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zhannawk [14.2K]
4 years ago
14

Which pairs of polygons are similar? Select each correct answer.

Mathematics
2 answers:
padilas [110]4 years ago
8 0
What was the answer please help me
kvasek [131]4 years ago
5 0

Answer: The first and fourth pair of polygons are similar.


Step-by-step explanation:

If two polygons are similar then their corresponding sides are proportional.

Let's check

  • In the first pair there are two rectangles and their dimensions are proportional as

\frac{22}{13.75}=\frac{16}{10}=1.6

  • In the second pair there are right triangles but their dimensions are not proportional as

\frac{18}{8}=2.25 and \frac{30}{17}=1.76

  • In the third pair there is one isosceles triangle and other is equilateral triangle, which can not be similar as they have different type of triangles.
  • In the fourth pair there are two right trapezoid and their dimensions are proportional as

\frac{7.5}{3}=\frac{30}{12}=\frac{12.5}{5}=\frac{20}{8}=2.5

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Can someone please help me with this geometry homework?
Leno4ka [110]

The distances between the two points, in units, are given as follows:

7. \sqrt{2}

8. 2\sqrt{17}

9. 3\sqrt{2}

10. 3\sqrt{5}

The midpoints are given as follows:

11. (7,-4.5).

12. (2,4).

13. (7,0.5).

14. (5.5,-1.5).

<h3>What is the distance between two points?</h3>

Suppose that we have two points, (x_1,y_1) and (x_2,y_2). The distance between them is given by:

D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

For item 7, the points are (-3,-2) and (-4,-3), hence the distance is:

D = \sqrt{(-4 + 3)^2 + (-3 + 2)^2} = \sqrt{2}

For item 8, the points are (-3,1) and (5,3), hence the distance is:

D = \sqrt{(5 + 3)^2 + (3 - 1)^2} = \sqrt{68} = 2\sqrt{17}

For item 9, the points are (-3,0) and (0,-3), hence the distance is:

D = \sqrt{(0 + 3)^2 + (-3 - 0)^2} = \sqrt{18} = 3\sqrt{2}

For item 10, the points are (1,-2) and (4,4), hence the distance is:

D = \sqrt{(4 - 1)^2 + (4 + 2)^2} = \sqrt{45} = 3\sqrt{5}

<h3>What is the midpoint concept?</h3>

The midpoint between two points is the halfway point between them, and is found using the mean of the coordinates.

Hence, for item 11, the midpoint is given by:

[0.5(9 + 5), 0.5(1-10)] = (7,-4.5).

For item 12, the midpoint is given by:

[0.5(-5 + 9), 0.5(7 + 1)] = (2,4).

For item 13, the midpoint is given by:

[0.5(9 + 5), 0.5(9 - 8)] = (7,0.5).

For item 14, the midpoint is given by:

[0.5(10 + 1), 0.5(4 - 7)] = (5.5,-1.5).

More can be learned about the distance between two points at brainly.com/question/18345417

#SPJ1

8 0
2 years ago
Find the equivalent ratio for 32:__=12:24
Igoryamba
   
32 : 64 = 12 : 24

or


\displaystyle\\&#10; \frac{32}{\bf64} = \frac{12}{24}



6 0
3 years ago
Read 2 more answers
What is the exponent in the expression?
vlabodo [156]

Answer:

The exponent is 5 because a exponent is what the number times itself like 3^2 is 9.

8 0
3 years ago
Read 2 more answers
Which polynomial is a quintic trinomial?
noname [10]

Answer:

D

Step-by-step explanation:

a quintic polynomial is a polynomial of degree 5

A is a polynomial of degree 4 (- x^{4} term )

B is a polynomial of degree 3 (x³ term )

C is a polynomial of degree 2 ( x² term )

D is a polynomial of degree 5 ( 3x^{5} term )

3 0
2 years ago
A baseball team is hosting a dance as a fundraiser. the cost of 1 individual ticket is $7. the cost of 1 group ticket is $16. th
QveST [7]
<h2>Word Problem</h2>

To form equations from word problems, we can do the following:

  1. Identify variables
  2. Find key information
  3. Identify word equations and translate into numerical equations
  4. Solve

<h2>Solving the Question</h2>

We're given:

  • Let <em>x</em> be the number of individual tickets that were sold
  • Let <em>y</em> be the number of group tickets sold
  • Cost of 1x = 7 dollars
  • Cost of 1y = 16 dollars
  • Baseball team: 36 more x than y
    ⇒ x = 36 + y
  • Fundraiser raised 574 dollars in total
    ⇒ 7x + 16y = 574 dollars

Question: How many individual tickets were sold? (What is the value of <em>x</em>?)

Here are all the equations we have created:

  • x = 36 + y
  • 7x + 16y = 574

We can solve for the value of <em>x</em> using systems of equations.

First, isolate <em>y</em> in the first equation:

x = 36 + y\\y=x-36

Now, plug this into the second equation:

7x + 16y = 574\\7x + 16(x-36)= 574\\7x+ 16x-586= 574\\23x=1150\\\\x=\dfrac{1150}{23}\\\\x=50

Therefore, <em>x</em> is equal to 50.

<h2>Answer</h2>

50 individual tickets were sold.

7 0
3 years ago
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