Answer:
see explanation
Step-by-step explanation:
Using the trigonometric identities
secx =
, cosecx = 
cotx =
, tanx = 
Consider the left side
secA cosecA - cotA
=
×
- 
=
- 
= 
=
( cancel sinA on numerator/ denominator )
= 
= tanA = right side ⇒ proven
Answer: Segment GD is parallel to segment HC.
Step-by-step explanation:
In ΔAHC
AG=GH (given)...........1
As BD is the median of ΔABC bisecting AC at D
∴AD=DC.........2
⇒
(from 1 and 2)
⇒segment GD is dividing the sides AH and AC in same ratio.
Therefore by the converse of Basic proportionality theorem,segment GD is parallel to segment HC.
Converse of basic probability theorem states that if a line divides any two sides of a triangle in the same ratio, then the line must be parallel to the third side.
Answer: 153 trays
Step-by-step explanation:
hotdogs =153
Hamburger = 171
Mike is to put the same number of hamburger and hotdogs in each plate.
we assume that a whole number of each food is placed in each tray.
The maximum amount of trays will be determined by the minimum food which is hotdog, so, the hotdog is the constraint.
Mike will have to use 153 trays.