This is a a reflective property because it is an if then statement.
Step-by-step explanation:
x² + 4x − 4 = 8
x² + 4x − 12 = 0
(x + 6) (x − 2) = 0
x = -6 or x = 2
So a triangle is always 180°.
If one angle is 90° then we can subtract that from the 180° to find out how much the other two will be.
180°-90°=90°
So the other two angles added together will have to equal 90°.
Answer:
- <u>They can catch up with the bus at 10:40 am.</u>
Explanation:
1. Set the time when Liana and her mother can leave (8:40 am) as t₀ = 0; thus the time of driving for them will be t.
2. The average speed at whic Liana's mother drive: 60 miles/hour
3. Thus, the distance they will have driven will be:
- distance = average speed × time = 60t
4. The time the bus left was 8:00 am, which is 40 minutes before Liana and her mom can leave.
Thus, the time wil have driven when Liana and her mom have driven t hours minutes will be: t + 40 min / 60 min/ hour = t + 2/3
5. The average speed of teh bus is 45 miles / hour
6. The distance the bus will have driven will be:
- distance = average speed × time = 45(t + 2/3)
7. When Liana and her mother catch up with the bus, the distances driven by both of them are equal:
Thus, Liana and her mom can catch up with the bus after 2 hours, since 8:40 am; this is, 10:40 am.
