Downstream DATA:
distance = 12 miles
time = 2 hours
rate = 12/2 = 6 mph
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Upstream DATA:
distance = 12 miles
time = 4 hrs
rate = 12/4 = 3 mph
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Equations:
Downstream: b + c = 6
Upstream::: b - c = 3
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Add to get:
2b = 9
b = 4.5 mph (speed of the boat in still water.)
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Solve for "c":
b + c = 6
4.5 + c = 6
c = 1.5 mph (speed of the current)
The answer is 1.5 mph
Answer:
Step-by-step explanation:
From the picture attached,
Segment AB has been divided into four equal parts.
Let each part measures equal length = 1 unit
Point C is 2 units apart from both the points A and B.
Length of AC = Length of BC = 2 units
Therefore, point C will be the mid point of segment AB.
And ratio of AC and BC = 1:1
AC:BC = 1:1
Similarly, AC:AB = 2:4
= 1:2
And BC:AB = 2:4
= 1:2
Answer:
x^2-8x+16
Step-by-step explanation:
(x-4)^2
x^2-4x-4x+16
x^2-8x+16
We are given an isosceles triangle.
An isosceles triangle has corresponding angles of corresponding sides same.
<em>Therefore, other angle is also of (3x+7) degrees.</em>
(5x+13) and (3x+7) makes a linear pair.
Therefore,
(5x+13) + (3x+7) = 180
5x +13 + 3x +7 = 180.
8x +20 = 180.
Subtracting 20 from both sides, we get
8x +20-20 = 180-20.
8x = 160
Dividing both sides by 8, we get
<h3>x = 20.</h3><h3>Therefore, correct option is 3rd option. </h3>