# Create a polygon JKLMNOPQ that is a dilation of polygon ABCDEFGH with a scale factor of 3 about the origin

The dilated polygon and polygon are created. And the scale factor of the polygon STUVWXYZ to JKLMNOPQ will be 9.

### What is dilation?

Dilation is the methodology of expanding the dimensions of an object without impacting its appearance.

The coordinate of the polygon ABCDEFGH is given as,

(3, -3), (4, -4), (5, -3), (8, -6), (10, -4), (9, -3), (8, -4), (5, -1)

a) If the scale factor is 3, then the coordinate of the polygon JKLMNOPQ is given as,

⇒ 3 [(3, -3), (4, -4), (5, -3), (8, -6), (10, -4), (9, -3), (8, -4), (5, -1)]

⇒ (9, -9), (12, -12), (15, -9), (24, -18), (30, -12), (27, -9), (24, -12), (15, -3)

b) If the scale factor is 1/3, then the coordinate of the polygon STUVWXYZ is given as,

⇒ 1/3 x [(3, -3), (4, -4), (5, -3), (8, -6), (10, -4), (9, -3), (8, -4), (5, -1)]

⇒ (1, -1), (4/3, -4/3), (5/3, -1), (8/3, -2), (10/3, -4/3), (3, -1), (8/3, -4/3), (5/3, -1/3)

c) The polygon JKLMNOPQ and STUVWXYZ are similar. Then the scale factor is given as,

Scale factor = 9/1

Scale factor = 9

The diagram is given below.

brainly.com/question/2856466

#SPJ9

## Related Questions

A fish tank has a base, B, with an area, in square inches, modeled by B(x) = 2x^2 + 6x + 4. The height, H, in inches, is modeled by H(x) = x + 3. Find the equation that models the fish tank’s volume, V, in cubic inches.A. V(x) = 2x^2 + 7x + 7

B. V(x) = 2x^2 + 5x + 1

C. V(x) = 2x^3 + 12x^2 + 22x + 12

D. V(x) = 2x^3 + 8x^2 + 10x + 4

C. V(x) = 2x^3 + 12x^2 + 22x + 12

Step-by-step explanation:

The volume of a fish tank is the multiplication of the area of the base by the height.

In this question:

Area of the base:

Height:

Volume:

C. V(x) = 2x^3 + 12x^2 + 22x + 12

In the equation y = -2x + 5, what is the average rate of change (slope)?a. 5
b. 2
c. -2x
d. -2

-2

Step-by-step explanation:

Slope = -2

y= Mx+b M= slope
y=-2x+b. -2 is in the m spot

Rewrite the following arguments using letters to represent the terms, reduce the number of terms and put the arguments in to standard form. Then test the new forms with Venn diagrams or by means of the five rules for syllogisms to determine the validity or invalidity of the original arguments.1. Some foreign emissaries are persons without diplomatic immunity, so some persons invulnerable to arrest and prosecution are foreign emissaries, because no persons with diplomatic immunity are persons vulnerable to arrest and prosecution.

P2 affirms P1 and the conclusion is in the same direction.

P1--->P2--->C

This argument is valid.

Step-by-step explanation: using the syllogism rules.

Premises 1 (P1) = Some foreign emissaries are persons without diplomatic immunity,

Premises 2 (P2) = so some persons invulnerable to arrest and prosecution are foreign emissaries

Conclusion (C) = because no persons with diplomatic immunity are persons vulnerable to arrest and prosecution.

From the argument:

P1 uses "some", that means it's not "all" foreign emissaries person that does not have diplomatic immunity. This means that some other foreign emissaries have diplomatic immunity

P2 uses "some", that means it's affirms to that part of P1 which states that some foreign emissaries have diplomatic immunity.

The conclusion is valid because the part of P2 which states that some foreign emissaries are vulnerable to arrest, which affirms with P1 which states that Some foreign emissaries are persons without diplomatic immunity. That means no persons with diplomatic immunity are persons vulnerable to arrest and prosecution. This conclusion literally means that if you don't have diplomatic immunity, you are vulnerable to arrest and prosecution.

Therefore;

P2 affirms P1 and the conclusion is in the same direction.

P1--->P2--->C

This argument is valid.

input 1 output 1 ×7 =7

input 2 output 2 ×7 =14

input 3 output 3 ×7=21

input 4 output 4×7=28

Answers are 7, 14, 21 and 28

A person's heart rate is 65 beats per minute at rest. It increases by 12 beats per minute for each ofthe first 10 minutes of exercise. What is the person's heart rate after 6 minutes of exercise?

the heartbeat per minute is 137 i used calculator

The heart rate of the person after 6 minutes of exercise, assuming it increases by 12 beats per minute during this period, would be 137 beats per minute.

### Explanation:

The question asks for the heart rate of a person after 6 minutes of exercise, given that it increases by 12 beats per minute during the first 10 minutes. To solve this, we start with the person's resting heart rate, which is 65 beats per minute. For each minute of exercise, we add 12 beats to the resting rate. So for 6 minute workout, the increase would be 6 times 12, which equals 72. Adding this to the resting heart rate, 65 + 72, the heart rate after 6 minutes of exercise would be 137 beats per minute.