3 Figures A and B are shown on the coordinate grid.
Part A
Which series of transformations demonstrates that the figures are congruent?
A Reflect Figure A in the y-axis, followed by a reflection in the x-axis.
B Translate Figure A 6 units right, followed by a reflection in the x-axis.
C Rotate Figure A about the origin 180°, followed by a reflection in the x-axis.
D Reflect Figure A in the y-axis, followed by a 90° clockwise rotation about the origin.

Part B
Figure A is rotated 90° clockwise about the origin followed by a reflection in the x-axis. Then it is translated 2 units up and 1 unit left to form Figure C.
Describe a sequence of transformations that demonstrates the congruence between figure c and b .

395.84

step-by-step explanation:

2πrh+2πr²

2 (pie)(radius)(height)+2(pie)(radius)^2

(sin 42)/31. = sinx)/37

sinx = 37 (sin42)/31

= 37× 0.66/31 = 0.787

x= 51.9

other angle opposite to y = 180-51.9-42

= 180- 93.9 =86.1

so

sin42)/31 = sin 86.1)/y

0.021 = 0.997 /y

y= 0.997/0.021 =47.47

1/800 is the right answer

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation: