It is to be remembered that a a pentagon has five sides. First, we determine each of the central angles by dividing the given sum (360°) by 5. This gives us the answer of 72°. If we let x be the congruent angles in the base and noting that the sum of the internal angles of the triangle is 180°, we have the equation,
72 + x + x = 180°
The value of x from the equation is 54°.
Answer:
X = 20
Step-by-step explanation:
when you have an angle that looks like an X shape the angles opposite each other are always equal. knowing this we now know that angle 5x must equal 100
so just make X the subject of the formula and solve, like shown bellow
Answer:
Percentage increase = 269%
Step-by-step explanation:
Price of a DVD last week = $2.87
Price of the same DVD this week = $10.59
Increase in the price of DVD between last week and this week = 10.59 - 2.87
= $7.72
Therefore, percentage increase in the price of DVD = 
= 
= 268.99
= 269%
First, multiply the first equation by 2.
That turns the first equation into:
6x - 2y = 18
That way it can easily be added to the second equation:
6x - 2y = 16
x + 2y = 5
---------------
7x = 21
==========
As you can see, the y disappeared, which was the objective of this operation.
Now the equations can be solved easily:
7x = 21
x = 3
Insert x=3 in the original equation:
3*3 - y = 8
9 - y = 8
9 = 8 + y
y = 1
So the result is:
x = 3
y = 1
In this question all required information's are already provided. Based on these details the answer to the question can be easily determined. Let us now write down all the information's that are already given.
Mass of the roller coaster = 1000 kg
Velocity of the roller coaster = 20.0 m/s
We know the formula for finding the kinetic energy is
Kinetic energy = 0.5 * mass * (velocity) ^2
= 0.5 * 1000 * (20)^2
= 0.5 * 1000 * 400
= 200000 Joules
So the Kinetic energy of the roller coaster is 200000 joules.
