Angles part 2

When given the words, "one is twice as large as the other", you know what the first angle is by making a formula. for example, 2a=b. If it said that one is five times bigger than the other your formula would be, b+5a=a+5b. You know when to assign a variable to something when you don't know the measure of it. Corresponding angles are congruent because they are the same location just on different parallel lines. But this does not mean that they are vertical because to be vertical they have to be across from each other. Congruent means the same, vertical angles are congruent because they have the same degrees. supplementary angles are not congruent because they have different measures that can only add up to 180. Two angles cannot be supplementary and corresponding because supplementary angles have to be on a straight line right next to each other. Also two angles cant be vertical and corresponding because corresponding angles are not across from each other. The four angles that are formed around a line and a transversal equal to 360 degrees. This is always the case because that shape is a quadrilateral and every quadrilateral equals 360 degrees.

Angles part 1

                   You know when to set an equation equal to 90 or 180 degrees by looking at the angles, if the angle is a right angle its 90 degrees and the angle is a straight line, it is 180 degrees. When you set angles equal to each other it means that the two angles are vertical or congruent. If you were sovling a problem and u only solved for x, you arent correctly solving the problem because you still haven't found the measure of the angle your still missing one step. Congruent means the same and vertical angles are congruent because they are right across from each other and have the same measure. Complementary angles and supplementary angles are not congruent because they don't always have equal measures. Another type of angles that are congruent are corresponding because they are on the same location on different parallel lines.

Vertical Angles

               Congruent means to have the same measure. You know you have vertical angles when the are separated by intersecting lines and are congruent to each other. A quadrilateral is a shape that has 4 sides. and it cannot have more than 4 sides or it wouldn't be a quadrilateral. If you only had one angle in a intersecting quadrilateral you can find the other angles by first finding the vertical angle of the one you already know, which will be the same so you add those 2  together and then you take the sum and subtract it from 360 then you take that number and divide it by 2 and that will give u each of the remaining angles.

Pythagorean Theorem wrap up

   I believe that you can use the pythagorean theorem in real life to build things. For example, if your grandmother is in a wheel chair and she's living in your house, to make transportation easier for her you can build her a wheel chair ramp. A wheel chair ramp is shaped like a wedge and if you look at it from the side you can see a right triangle and also a right angle. Before you build the ramp you need to measure the height and the width or the legs. Therefore if you use the PT - a^2+b^2=c^2 to determine the hypotenuse you will be able to know how far down the ramp will go.

Laws of Exponents pt-2

           The laws of exponents means that if you have an expression with the same variable or symbol to multiply the expression you multiply the number and then add the exponents. for example, 4x^2 * 2x^2 to multiply using the laws of exponents you will multiply 4 times 2 then add the exponents which will be 2+2=4 so your answer will be 6x^4. With division instead of adding the exponents you subtract the exponents. And thats what the laws of exponents means.

Laws Of Exponents pt-1

      When you square a number it means to multiply that number by itself 3 times.Exponents relate to finding the area, if you are finding the area of a square you would need to square the number in order to find the area. For example if you have a square room and the length is 4 feet, if you square 4 that would be you area.

Integral Exponents

You cannot simplify expressions that do not have like terms you would just write the expression over, for example 2d+4f=2d+4f.x^y and xy^ are not like terms because the exponent is not in the same places.xy and xyz are not the same and you cannot combine them because they are not like terms.m^ is the same as saying m*m*m*m*m*m*m.If the base is x the negative base would be -x, A real life scenario involving exponents would be if you have to order t-shirts for 5 classes of 15 students instead of adding 15+15+15+15+15 u only have to think 15^.

Unlike Terms

     Yes x is different from x^ because x doesn't have an exponent.You can combine terms that have the same exponent because they are like terms and u can only combine like terms.1 strategy that you can use to be able to add and subtract integers is to use a number line. Yes 8m-2m is the same as 8m+-2m if you use KFC to solve it.Coefficient are the numbers that go in front of the variable they are important because without them there would be no way to solve an expression.

Like Terms

A like term is an expression that uses the same variables.100p and 300p are like terms and u can combine them into 400p. Another example is p and p^ they are not like terms because the second variable is raised to the second power and u cannot combine these two.Also you cant combine 2d+2f because they are not like terms.An expression can not have an equal sign because an equation uses an equal sign.

Moving Variables

You can move one variable form to the other side of the equal sign by using the inverse operation , which means that if u have an equation like, 7c+9=2c+9, you will have to add 2c to the 7c and then u add 9+9 and that will give u 9c=18.If you have a problem like 16j=12-4j you would add the 4j to the 16j because the inverse operation of subtraction is addition, also they are both like terms.The relation ship between subtraction an addition is that you can use one to check for the other one.The phrase, "what we do to one side we must do to the other" relates to a balance scale because if you apply that rule to an equation you will be able to balance out the variables and the number.