1.
Lines a and b are parallel lines.
Line t is a transversal.
Corresponding angles are congruent.
Angle 1 is a corresponding angle to the 107-deg angle, so m<1 = 107.
Angles 1 and 2 are supplementary angles since they are a linear pair.
m<1 + m<2 = 180
m<2 = 180 - 107
m<2 = 73
2.
Lines a and b are parallel lines.
Line t is a transversal.
Corresponding angles are congruent.
Angle 3 is a corresponding angle to the 95-deg angle, so m<3 = 95.
Angles 3 and 4 are supplementary angles since they are a linear pair.
m<3 + m<4 = 180
95 + m<4 = 180
m<4 = 180 - 95
m<4 = 85
3.
Lines a and b are parallel lines.
Line t is a transversal.
Corresponding angles are congruent.
Angle 5 is a corresponding angle to the 49-deg angle, so m<5 = 49.
Angles 5 and 6 are supplementary angles since they are a linear pair.
m<5 + m<6 = 180
49 + m<6 = 180
m<6 = 180 - 49
m<6 = 131
Answer:
3001
Step-by-step explanation:
Let's say in general you want "n" adjacent squares. Each one needs a top, so that's n toothpicks. Each one needs a bottom, so that's another n toothpicks, and we're up to 2n total. You need one on the far left, and one on the far right, which brings us up to 2n + 2 toothpicks. Now we need to worry about the middle ones. But notice that you don't need n toothpicks for the interior because adjacent squares share. It turns out that you only need n-1. That brings us up to a grand total of 3n + 1 toothpicks, which would be 3001 for n = 1000.
Hope this helped!
The second derivative at the point (2,2) is 34/9
<u>Explanation:</u>
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2x⁴ = 4y³
2x⁴ - 4y³ = 0
We first need to find dy/dx and then d²y/dx²
On differentiating the equation in terms of x
dy/dx = d(2x⁴ - 4y³) / dx
We get,
dy/dx = 2x³/3y²
On differentiating dy/dx we get,
d²y/dx² = 2x²/y² + 8x⁶/9y⁵
d²y/dx² = 34/9
Therefore, the second derivative at the point (2,2) is 34/9
A: 40
Let’s do this problem backwards.
TOTAL BOOKS RN: 36
1)
“Jill... then bought 16 more...”
36 - 16 = 20
After subtracting that amount, we would end up with half of the books Jill DID NOT sell.
2)
2 • 20 = 40
At this point, we multiplied amount of books she had after she sold half of her comic books by the reciprocal of 1/2
And now you have your answer!
Answer:
Bookkeeping is the activities concerned with the systematic recording and classification of financial data of an organization in an orderly manner. ... It also involves preparing source documents for the financial transactions and other business operations being carried out.
