Answer:
Given: Consider a triangle ABC in which AD is median drawn from vertex A.
To prove: AB + AC > AD
Proof: In Δ A B D
AB + B D> AD ⇒[In a triangle sum of lengths of two sides is greater than the third side] .................(1)
In Δ A CD
AC + DC > AD [In a triangle sum of lengths of two sides is greater than the third side] .................(2)
Adding (1) and (2)
AB + AC+ B D + D C > B D + DC
A B+ A C+ B C > 2 B D .................(3)
Also , Considering Δ AB C
AB + B C > B C ⇒[In a triangle sum of lengths of two sides is greater than the third side]
⇒ AB + B C - B C >0 ........................(4)
Adding (3) and (4)
A B+ B C+B C+ AB +A C- B C > 2 A D
⇒2 AB + 2 A C> 2 A D
Dividing both side of inequality by 2, we get
A B+ A C> A D
Hence proved.
Answer:
The position of David Beckham is at (2,0) and the position of the garbage can is (38,0). Note that these two points would be the roots of the parabola we are going to draw.
Now since we have the roots, we can construct the equation of the parabola as

where a is a constant.
We choose a = 0.05 and get
Answer:
7.57 cm
Step-by-step explanation:
Volume of a cylinder = πr²h
π = 3.14
r= radius
h = height
1,800 = 3.14 x r² x 40
r² = 1800 /(3.14 x 40)
r² = 14.33121
√14.33121 = r
r = 3.785658 cm
the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.
A radius is half of the diameter
Diameter = 2 x 3.785658 cm = 7.57cm
<h3>
Answer: x = 16</h3>
============================================
Explanation:
On that diagram, the unmarked angle above the (6x-8) is equal to (5x+12). This is because the unmarked angle and the angle marked with (5x+12) are corresponding angles. Corresponding angles must be congruent if you want line m to be parallel to line n.
From here we add up (5x+12) and (6x-8) and set that sum equal to 180. Solve for x
We get the following:
(5x+12)+(6x-8) = 180
5x+12+6x-8 = 180
(5x+6x)+(12-8) = 180
11x+4 = 180
11x = 180-4
11x = 176
x = 176/11
x = 16
Answer:
the sea line
I am guessing
Step-by-step explanation: