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3 years ago

Find the value of x for which ABCD must be a parallelogram. Express your answer as a decimal.

Mathematics

2 answers:

Pie3 years ago

8 0

2x+7=12x-6
7=10x-6
13=10x
13/10=x

solmaris [256]3 years ago

6 0

Answer:

X= 1.3

Step-by-step explanation:

If you need this to be a parallelogram, you need to found two pairs of parallel sides to be the same length.

The AB side has to be the same as the CD side.

So, to find x, you need to equal the two equations given, because both sides have to be the same.

$2x+7=12x-6$

To find x first put all X terms to one side of the equal and no X terms to the other side.

$7+6=12x-2x$

And you resolve

$13=10x\\13/10=x\\1.3=x$

So, to have a parallelogram, the value of X is 1.3

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zmey [24]

Answer:

Percent Proportion

A percent proportion is an equation where a percentage (%) of the whole is equal to the part of the whole or we can say it is an equation where a percent is equal to an equivalent ratio.

What is Percent Proportion?

When the ratio of part to whole is equal to the ratio of a percent to 100, shows a percent equal to an equivalent ratio, we call it a percent proportion. A percentage is a fraction expressed with 100 as the denominator. When two ratios are equal, they are said to be in proportion. Proportions are denoted by using the symbols "=" or "::". For example, 1/5 :: 20/ 100, and the given proportion is read as "1 is to 5 equals to 20 is to 100".

Percentage in the Form of a Fraction Shows Proportion

Following are the given examples that show how the percentage is converted into fractions and shows the proportion.

25% means 25 parts out of 100 and 25/100 = 1/4 of the total parts (whole). So, the given proportion is read as "25 is to 100 equals to 1 is to 4".

40% means 40 parts out of 100 and 40/100 = 2/5 of the total parts (whole). So, the given proportion is read as "40 is to 100 equals to 2 is to 5".

75% means 75 parts out of 100 and 75/100 = 3/4 of the total parts (whole). So, the given proportion is read as "75 is to 100 equals to 3 is to 4".

Percent Proportion Formula

The percent proportion formula helps in solving problems. It is expressed in form of PART/WHOLE = PERCENT/100, where,

PERCENT is the number with a percent sign.

PART is the number with the word IS.

WHOLE is the number with the word OF.

For example, 30 is what percent of 60? Here IS and OF are used in question where IS is PART and OF is WHOLE. Now with the help of formula, Part/Whole = Percent/100 ⇒ 30 / 60 = Percent /100 ⇒ Percent = (30 / 60) × 100 = 50%

Taking another example, What number is 10 % of 50?

Part/Whole = Percent/100 ⇒ Part/50 = 10/100 ⇒ Part = 5. Therefore, 10% of 50 is 5.

Percent proportion