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frutty [35]
4 years ago
11

Question 6 of 15

Mathematics
1 answer:
umka2103 [35]4 years ago
8 0

Answer:

LE=5\ units

Step-by-step explanation:

we know that

In a rectangle, the two diagonals are congruent and each diagonal bisects the other

so

LN=2KE ----> equation A

KE=LE -----> equation B

step 1

Find the value of x

solve equation A

LN=2KE

substitute the given values

(2x+2)=2(3x-7)

solve for x

2x+2=6x-14\\6x-2x=2+14\\4x=16\\x=4

step 2

Find the value of KE

KE=3x-7

substitute the value of x

KE=3(4)-7=5\ units

Remember that

KE=LE  -----> by each diagonal bisects the other

therefore

LE=5\ units

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