Y is a point on HR with HO=(19x) miles and OR=48 miles. If HR=(27x) miles, find HO (in miles)

To find the length of HO, we need to use the given information about the lengths of HR, HO, and OR.

We know that HR equals 27x miles and HO equals 19x miles. We also know that OR equals 48 miles.

To find HO, we can set up an equation using the information we have:

HR = HO + OR

Substituting the given values:

27x = 19x + 48

Now we can solve the equation for x:

27x - 19x = 48

8x = 48

Dividing both sides by 8:

x = 48/8

x = 6

Now that we have the value of x, we can find HO by substituting it back into the equation:

HO = 19x

HO = 19 * 6

HO = 114

Therefore, HO is equal to 114 miles.