A pair of similar triangles is shown. Find the measure of the segment marked with the letter x.

A. x = 12
B. x = 7
C. x = 21
D. x = 28


Answer: C

Mathematics

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Determine the truth value of the following statement.Assume that p has a truth value of 0.32, and q has a truth value of 0.58. ~(p ? q)

A. 0.32 B. 0.68 C. 0.58 D. 0.42

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Write the expression as the logarithm of a single number or expression with a coefficient of 1. Assume all variables represent positive numbers.log 15 - log 5

A. log 
B. log 8
C. log 10
D. log 3

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Write the complex number in polar form. Express the argument in degrees, rounded to the nearest tenth, if necessary.-5i

A. 5(cos 90° + i sin 90°) B. 5(cos 0° + i sin 0°) C. 5(cos 270° + i sin 270°) D. 5(cos 180° + i sin 180°)

Mathematics

Ohm's Law for the current I in a circuit with voltage E, resistance R, capacitance reactance XC, and inductive reactance XLis  Use this law to solve the problem.Find XCif I = 6 - 2i, E = 5 - 5i, R = 9, and 

A.  + 8i
B. -  - 8i
C. -  + 8i
D.  - 8i

Mathematics