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Mice21 [21]
3 years ago
7

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

Mathematics
2 answers:
mars1129 [50]3 years ago
5 0

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

<u>To find the length UC</u>

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

ValentinkaMS [17]3 years ago
3 0
<h2>Answer </h2>

The length of UC is 18

<h2>Explanation </h2>

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.

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The area of a rectangle is 256.5m2. if the length is 18m, what is the perimeter of the rectangle
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Answer:

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<h3>Given</h3>

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From the picture, we can see that ΔLSP and ΔLRN are similar, so corresponding sides are proportionate:


LN : LP = 28:12 = 7:3


Therefore, the LRN sides is 7/3 of the corresponding side of LSP.


Then, it states that the area of LSP = 50, and area of a triangle is (1/2)bh, so we set up the equation


Area of LSP = (1/2)bh = 50 ← Remember how the corresponding sides are 7/3 of LSP? Therefore, the area of LRN:


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