Answer 1:16 is the answer
Answer:
"They add up to 180 degrees, because they are a pair of supplementary angles"
Step-by-step explanation:
When parallel lines are cut by transversal, it creates vertical angles (opposite of each other) that are equal AND also supplementary angles (that are adjacent to each other and fall in one line). They add up to 180 degrees.
Looking at the figure, we see angle 1 and 2 fall in one line which is 180 degrees. Thus, angles 1 and 2 are supplementary, they add up to 180 degrees.
The correct choice is "They add up to 180 degrees, because they are a pair of supplementary angles"
Answer:
g(x) = 4x² -x +64
Step-by-step explanation:
The integral of f(x) will be continuous. This means the value must be the same for x = 4- as for x = 4+.
For some constant c1, the integral in the region x ≤ 4 is ...
∫f(x)dx = (4x² -x +c1) +C = g(x) +C
The integral in the region x ≥ 4 is given as ...
∫f(x)dx = 31x +C
Evaluated at x=4, we must get the same value from either expression:
4(4²) -4 +c1 +C = 31(4) +C
60 +c1 = 124
c1 = 64
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In order to make the integral continuous at x=4, we must have ...
g(x) = 4x² -x +64
