The two labeled angles are alternate interior angles, and as such, they are the same.
From this result you can build the equation
and solve it for x: subtract 13x from both sides to get
and add 2 to both sides to get
Check: if we plug the value we found we have
So the angles are actually the same, as requested.
Answer:
A 100 lb person will weight 40 lb on Mars
Step-by-step explanation:
Given:
Weight on Mars directly varies as its weight on earth.
Let weight on Mars be =
Let weight on Earth be =
Its known that:
∝
Thus
where is constant of proportionality.
when , then
thus, we have
dividing both sides by 95.
∴
Thus when ,
would be calculated as
∴ (Answer)
∴ A 100 lb person will weight 40 lb on Mars.