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Daniel [21]
4 years ago
15

How to prove the converse to the same side interior angles theorem

Mathematics
1 answer:
Gnom [1K]4 years ago
5 0

Answer:If two lines are cut by a transversal and the consecutive interior angles are supplementary ...

Step-by-step explanation:

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Identify the first five terms of the sequence in which a1 = 5 and an = 2an−1−3 for n ≥ 2.
ziro4ka [17]

Answer:

5, 7, 11, 19, 35

Step-by-step explanation:

Using the recursive formula and a₁ = 5 , then

a₂ = 2a₁ - 3 = (2 × 5) - 3 = 10 - 3 = 7

a₃ = 2a₂ - 3 = (2 × 7) - 3 = 14 - 3 = 11

a₄ = 2a₃ - 3 = (2 × 11) - 3 = 22 - 3 = 19

a₅ = 2a₄ - 3 = (2 × 19) - 3 = 38 - 3 = 35

Thus the first 5 terms are

5, 7, 11, 19, 35

3 0
3 years ago
Kudrey was making a box plot. He first plotted the least and greatest values. He then divided the distance into half, and then d
lidiya [134]

Step-by-step explanation:

When creating a box plot, the 3 middle values are not found by dividing the distance between the max and min values and then dividing the distances in half again. The 3 middle values are found by finding the median of the set of values, the median of the first half of values, and the median of the last half of values. For example, if the data values were 2, 3, 3, 5, 8, 8, 9, 10, 11, the median is 8, the median of the first half is 3, and the median of the last half is 9. The points to plot to make the box plot are then 2, 3, 8, 9, and 11.

3 0
3 years ago
Jack painted 5 8 part of a wall and Sam painted 7 12 part of another wall of the same size. Who painted a larger part of the wal
Alik [6]

Answer:

Jack

Step-by-step explanation:

convert the fractions to decimals to determine the person that painted the larger part of the wall

5/8 = 0.625

7/12 = 0.583

the fraction Jack painted is larger.

4 0
3 years ago
The sum of 3 consecutive integers is 294. Find the 3 integers.
TiliK225 [7]

Divide the total by 3 to get the middle value:

294 /3 = 98

Now the 3 numbers are consecutive, so use the numbers on each side of 98:

Smallest = 97

middle = 98

Largest = 99

7 0
3 years ago
A police officer seals off the scene of an accident using a roll of yellow tape that is 368 feet long. What dimensions should be
uysha [10]
The answer would be 92 by 92. Rectangular area only refers to the shape of the area. Squares are special types of rectangles.

368/4 equals 92.

I divided by 4 because a rectangle has four sides.
4 0
3 years ago
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