Find the missing length indicated. (Triangle inequality theorem) please help

Step-by-step explanation:

Oh they are " similar "  triangles, so they are scale copies of each other

for 13)   they are saying those same marks on the sides means those segments are the same lengh.  so the bigger triangle takes 2 same lengths as does the smaller one.    Yes.. that does mean the bigger one is 2 times bigger than the smaller one.   sooo  just multiply that known side by 2 to find BD

so BD = 2 *8

BD = 16  :)

for 14)    same exact thing but in reverse

XY = 1/2 *8

XY = 4  :)

for 15)

I think that there is a line from U to V that isn't showing up in the photo,  using your camera for a photo of a screen seems .. hmm redundant.. just push "screen print" then paste what you copied into paint .  then show that pic... no phone cam required.  :? and the pic would be much much better quality.. no missing lines :/

anyway    so if there is in fact a line from U to V  then IK is that same 2 times bigger than UV

IK = 2*4

IK = 8

For 16)  this is getting to be the same thing over and over.. are you getting it? :)

DF = 2 *8

Df = 16

$25

step-by-step explanation:

25 - 4.50 = 20.5

20.5 / 2 = 10.25

10.25 + 10 = 20.25

20.25 - 12.50 = 7.75

therefore the answer is $25 as shown as the first number.