Proof
Provide the missing reasons for the proof of part of the triangle midsegment theorem.
Given: K is the midpoint of MJ.
            L is the midpoint of NJ.
Prove: MN = 2KL
The complete answer is attached in the diagram below.
The complete answer for the missing reasons is attached below in the diagram.
Please check the figure.
Keywords: statement, proof, reason
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Answer:
27
Step-by-step explanation:
The width of the frame is 9. If Marcia needs it to be THREE times as long as it is wide, that would mean she would have to multiply 3 x 9 which equals 27
 
        
             
        
        
        
Answer:
The players ran 150 meters
Step-by-step explanation:
Pythagorean Theorem: a² + b² = c²
Since we have a rectangle with sides 90 and 120, we know if we split a diagonal across it, we will get a right triangle with legs 90 and 120. From there, we use Pythagorean Theorem to solve:
90² + 120² = c²
8100 + 14400 = c²
c² = 22500
√c² =  √22500
c = 150 
 
        
                    
             
        
        
        
The numbers are 3 and 7
Step-by-step explanation:
Let the first number be x and the second number be y
Then according to given statement
One number added to three times another number is 24
x+3y=24     Eqn 1
 Five times the first number added to three times to other number is 36
5x+3y=36      Eqn 2
Subtracting Equation 1 from equation 2

Dividing both sides by 4

Putting x=3 in equation 1

Dividing both sides by 3

Hence,
The numbers are 3 and 7
Keywords: Linear equations, Variables
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