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Leya [2.2K]
4 years ago
7

The triangles below are similar. Find x showing the proportion and all work.

Mathematics
1 answer:
zavuch27 [327]4 years ago
7 0

we are given that

two triangles are similar

so, the  ratio of their sides must be same

we get

\frac{2}{6} =\frac{x}{x+2}

now, we can solve for x

step-1: Cross multiply both sides

2(x+2) =6x

step-2: Simplify left side

2x +4 =6x

step-3: Subtract both sides by 2x

2x +4-2x =6x-2x

4 =4x

step-4: Divide both sides by 4

x=1

so,

x=1............Answer

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A piggy bank is full of dimes and quarters. The total
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She has  27 quarters and 73 dimes.

Write a system of equations.

Let x be the number of quarters, and y be the number of dimes.

x+y=100

0.25x+0.10y=14.05

Solve by substitution:y=100−x

∴0.25x + 0.10(100 - x) = 14.05

0.25x+10−0.10x=14.05

0.15x+10=14.05

0.15x=4.05

x=27

Solve for y now:

y+27=100

y=100−27

y=73

Hence, She has 27 quarters and 73 dimes.

A mathematical equation is a formula that uses the equals sign to represent the equality of two expressions. The meanings of the word equation and its cognates in various languages can vary slightly. For instance, in French, an equation is defined as having one or more variables, whereas, in English, an equation is any well-formed formula that consists of two expressions linked by the equals sign.

Finding the values of the variables that cause the equality to hold true is the first step in solving an equation with variables. The unknown variables are also known as the variables for which the equation must be solved, and the unknown variable values that fulfill the equality are known as the equation's solutions. Equations come in two varieties: identities and conditional equations.

To learn more about account form the given link:

brainly.com/question/10413253

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3 0
1 year ago
Which of the following represents an arithmetic sequence?
kicyunya [14]

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Step-by-step explanation:

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3 years ago
What is 12-9×3×4+3 in three different ways
Maurinko [17]
1. 12-9×3×4+3=-93
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How do you get statistics from percentages
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Divide the target demographic by the entire population, and then multiply the result by 100 to convert it to a percentage.  

Step-by-step explanation:

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4 years ago
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valentina_108 [34]

Answer:

no, they are equal. we know this because when reducing both they are equal.

Step-by-step explanation:

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that's 3

reduce fractions until the denominator is both 3

we get 2/3 and 2/3. the proportions are equal.

8 0
3 years ago
Read 2 more answers
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