(5) Angle ADC is the sum of angles ADB and BDC.
(6) Yes, because lines AG and EC form two pairs of vertical angles, including ADC and EDG, as well as ADE and CDG.
(7) Angle HJK is clearly a right angle, and a right angle has measure 90°.
Answer:
1). x = 81
2). x = 84
Step-by-step explanation:
1). By applying geometric mean theorem in the given triangle,

56x = (18√14)²
56x = 4536
x = 
x = 81
2). By applying geometric mean theorem,

16x = (8√21)²
16x = 1344
x = 
x = 84
Answer:
-11
Step-by-step explanation:
Triangle ABC
SO,
AB = AC +BC
x + 8 = 2x -5 + (BD + DC)
x + 8 = 2x-5 + 10 +14
x + 8 = 2x + 19
2x - x = -19 + 8
x = -11
Answer: c. 21,000
Step-by-step explanation:
Since, by the given diagram,
The approximate number of security guard job opening = 39,000
And, the approximate number of pharmacy technicians job opening = 18,000
Hence, the difference of the number of security guard job opening and the number of pharmacy technicians job opening = 39,000 - 18,000 = 21,000
Thus, the job openings for security guards is approximately 21000 greater than that of pharmacy technicians.
⇒ Option C is correct.