True. The midsegment of a triangle is halfway up the triangle, and since the top half and the full triangle are similar triangles, its dimensions are proportional.
This means half the height will give half the base (midsegment). So the midsegment is always half the length of the side it's parallel to.
Answer:
a flexible but inelastic cord of strong fibrous collagen tissue attaching a muscle to a bone.
the hamstring of a quadruped.
Step-by-step explanation:
Let the speed of river be x km/hr down stream.
Time = Distance / speed
Since river flows downstream, speed of boat down stream = Speed of boat + speed of river = (15 + x).
Since river flows downstream, speed of boat upstream = Speed of boat - speed of river = (15 - x).
Time Upstream - Time Downstream = 75 minutes
Time Upstream = 45 / (15 - x)
Time Downstream = 45 / (15 + x)
75 minutes = 75/60 = 5/4 hours
Time Upstream - Time Downstream = 75 minutes = 5/4 hours
45 / (15 - x) - 45 / (15 + x) = 5/4 Divide both sides by 45
1 / (15 - x) - 1 / (15 + x) = (5/4)*(1/45)
1 / (15 - x) - 1 / (15 + x) = 1/36
((15 + x) - (15 -x)) / (15-x)(15+x) = 1/36
(15 +x - 15 +x) / (15-x)(15+x) = 1/36
2x / (15-x)(15+x) = 1/36
(15-x)(15+x) = 2x*36
(15-x)(15+x) = 72x
225 - x² = 72x
0 = x² + 72x -225
x² + 72x -225 = 0 This is a
quadratic function, use a calculator that can solve the function, by
inputting the function.
x = 3, or -75. Since we are solving for speed, we can not have negative values.
x = 3 is the only valid solution.
Speed of the river = 3 km/hr downstream.
Copyright.
-1/2(-3/2x + 6x + 1) - 3
Simplify.
(3/4x - 3x - 1/2) - 3
Get rid of the parenthesis.
3/4x - 3x - 1/2 - 3
Add like terms.
(3/4x - 3x) + (-1/2 - 3)
Simplify.
-2 1/4x + (-3 1/2)
Get rid of the parenthesis.
-2 1/4x - 3 1/2
Hope I helped! :)
