Answer:
Step-by-step explanation:
From the picture attached,
Let 'l' be the original line having one angle ∠BAC.
If the original line 'l' is shifted or translated to line 'm', angle BAC will replace the angle BDE.
Since, measure of angles are preserved in the translation,
m∠BDE = m∠BAC [corresponding angles]
Since, ∠BDE ≅ ∠MDA [Vertical angles]
Therefore, m∠MDA = m∠BAC
Hence, alternate interior angles (∠MDA) and (∠BAC) will be congruent when line 'l' is translated to line 'm'.
Answer:
60 km/h
Step-by-step explanation:
At the reduced speed, the trip takes 28 +14 = 42 minutes to drive 42 km. That's 1 km per minute, or 60 km in 60 minutes.
The reduced speed is 60 km/h.
5445 = 4500 i * 7
5445 = 31500i
i = 5445/31,500
i = 0.1729
i = 17.29%
Answer:
98450 > 2560 * (1.5)^(t/2)
Step-by-step explanation:
We are told that there are 2560 cells in the test tube. Then they tell us that every 2 minutes, the number of cells increases by 50%. At 98,450 cells, the test tube will explode. Since Louie got to the lab before the tube exploded, 98,450 is greater than. On the other side of the inequality, we get 2560 times 1.5, because it is increasing by 50%. Then we put 1.5 to the power of t/2 because it grows by 50% every two minutes. The end result is 98450 > 2560 * (1.5)^(t/2). Hope this helps.