Triangle def has vertices d (-4 , 1) e (2, 3), and f (2, 1) and is dilated by a factor of 3 using the point (1, 1) as the point of dilation. the dilated triangle is named triangle d'e'f'. what are the coordinates of the vertices of the resulting triangle?

D'(-14,1), E'(4,7), F'(4,1)

Step-by-step explanation:

Triangle DEF with vertices D(-4,1), E(2,3) and F(2,1) is dilated by a factor of 3 using the point O(1, 1) as the center of dilation.

To find the image of vertex D, connect this vertex with the center of dilation, you'll get the segment OD. The length of this segment is 5 units. Plot point D' such that the length of the segment OD' is units (note points D and D' are the same side points from point O, because the scale factor 3 is positive). Hence, point D' has coordinates (-14,1).

To find the image of vertex E, connect this vertex with the center of dilation, you'll get the segment OE. Plot point E' such that the length of the segment OE' is units (points E and E' are the same side points from point O too). Hence, point E' has coordinates (4,7).

To find the image of vertex F, connect this vertex with the center of dilation, you'll get the segment OF. Plot point F' such that the length of the segment OF' is units (points F and F' are the same side points from point O too). Hence, point F' has coordinates (4,1).

9) i can't see the angle so whatever it is just do this: cos(angle) x hypotenuse and then use that answer and they hypotenuse and plug it into this: (answer you just got)^2 + b^2 = (hypotenuse)^2. the first answer will be the answer of the adjacent side and the second answer after this equation will be the opposite side.

10) y = 14 x = √147 or 12.12435565

11) x = 4.8

12) x = 4.2

13) x = 9.3

14) pq: 13.2

qr : 17.6

angle p: 53º

15) angle c: 54.3º

angle a: 35.7º

16) h = 21040

v = 1841

step-by-step explanation:

10) 7/sin(30) = 14 = y

7^2 + b^2 = 14^2

49 + b^2 = 196

b^2 = 196 - 49

√b^2 = √147

x = √147

11) cos(70) x 14 = 4.788282007

x = 4.8

12) tan(25) x 9 = 4.196768923

x = 4.2

13) sin(31) x 18 = 9.270685348

x = 9.3

14) pq: sin(37) x 22 = 13.23993051

pq: 13.2

qr: cos(37) x 22 = 17.56998122

qr : 17.6

angle p: 180 - (37 + 90) = 53º

15) cos-1(7/12) = 54.31466529

angle c: 54.3º

angle a: 180 - (90 + 54.31466529) = 35.68533471

angle a: 35.7º

16) 4 x 5280 = 21120

cos(5) x 21120

h = 21039.63202

h = 21040

sin(5) x 21120

v = 1840.729287

v = 1841