Given: lines l and m are parallel, and line t is a transversal.
angle pair result/justification
1 and 2 are equal (vertical angles)
6 and 8 are equal (corresponding angles)
1 and 4 are equal (alternate exterior angles)
4 and 8 are supplementary angles (i.e. add up to 180 degrees, a straight angle)
Note:
alternate angles are on opposite sides of the transversal, and each attached to a different (parallel) line.
If they are both enclosed by the parallel lines, they are alternate interior angles (examples: angles 2 and 3, 6 and 7)
If they are both outside of the two parallel lines, they are alternate exterior angles (examples: angles 1 and 4, 5 and 8)
30. Because 5 times 3 is 15 and 15 times 2 is 30.
Answer:
k ≈ 0.1733
Step-by-step explanation:
Using the numbers given, we find the multiplier of the population is 800/200 = 4 in 8 hours. This means the equation of growth can be written ...
y = 200(4^(t/8))
When this is written in the form ...
y = 200·e^(kt)
We can compare the two equations to see that ...
4^(1/8) = e^k
Taking natural logarithms, we have ...
1/8·ln(4) = k ≈ 0.1733
The growth rate k is approximately 0.1733.
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<em>Additional comment</em>
The comparison we were looking for was (4^(1/8))^t = (e^k)^t. Instead of "comparing" the equations, you could set them equal and solve for k.
200(4^(t/8)) = 200e^(kt)
4^(t/8) = e^(kt) . . . divide by 200
t/8·ln(4) = kt·ln(e) . . . . take natural logs
1/8·ln(4) = k . . . . . . use ln(e) = 1 and divide by t
Answer:
C. 7.2 F is warmer than 7.0 F but colder than 7.6 F.
Step-by-step explanation:
7.2 is larger than 7.0 but less than 7.6
hope this helps :)
Answer:
B (2,6,10,14)
Step-by-step explanation:
I think C and D are imposible to be the answer.
A and B are 50% to be the answer.
But I choose B.
