Question

Find the length of UC on the attached diagram. Thank you!

Answer 1

Answer

The length of UC is 18

Explanation

First we are going to find the length of JN; then we are subtracting from it the length of JU plus the length of CN.

We can infer from our picture that JN is 82 + 105, so JN = 187

We can also infer that JU = JH + HU

                                     JU = 22 + 96

                                     JU = 118

We can also infer that CN = 51

Now we can fin the length of UC:

$UC=JN-(JU+CN)$

$UC=187-(118+51)$

$UC=18$

We can conclude that the length of UC is 18.

Answer 2

Answer:

The correct answer is UC = 18

Step-by-step explanation:

From the given figure we can see that,

total length JN =  82 + 105 = 187

To find the length UC

From figure we can write,

UC = Total length - ( JU + CN) = JN - ( JU + CN)

JU = JH + HU = 22 + 96 = 118

UC = JN - ( JU + CN)

     = 187 - (118 + 51)

     = 187 - 169 = 18  

Therefore the length of UC = 18