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koban [17]
3 years ago
9

Please help!!! find the number that belongs under the radical.

Mathematics
2 answers:
Vanyuwa [196]3 years ago
6 0

Answer:

5?

Step-by-step explanation:

Why am I here, I cant math.

dmitriy555 [2]3 years ago
6 0

Answer: 25

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

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Given that LM is a midsegment of IJK, find JK.<br> A. 7<br> B. 8<br> C. 14<br> D. 16
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Answer: Option D. 16

Solution:

If LM is a midsegment of IJK, it is joining the midpoint of the sides IJ and IK, and it's half the length of the base of the triangle (JK), then:

L is the midpoint of the side IJ, and divides it into two congruent parts:

IL=LJ

Replacing IL by 7x and LJ by 3x+4:

7x=3x+4

Solving for x: Subtracting 3x both sides of the equation:

7x-3x=3x+4-3x

Subtracting:

4x=4

Dividing both sides of the equation by 4:

4x/4=4/4

Dividing:

x=1

Then we can determine the length of LM:

LM=2x+6

Replacing x by 1 in the equation above:

LM=2(1)+6

LM=2+6

LM=8

and because LM is half the length of the base of the triangle (JK)

LM=(1/2) JK

Replacing LM by 8:

8=(1/2) JK

Multiplying both sides of the equation by 2:

2(8)=2(1/2) JK

16=(2/2) JK

16=(1) JK

16=JK

JK=16

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