ie +5= 20 are shown below. The first and second steps to solve the equation 5 +55= 20-5 5 5 = 15 Which property was applied in the second step? O Addition Property of Equality O Subtraction Property of Equality Multiplication Property of Equality O Division Property of Equality

x+8=10

x−4=22

x÷3=6

7x=28

Step-by-step explanation:

George has cut down a 60ft high oak tree. He now wants to chop it into smaller pieces. He first cuts it into two pieces that are both 30ft. And then he continues on into making ten pieces that all are 6ft long before loading them onto his truck.

picture08

By looking at the different pieces of wood we can see that the following holds true.

60=30+30=6+6+6+6+6+6+6+6+6+6

This is called the reflexive property of equality and tells us that any quantity is equal to itself

a=a

We can also use this example with the pieces of wood to explain the symmetric property of equality. This property states that if quantity a equals quantity b, then b equals a.

ifa=b,thenb=a

Or if we use our example

if60=30+30,then30+30=60

Another property that can be explained by this is the transitive property of equality. It tells us that if a quantity a equals quantity b, and b equals the quantity, c, then a and c are equal as well.

ifa=bandb=c,thena=c

Or in the numbers taken from the oak tree example

if60=30+30

and30+30=6+6+6+6+6+6+6+6+6+6

then60=6+6+6+6+6+6+6+6+6+6

Since we know that 30 + 30 = 20 + 40 and that 30 + 30 = 60 we can substitute 30 + 30 for 20 + 40 and get 60 = 20 + 40. This is called the substitution property of equality.

If a = b, then a can be substituted for b in any expression.George has cut down a 60ft high oak tree. He now wants to chop it into smaller pieces. He first cuts it into two pieces that are both 30ft. And then he continues on into making ten pieces that all are 6ft long before loading them onto his truck.

picture08

By looking at the different pieces of wood we can see that the following holds true.

60=30+30=6+6+6+6+6+6+6+6+6+6

This is called the reflexive property of equality and tells us that any quantity is equal to itself

a=a

We can also use this example with the pieces of wood to explain the symmetric property of equality. This property states that if quantity a equals quantity b, then b equals a.

ifa=b,thenb=a

Or if we use our example

if60=30+30,then30+30=60

Another property that can be explained by this is the transitive property of equality. It tells us that if a quantity a equals quantity b, and b equals the quantity, c, then a and c are equal as well.

ifa=bandb=c,thena=c

Or in the numbers taken from the oak tree example

if60=30+30

and30+30=6+6+6+6+6+6+6+6+6+6

then60=6+6+6+6+6+6+6+6+6+6

Since we know that 30 + 30 = 20 + 40 and that 30 + 30 = 60 we can substitute 30 + 30 for 20 + 40 and get 60 = 20 + 40. This is called the substitution property of equality.

If a = b, then a can be substituted for b in any expression.

answer: slight chance that it will happen

step-by-step explanation:

when rotating a figure 180 degrees, imagine that you are able to take the figure and turn it clockwise or counterclockwise around a center point. to rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y). start by using a coordinate grid with coordinates for each vertex of the figure. the center point of the coordinate grid is located at (0, 0), which is what you will rotate the figure around. write down the original coordinates of the shape you are going to rotate. then, apply the rule. for example, coordinate (1, 2) becomes (-1, -2). another example would be, coordinate (-4, -2) becoming (4, 2). after you change each original coordinate to the rotated coordinate, you will draw your new figure.

step-by-step explanation: