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kodGreya [7K]
3 years ago
15

Use the given information and the figure to answer the question.

Mathematics
1 answer:
morpeh [17]3 years ago
5 0

Answer:

Yes, Triangles ABE and CDB are similar by AA Similarity Postulate

Step-by-step explanation:

we know that

If two triangles are similar, then its corresponding angles are congruent

In this problem

Triangles ABE and CDB are similar by AA Similarity Postulate (the three interior angles are congruent)

Because

If BE is perpendicular to AD

then

BE is parallel to DC

therefore

m<EBA=m<DCB -----> by corresponding angles

m<AEB=m<DBC=90 ----> right angles

m<EAB=m<BCD -----> the sum of the interior angles of a triangle must be equal to 180 degrees

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C! Like terms refer to the variables that are the same, rather than the coefficients (the numbers).
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Answer:

20) 2/32 so colour 2 boxes

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27) 1/32

28) 3/21 or 1/7

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30) 3/4 × 17/2

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Step-by-step explanation:

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3 years ago
f the pattern in the table is extended to represent more equivalent ratios for 2:6, which pair of numbers would be in the column
olasank [31]

The pair of numbers that would be in the columns, considering the proportional relationship, is given as follows:

20 would be in the column for 2, and 60 would be in the column for 6.

<h3>What is a proportional relationship?</h3>

A proportional relationship is a special linear function, with intercept having a value of zero, in which the output variable is obtained with the multiplication of the input variable and the constant of proportionality k, as shown as follows:

y = kx

The table is extended to represent more equivalent ratios for 2:6, hence the constant of the relationship is given as follows:

k = 6/2 = 3.

Hence the equation is:

y = 3x.

The values given by each column are given as follows:

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When x = 20, the numeric value of the relationship is of:

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Hence the first option is correct.

More can be learned about proportional relationships at brainly.com/question/10424180

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The perimeter would be (24x - 40)/(x^2 - 4x).

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Then we can do the same with the second part by multiplying by (x - 4)/(x - 4)

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