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What is the side splitter theorem?

A triangle is made up of three lines: AD, AE and DE. If a line that is parallel to line DE cuts through lines AD and AE, it will create a point on line AD labeled B and a point on line AE labeled C. According to the side splitter theorem, AC is proportional to CE as AB is proportional to BD. This also means AC multiplied by BD is the equivalent to CE multiplied by AB.\nA corollary of the side splitter theorem states that if three parallel lines intersect with two transversals, then the intercepted segments of the transversals are proportional. A transversal is a line that intersects with at le..

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How do you write 2009 in Roman numerals?

In the notation MMIX, the two Ms indicate the year 2000. The notation IX represents the number nine. When added together, these notations result in the year 2009. The year 2010 is represented by the Roman numerals MMX, and the year 1909 is represented by the Roman numeral MCMIX. In Roman numerals, when a smaller number is written in front of a larger number, the smaller number is subtracted from the larger number.

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What is a linear relationship in math?

A linear relationship with a slope of 1 and that begins at the origin of the graph is a direct proportion. This indicates that a change of one unit on the X axis of the graph results in a change of one unit on the Y axis. However, as shown by the formula for a linear relationship, the slope is not limited to 1. In addition, all graphs do not begin at the origin. In linear relationships with a negative slope, the y value decreases as the x value increases.\nScience uses graphs to represent data sets. While there is a possibility for individual data points, collected from an experiment, to vary ..

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What is the lowest common multiple of 24 and 40?

The lowest common multiple between two numbers refers to the smallest number that is multiple of both numbers. A multiple of a base number is any number that is a result of multiplying that base number by an integer. To determine the lowest common multiple, list out multiples for each number until a common multiple is identified. For 24, the first five multiples are 24, 48, 72, 96 and 120, and the first three multiples of 40 are 40, 80 and 120. The first common multiple is 120.

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How many lines of symmetry does a rectangle have?

Rectangles are examples of quadrilaterals or geometric figures with four sides. Squares have the greatest number of lines of symmetry among the quadrilaterals and can be divided in half horizontally, vertically and diagonally. Rectangles lack diagonal symmetry, and trapezoids lack both diagonal and horizontal symmetry. Parallelograms other than trapezoids without any right angles do not have any lines of symmetry.

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What is the procedure for solving equations graphically?

The graphical method of solving equations finds the point at which the lines y = f(x) and y = 0 intersect, which is the point at which f(x) = 0. If the line y = f(x) never crosses the x-axis, then the equation f(x) = 0 has no solution.\nThe limitation of graphical solutions is that only equations with one or two independent variables can be solved with this method. An equation with one variable leads to a two-dimensional plot; an equation with two variables leads to a three-dimensional plot. Plots with four or more dimensions are difficult to visualize accurately. It is also possible to solve ..

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How can you calculate weighted percentages?

As an example, a teacher might inform his or her students that the year's grade will be based on tests that will be worth 50 percent of the grade, quizzes that will count for 30 percent and homework assignments that will count for the remaining 20 percent of the grade. If a student had a 95 percent average on the tests, a 90 percent average on the quizzes and a 100 percent average on the homework assignments, the weighted percentage would be calculated as follows: "(95 x 0.5) + (90 x .3) + (100 x .2) = 47.5 + 27 + 20 = 94.5". The final grade for the student would be 94.5 percent .

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Solve for y in terms of x?

Put the y variable on the left side of the equation, and the x variable on the rightWith the example 8 + 5x = 9 - 4y, place the y variable on the left side and the x variable on the opposite side. To do so, first add 4y to each side of the equation. It is important to do the same operation on each side to keep the equation equal. Next, subtract 5x from each side. The equation that is left is 4y + 8 = 9 - 5x.Remove the constants from the left sideTo solve for y in terms of x, the y variable must be alone on the left side of the equation. In the sample problem, subtract 8 from each side. The equ..

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What do you use to measure length?

There are generally two systems used in measurements, the standard and metric unit systems. In the standard unit system, one foot is equal to 12 inches. Another common conversion of length measurement is that one yard equals three feet, which also equals 36 inches. In the metric system, the meter is the basis of the length measurement system. Everything is based upon the meter; for example, one centimeter equals 10 millimeters.

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What is the difference between LCD and LCM?

For instance, the LCM of 28 and 42 is 84. To find this, both products are broken down into prime factors. The factors for 28 are 2^2 and seven. Denoting 2^2 means two is used twice, so two times two is four, and then four times seven is 28. For 42, the prime factors are two, three and seven. To find the least common multiple, the highest power of each numeral is multiplied together, which is 2^2 times three times seven, or 84.\nFor the LCD, consider the fractions 7/42 and 5/28. Both 42 and 28 must be broken into their prime factors. Forty-two is two times three times seven. Twenty-eight is 2^2..

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