Answer:
The common difference d in the given sequence is -17
Step-by-step explanation:
We need to find the common difference d of the following sequence 9 -8 -25 -42 -59
We have a₁ = 9
and a₂ = -8
The formula used is: 
By putting values we can find the value of d
We have n=2, a₂ = -8, a₁ = 9 and we need to find d

So, the common difference d in the given sequence is -17
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Answer:
110°
Step-by-step explanation:
The consecutive interior angles theorem states that when two parallel lines are cut by a transversal, the pair of angles formed which lie inside the parallel lines on the same side of the transversal are known as consecutive interior angles. This consecutive interior angles are supplementary (that is add up to 180°).
Therefore:
∠4 and ∠6 are consecutive interior angles. Hence:
∠4 + ∠6 = 180° (sum of co-interior angles)
∠4 + 70 = 180
∠4 = 180 - 70
∠4 = 110°
Answer:
Let the height of the larger box = h
and length and width of the larger box = l and w , repectively
Now , Let find the volume of the larger box
Volume = length * width * height
So Volume of the larger box = l*w*h = lwh
Now the question says
the height of the smaller box is 80% of the height of the larger box
It means
Height of the smaller box = 80% of h = 0.80*h = 0.80h
and the other two dimensions are same so it means length and width of the smaller box = l and w
so, Volume of the smaller box = l*w*0.80h = 0.80lwh
So the Difference in the volume of the two boxes = Volume of larger box - Volume of smaller box
therefore , Difference in the Volume of two boxes = lwh - 0.80 lwh = 0.20lwh
Step-by-step explanation: