The answer x = 7 is false here is why.
This further simplifies to solution,
Hope this helps.
r3t40
<h3>
Answer: 144 Joules </h3>
Steps Shown:
Work = Force * Displacement
Work = (36 Newtons)*(4 meters)
Work = (36*4) Newton meters
Work = 144 Newton meters
Work = 144 Joules
Note: The displacement must point in the same direction as the force applied.
C) The 2 triangles are similar , then we can write:
5x/45 = 20/36 . Cross multiplication:
5x*36 = 45*20
180x = 900 and x = 900/180 , x = 5 (and 5x = 25)
d) Remember the proportionality theorem (or Thales')
You can write the following proportion:
GH/HJ = KL/LM
8/6 = 10/x . Cross multiplication:
8x = 60 and x = 60/8 , x = 7.5
The term "closed" in math means that if you take two items from a set, do some operation, then you'll always get another value in the same set (sometimes you may get the same value as used before). For example, adding two whole numbers leads to another whole number. We therefore say "the set of whole numbers is closed under addition". This applies to integers as well because integers are positive and negative whole numbers. So we can say that integers are closed under addition.
Integers are not closed under division. Take two integers like 2 an 5 and divide: 2/5 = 0.4 which is not an integer. Integers don't have decimal parts.
The set of whole numbers is {0,1,2,3,...} and we can subtract the two values 1 and 2 to get 1-2 = -1. The order matters here. Subtracting a larger value from a smaller leads to a negative. The value -1 is not in the set of whole numbers. So we can say that whole numbers is not closed under subtraction
Finally, the set of irrational numbers is closed under addition. Adding any two irrational numbers leads to another irrational number. For instance, pi+sqrt(2) = 3.142 + 1.414 = 4.556; I'm using rounded decimals as approximate values. An irrational number is one where we cannot write it as a fraction of integers. Contrast that with a rational number in which we can write it as a fraction of integers. Example: 10 = 10/1 is a rational number.
Answer:
Answers: 46, 23, and 111
Step-by-step explanation:
To answer, we need to know the angles. Therefore, give each angle a name. Angle 1 will be x, 2 will be y, 3 will be z. So, using this system of equations:
x=2y
z=y+88
x+y+z=180
Substituting, z = 1/2(x)+88, now plug z into the third equation:
x+1/2(x)+1/2(x)+88=180
this simplifies to 2x+88=180
subtracting 88 from both sides leaves 2x=92
x=46
plug this in to the first equation: 46 = 2y, so y = 23
plug this into the third one leaves z = 111
Hope this helps!
