Can someone please define the following terms and give me an example of each??

1 answer:

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The distributed property is one of the most frequently used properties in math. In general, this term refers to the distribution property of multiplication. The distributive property lets you multiply a sum by multiplying each addend separately and then add the products.
Constant is something continuously occurring over a period of time.
Coefficient is a numerical or constant quantity placed before and multiplying the variable in an algebraic expression.
Term is either a single number or variable, or numbers and variable multiplied together. Terms are separated by + or - signs.
Identity Property of Municipality states that any time you multiply a number by 1, the results, or product, is that original number.
Identity Property if Addition is always zero.
Like terms are terms whose variables are the same. In other words, terms that are "like"
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Sindrei [870]

Answer:

$x=16\dfrac{28}{37}\\ \\y=5\dfrac{1}{3}\\ \\z=7.5$

Step-by-step explanation:

The diagram shows three paralel lines which divide the large triangle into three similar triangles.

By Thales theorem,

$\dfrac{5}{z}=\dfrac{y}{8}=\dfrac{2}{3}$

Then

$\dfrac{5}{z}=\dfrac{2}{3}\Rightarrow 2z=15,\ z=7.5\\ \\\dfrac{y}{8}=\dfrac{2}{3}\Rightarrow 3y=16,\ y=\dfrac{16}{3}=5\dfrac{1}{3}$

From the similarity of triangles,

$\dfrac{x}{20}=\dfrac{z+8}{z+8+3}\\ \\\dfrac{x}{20}=\dfrac{7.5+8}{7.5+8+3}\\ \\\dfrac{x}{20}=\dfrac{15.5}{18.5}\\ \\x=20\cdot \dfrac{155}{185}=20\cdot \dfrac{31}{37}=\dfrac{620}{37}=16\dfrac{28}{37}$