I believe the correct answer from the choices listed above is option A. If DF+FE=DE, then point F is <span>A. a midpoint of DE (with line over). F is the endpoint of line segment DF and is the starting point of line DE thus it is in between line DE. Hope this answers the question.</span>
He will need to buy 9 chocolate bars
Triangle ABF has base 10 and height 3, so area (1/2)*10*3 = 15.
Trapezoid EBCD has bases 6 and 7 and height 6, so area
.. (6+7)*6/2 = 39
The total area of the figure is
.. 15 +39 = 54 . . . . . square units
The Given Triangle PMO is a Right Angled Triangle with m∠M = 90°
Given m∠P = 40°
We know that : Sum of Angles in a Triangle = 180°
⇒ m∠P + m∠M + m∠O = 180°
⇒ 40° + 90° + m∠O = 180°
⇒ 130° + m∠O = 180°
⇒ m∠O = 180° - 130°
⇒ m∠O = 50°
We can notice that m∠O and m∠1 form a Linear Pair (180°)
⇒ m∠O + m∠1 = 180°
⇒ 50° + m∠1 = 180°
⇒ m∠1 = 180° - 50°
⇒ m∠1 = 130°
Last Option is the Answer
M = (t+1)/(t-3)
m(t-3) = t+1
mt-3m = t+1
(m-1)t = 3m+1
t = (3m+1)/(m-1)
