suppose point J is between points H and J. Let HJ=2x+5,JK=3x-7,and KH=18. Find the length
J cannot be between H and J.
Yeah it can. Point J is the mid-point already figured it out..
rectangles length is 3 more than twice its width and has a perimeter of 30 centimeters find the dimensions
To find the length of segment HJ, we need to determine the value of x first.
According to the given information, we know that KH = 18, HJ = 2x + 5, and JK = 3x - 7.
Since K is the point between H and J, we can determine the length of segment HJ by adding the lengths of segments KH and KJ.
Therefore, we can write the following equation:
KH + KJ = HJ
Substituting the given values, we have:
18 + (3x - 7) = 2x + 5
Now, let's solve this equation to find the value of x.
18 + 3x - 7 = 2x + 5
Combine like terms:
3x + 11 = 2x + 5
Subtract 2x from both sides:
x + 11 = 5
Subtract 11 from both sides:
x = -6
Now that we have the value of x, we can substitute it back into the equation HJ = 2x + 5 to find the length of segment HJ:
HJ = 2(-6) + 5
HJ = -12 + 5
HJ = -7
Therefore, the length of segment HJ is -7.