Adrawing of a butterfly is shown below. what changes were made to the upper portion of the wing to form the lower portion of the wing? a. dilation and translation b. rotation and translation c. reflection and translations d. dilation and reflection

The upper portion is larger than the bottom , so this is a dilation.

 The upper portion and bottom portion are connected to each other on the horizontal plane, which means the upper portion was reflected on the X-Axis.

 The correct answer should be D. Dilation and Reflection

7.

x=16

DE = 167

EF=13

DFG = 347

8.

x=11

MN = 65

NP = 115

NQP =245

Step-by-step explanation:

Part1 Alright so arc length EF and FG have supplementary angles meaning that the two arc lengths added together will equal 180. So we setup the equation

12x-25+x-3=180 then we solve

step 1 combine like terms

13x-28=180

step 2 add 28 to each side

13x=208

step 3 divide each side by 13

x=16

Then we plug in to find arc lengths EF and FG and get that FG =167 and EF = 13

Because DE is vertical from FG they have the same arc length so DE = 167

For the last arc length DFG we just subtract arc length DG from 360 to get 347

Part 2 arc MN and QP are vertical from each other so they have the same arc length so we setup the equation 10x-45 = 6x-1 then we solve for x

step 1 subtract 6x from each side

4x-45=-1

step 2 add 45 to each side

4x=44

step 3 divide each side by 4x to get x=11 then we plug in for arc length MN to get mn = 65

Side Mn and NP are supplementary (the angles added together = 180.) so we subtract 65 from 180 to get 115 so NP = 115