Answer:
x = 15
LN and MO both equal 43
Step-by-step explanation:
LN and MO are diagonals in rectangle
Diagonals of a rectangle are congruent Hence, 4x - 17 = 2x + 13
Now we solve for x
4x - 17 = 2x + 13
Add 17 to both sides
4x = 2x + 30
Subtract 2x from both sides
2x = 30
Divide both sides by 2
x = 15
Now we want to find the values of LN and MO
To do so we substitute 15 for x in it's given expression ( note: because LN = MO we only need to do this process once )
LN = 4x - 17
Substitute 15 for x
4(15) - 17
Multiply
60 - 17
Subtract
LN and MO = 43
Answer:
what is the question about the given numbers
Answer:
P'(7 , -11)
Step-by-step explanation:
what this tells us
(x,y) → ( x+3, y−2)
Is that the value of x of the new point is going to take (x + 3) with respect to the value of x of the other point.
Is that the value of y of the new point is going to take (y - 2) with respect to the value of y of the other point.
P (4,−9)
x = 4
y = -9
P'( x+3, y−2)
x + 3 =
4 + 3 = 7
y - 2 =
-9 - 2 = -11
P'(7 , -11)
