The incomplete portion is
Angles _____1_________ are congruent by the Alternate Interior Angles Theorem. Angles _____2_________ are congruent by the Corresponding Angles Theorem.
1) <PBC and <BAD
2) <BAT and <CDA
Angles <PBC and <BAD are congruent by the Alternate Interior Angles Theorem. Angles <BAT and <CDA are congruent by the Corresponding Angles Theorem.
<PBC and <BAD are the Alternate Interior Angles of parallel lines AD and BC and traversal is AP
<BAT and <CDA are the Alternate Interior Angles of parallel lines AB and CD and traversal is TD
Answer: the area of the trapezoid is 432 ft²
Step-by-step explanation:
The formula for determining the area of cross section of a trapezoid is expressed as
Area = 1/2(a + b)h
Where
a and b are the length of The bases are the 2 sides of the trapezoid which are parallel with one another.
h represents the height of the trapezoid.
From the information given,
a = 16 feet
b = 20 feet
h = 24 feet
Therefore,
Area of trapezoid = 1/2(16 + 20)24
= 1/2 × 36 × 24
= 432feet²
Answer:
The area of a square is S^2 where S is the length of the side.
Area = 3.1^2 = 3.1 x 3.1 = 9.61 m^2
Answer:
All of them
Step-by-step explanation:
According to the ratio test, for a series ∑aₙ:
If lim(n→∞) |aₙ₊₁ / aₙ| < 1, then ∑aₙ converges.
If lim(n→∞) |aₙ₊₁ / aₙ| > 1, then ∑aₙ diverges.
(I) aₙ = 10 / n!
lim(n→∞) |(10 / (n+1)!) / (10 / n!)|
lim(n→∞) |(10 / (n+1)!) × (n! / 10)|
lim(n→∞) |n! / (n+1)!|
lim(n→∞) |1 / (n+1)|
0 < 1
This series converges.
(II) aₙ = n / 2ⁿ
lim(n→∞) |((n+1) / 2ⁿ⁺¹) / (n / 2ⁿ)|
lim(n→∞) |((n+1) / 2ⁿ⁺¹) × (2ⁿ / n)|
lim(n→∞) |(n+1) / (2n)|
1/2 < 1
This series converges.
(III) aₙ = 1 / (2n)!
lim(n→∞) |(1 / (2(n+1))!) / (1 / (2n)!)|
lim(n→∞) |(1 / (2n+2)!) × (2n)! / 1|
lim(n→∞) |(2n)! / (2n+2)!|
lim(n→∞) |1 / ((2n+2)(2n+1))|
0 < 1
This series converges.
55 mph minus 40 mph = 15 miles distance for each hour
So 5 hours * 15 = 75 miles difference after 5 hours
