Answer:
x° is 66°
Step-by-step explanation:
From the given diagram, we have;
∠JIH = 105° Given
∠IDJ = 39° Given
Therefore, we have;
∠JID and ∠JIH are supplementary angles, by the sum of angles on a straight line
∴ ∠JID + ∠JIH = 180° by definition of supplementary angles
∠JID + 105° = 180° by substitution property
∠JID = 180° - 105° = 75° by angle subtraction postulate
∠JID = 75°
∠IDJ + ∠JID + ∠IJD = 180° by the sum of interior angles of a triangle
∠IJD = 180° - (∠IDJ + ∠JID) = 180° - (39° + 75°) = 66° angle subtraction postulate
∠IJD = 66°
∠x° ≅ ∠IJD, by vertically opposite angles
∴ ∠x° = ∠IJD = 66° by the definition of congruency
∠x° = 66°
You are multiply by 6 each time.
The next term is -216 x 6
-216 x 6= -1296
-1296 is your answer
hope this helps
Answer:
a: 162
b: 142
Step-by-step explanation:
a: december 1=2
a: december 2=6
a: december 3 = 6 x 3 = 18
a: december 4 = 18 x 3 =54
a: december 5 = 54 x 3 =162
~ triples the number of newspapers means "x3" ~
so on the last day, 162 newspapers
B: sum up all the newspapers:
2 + 6 + 18 + 54 + 162
= 8 + 18 + 54 + 162
= 26 + 54 + 162
= 80 + 162
= 242 all in total newspapers
Answer:7.) C 8.) A
Step-by-step explanation:
Answer:
a) 9000 ft-lb
b) 9000 ft-lb
Step-by-step explanation:
Equation for the work:
The equation for the work done is given by:

In which F is the force needed and d is the distance. The time does not interfere on the work.
A 300-lb gorilla climbs a tree to a height of 30 ft
This means that 
Thus

The work done in both cases is of 9000 ft-lb, as the work is not a function of time.