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3 years ago

15

How do you determine if polygons are similar?

1 answer:

Vikentia [17]3 years ago

8 0

Answer:

a) corresponding angles of similar polygons are congruent

b) corresponding sides of similar polygons are proportional

c) a triangle is a polygon

Step-by-step explanation:

By <em>definition</em>, similar polygons have congruent corresponding angles and proportional corresponding sides.

A triangle is a polygon, so two triangles will be similar if they have congruent corresponding angles and proportional corresponding sides.

___

For an n-sided polygon, one only needs to show the conditions are met for n-1 angles and sides. Those will determine the measures of the final angle/side.

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In a quadrilateral ABCD, AB || DC and AD || BC. Find the perimeter of triangle COD if the diagonals of the quadrilateral interse

aalyn [17]

Draw a diagram as shown below.

The diagonals are equal in length. Because AB || DC and AD || BC, the quadrilateral is a square.

Because the diagonals bisect each other at O, therefore
DO = BO = 10.
Likewise,
AO = CO = 10

Because AB = 13, therefore DC = 13.
The perimeter of ΔCOD is CO + CD + DO = 10 + 13 + 10 = 33 in

Answer: 33 in

4 0

4 years ago

Which equations have the same value of x as Three-fifths (30 x minus 15) = 72? Select three options.

Anon25 [30]

An equation is formed of two equal expressions. The correct options are C, D, and E.

<h3>What is an equation?</h3>

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The value of x in the given equation is,

$\dfrac35 (30x-15) = 72\\\\(6x - 3) = 72\\\\6x -3 = \dfrac{72}3\\\\6x = 24 + 3\\\\x = 4.5$

Substitute the value of x in other option to check if the equations are equal are not. Therefore, the options can be written as,

A.) 18x - 15 = 72

18(4.5) - 15 = 66

Thus, this will not return the same value.

B.) 50x - 25 = 72

50(4.5) - 25 = 200

Thus, this will not return the same value.

C.) 18x - 9 = 72

18(4.5) - 9 = 72

Thus, this will return the same value.

D.) 3(6x - 3) = 72

3[6(4.5) - 3] = 72

Thus, this will return the same value.

E.) x = 4.5

Thus, this will return the same value.

Hence, the correct options are C, D, and E.

Learn more about Equation:

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2 years ago

What is the mean of this data set? 74, 81, 77, 88 *

Yanka [14]

Answer is 160

explanation: add all of them up and divid by how many numbers are in the data set
74+81+77+88=320
then divid 320 by 4 =160

4 0

3 years ago

A rectangular napkin has an area of 88 square centimeters and a length of 8 centimeters.

Svetllana [295]

11 centimeters
This is because a rectangle has an area of length times width and so you can divide 88 by 8 to get 11

3 0

3 years ago

Read 2 more answers

Linear Equations. Solve the equation 5 = 3y +6 using inverse operations.

agasfer [191]

Answer:

The value of $y=\frac{-1}{3}$ .

Step-by-step explanation:

Considering the equation

$5 = 3y +6$

To solve the equation $5 = 3y +6$ using inverse operations,

Subtracting 6 on both sides of the equation,

$5-6 = 3y +6-6$

Simplifying,

$-1 = 3y$

Dividing both sides by 3

$\frac{-1}{3} =\frac{3y}{3}$

$\frac{-1}{3} =y$

Switching both sides

$y=\frac{-1}{3}$

Therefore, the value of $y=\frac{-1}{3}$ .

Keywords: equation, inverse operations

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4 0

3 years ago