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gavmur [86]
3 years ago
9

Which of the following points is a vertex for the image produced by a dilation about the origin with a scale factor of 1/2?

Mathematics
1 answer:
MA_775_DIABLO [31]3 years ago
8 0

Answer:

A (0,3)

Step-by-step explanation:

The given trapezoid has vertices:

(0,6), (7,12), (7,9) and (0,12).

We want to choose from the given options, a point that is a vertex for the image produced by a dilation about the origin with a scale factor of 1/2.

Note that the mapping for such a dilation is:

(x,y)\to( \frac{1}{2} x, \frac{1}{2} y)

This implies that:

(0,6)\to(0,3)

(7,12)\to(3.5,6)

(7,9)\to(3.5,4.5)

(0,12)\to(0,6)

Therefore correct choice is (0,3)

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[02.03]
SVEN [57.7K]

Answer:

2)  Equation 1 and Equation 2 have the same number of solutions.

Step-by-step explanation:

The two given equations are

1)  15x + 6 = 41                and                   2) 2x + 13 = 28

Solving both equations, we get

Solving (1) :   15x + 6 = 41 ⇒   15x  = 41 -  6 = 35

or, x = 35/15 ⇒ x = 7/3

Solving (2) :   2x + 13 = 28⇒   2x  = 28 -  13  = 15

or, x = 15/2 ⇒ x = 15/2

So, from above solutions we can say that Equation 1 and Equation 2 have the same number of UNIQUE solution.

6 0
3 years ago
Andrea has 3 tiles. One is a regular octagon, one is a regular pentagon and one is a regular hexagon. Andrea thinks the 3 tiles
HACTEHA [7]

From calculations, we can say that the given tiles will not fit together perfectly.

<h3>How to find the sum of interior angles of a Polygon?</h3>

If the tiles join perfectly at a point, sum of all angles around the joining point should be 360°.

Expression for the measure of the interior angle of a polygon,

Interior angle of a polygon = [(n - 2) * 180]/n

Interior angle of a pentagon = [(5 - 2) * 180]/5 = 108°

Interior angle of a hexagon = [(6 - 2) * 180]/6 = 120°

Interior angle of an octagon = [(8 - 2) * 180]/8 = 135°

To prove that the given tiles fit together perfectly → Sum of all the angles around the common point should be 360°

Sum of all interior angles = 108° + 120° + 135° = 363°

Therefore, given tiles will not fit together perfectly.

Read more about Interior angles of a Polygon at; brainly.com/question/224658

#SPJ1

4 0
2 years ago
SOMEONE PLEASE PLEASE HELP PLEASE HELP
mr Goodwill [35]

Answer:

see explanation

Step-by-step explanation:

Using the rule of exponents

a^{m} = \frac{1}{a^{-m} } , then

2 ÷ 10^{4} = 2 ÷ \frac{1}{10^{-4} }

To divide leave first, change ÷ to × , turn second upside down

= 2 × 10^{-4}

6 0
3 years ago
Pythagorean Theorem help please!
Sergio [31]
14^2+48^2=c^2
196+2304= c^2
2500= c^2
50 = c
8 0
3 years ago
I need the answer to 1+1 please
ycow [4]

Answer:

2

Step-by-step explanation:

8 0
3 years ago
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