Answer:
LM = 1.5
LN = 3
Step-by-step explanation:
From the question given:
M is the midpoint of LN
LM = 3x
LN= 2x + 2
LM =.?
Next, we shall determine the value of x. This is illustrated below:
Since M is the midpoint of LN, it means that when we divide LN by 2 the result will be LM i.e
LN /2 = LM
With the above formula, we can obtain the value of x as follow:
LN= 2x + 2
LM = 3x
x =..?
LN /2 = LM
2x + 2/ 2 = 3x
Cross multiply
2 × 3x = 2x + 2
6x = 2x + 2
Collect like terms
6x - 2x = 2
4x = 2
Divide both side by 4
x = 2/4
x = 0.5
Finally, we can obtain LM and LN as follow:
LM = 3x
x = 0.5
LM = 3 × 0.5
LM = 1.5
LN= 2x + 2
x = 0.5
LN = 2(0.5) + 2
LN = 1 + 2
LN = 3
Triangle 4 is <span> is congruent to ΔABC by the ASA
hope it helps</span>
Answer:
2,3,5,7,11,13,17,19,23,29
Step-by-step explanation:
Answer:
(14.1, 14.1)
Step-by-step explanation:
If the point (x,y) is on the line y=x, then it has coordinates (x,x).
Find the distances from this point to points (-6,2) and (10,-9):
- distance from (x,x) to (-6,2):
- distance from point (x,x) to (10,-9):
Equate these distances:
Square this equation:
So, the coordinates are (14.1, 14.1)
