant to determine whether the following equations have solutions that are: two different rational solutions; two different irrational solutions; exactly one rational solution; or two different imaginary solutions.s2 + 7s - 8 = 0
A. Two different imaginary solutions B. Two different irrational solutions C. Exactly one rational solution D. Two different rational solutions
Write the number as a product of a real number and i. Simplify the radical expression.
A. -4i
B. -i
C. ± 4
D. 4i
Solve the problem.You have 120 feet of fencing to enclose a rectangular plot that borders on a river. If you do not fence the side along the river, find the length and width of the plot that will maximize the area.
A. length: 60 feet, width: 30 feet B. length: 90 feet, width: 30 feet C. length: 30 feet, width: 30 feet D. length: 60 feet, width: 60 feet