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3 years ago

Determine if the statement is true or false The figures below are similar

Mathematics

1 answer:

artcher [175]3 years ago

7 0

Answer:

True

Step-by-step explanation:

The polygons given have 5 sides, so the sum of their interior angles is (5-2) * 180 = 540. Next, there are 4 pairs of corresponding sides. Writing those sides as a, b, c, and d, for each pentagon, we can write

540 = a + b + c + d + missing angle

As is shown here, if a, b, c, and d are the same, 540 - (a+b+c+d) = missing angle is the same as well. Therefore, there are 5 corresponding angle pairs for the two polygons. Furthermore, because there are only 5 angles for each polygon, and because having all corresponding angles be equal makes polygons similar to each other, the polygons given are similar

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Select the polynomial that is a perfect square trinomial. 36x2 − 4x 16 16x2 − 8x 36 25x2 9x 4 4x2 20x 25.

Naya [18.7K]

The polynomial a,b,c,are not perfect square polynomial and the polynomial d is perfect square polynomial.

The given polynomial is

$a) 36x^2-4x+16$

What is the form of perfect square polynomial?

$(ax+b)^2$

we solve this method by using perfect square method

add and subtract 1/9

$36x^2-4x+16+\frac{1}{9}-\frac{1}{9}$

factor 36

$\frac{143}{9}+36(x^2-\frac{x}{9}+\frac{1}{324} )$

Now complete the square

$\frac{143}{9}+36(x^2-\frac{1}{18})^2$

Therefore this is not perfect square trinomial.

Similarly for

$b) 16x^2-8x+36$

Complete square is,

$16(x-\frac{1}{4})^2+35$

This polynomial is also not perfect square trinomial.

$c) 25x^2+9x+4\\$

complete square is,

$25(x+\frac{9}{50})^2+\frac{319}{100}$

This polynomial is not perfect square trinomial.

$d)4x^2+20x+25\\$

complete square is,

$(2x+5)^2$

This polynomial is perfect square trinomial.

Therefore,

The polynomial a,b,c,are not perfect square polynomial and the polynomial d is perfect square polynomial.

To learn more about perfect square trinomial visit:

brainly.com/question/1538726

3 0

2 years ago

Need help answer fast

Allushta [10]

Answer:

Option 1 *=#+5

Step-by-step explanation:

You just add 5 to the number of boys to get the number of girls

5 0

3 years ago

4. What is the value of the underlined digit?

Arisa [49]

Answer:

hundreth, because it is the second digit after the decimal point.

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3 years ago

What are the terms in the expression 7x + 4y + 1?

Sphinxa [80]

There are 3 terms : 7x , 4y, and 1.
a term is separated by any math symbol
examples are =, +, *

7 0

4 years ago

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Simplify the expression -2x2(4x − 3).

Pepsi [2]

First you have to multiply -2 and 2 which is -4x.

Then your going to distribute -4 to 4x which is -16x.

Now your going to distribute -4 and -3 which is 12.

So your simplified expression would be -16x + 12

8 0

3 years ago

Read 2 more answers