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Answer:
d. m<ABD = 50°, m<GBC = 47°, m<EBC = 50°, and m<DBG = 83°
Step-by-step explanation:
m<ABF = 47° (given)
m<FBE = 83°
✍️m<ABD + m<ABF + m<FBE = 180° (angles on straight line)
m<ABD + 47° + 83° = 180° (substitution)
m<ABD + 130° = 180°
Subtract 130 from each side
m<ABD = 180° - 130°
✅m<ABD = 50°
✍️m<GBC = m<ABF (vertical angles)
✅m<GBC = 47° (Substitution)
✍️m<EBC = m<ABD (Vertical angles)
✅m<EBC = 50° (substitution)
✍️m<DBG = m<FBE (vertical angles)
✅m<DBG = 83° (Substitution)
For this case, the first thing we must do is take into account the definition of the axes:
the x axis is time in seconds
the y axis is velocity in meters per secon
Then, we look for the cut point with the y axis, which is given by:
(0, 2)
This means that the initial speed is 2 m / s.
We now look for the cut point with the x axis, which is given by:
(8, 0)
This means that the speed is 0 m / s, so the runner stopped when the time is 8 seconds.
Answer:
The initial velocity of the runner was 2 m / s, and the runner stopped after 8 seconds.
The definition of a coefficient is the number BEFORE the variable. So in 76x^2, the coefficient is 76.<span>
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