Answer:
m<6=77°
Step-by-step explanation:
Because the angles marked 3x+5 and 4x+7 are same side exterior angles, they are supplementary, meaning that
3x+5°+4x+7°=180°
7x+12°=180°
7x=168°
x=24°
Because the angles marked 6 and 3x+5 are corresponding angles, they are congruent, so:
<6=24*3+5
<6=77°
The two angles marked are congruent.
That is one pair of congruent angles. -------> A
Then the vertical angles are congruent.
That is a second pair of congruent angles. -------> A
Finally, we have the two sides marked congruent.
That is one pair of congruent sides. ------> S
Put together what we have above, and it gives us AAS.
Answer:
<em>Their masses are 100 kg and 90 kg</em>
Step-by-step explanation:
<u>Equations</u>
We'll solve the problem by setting only one variable. Let's call:
x = weight of the heavier boxer
Since the sum of the masses of both boxers is 190 Kg:
190 - x = mass of the lighter boxer.
It's given that 
of the mass of the heavier boxer is 10 kg less than the mass of the other, thus:
Operating:
Multiplying by 5:
Simplifying:
The heavier boxer's mass is 100 kg. The lighter boxer has a mass of 190-100 = 90 kg.
Their masses are 100 kg and 90 kg
The activation energy is the amount of energy required to initiate a certain reaction. The activation energy may considered as an "energy barrier" that has to be overcome in order for a reaction to begin. If a reaction has a lower activation energy, then it will occur more easily and at a faster rate than a reaction with a higher activation energy. Therefore, the reason that reaction 1 is faster than reaction 2 is because it has a lower activation energy than reaction 2.
