Pls help, solve for x

Hi Jada,  this type of problem shows up on sooo often.  I feel like the teachers don't  know how to explain this type of problem b/c so many people can't get these.   My question to you is....  do you feel like your teacher has explained this well?   :/

Step-by-step explanation:

this is also a trick type of question.  the smaller triangle is a "similar" triangle to the bigger one.  we can tell b/c they share the one side x.  it's part of each of them and they are both right triangles sooooo

24 / x = x /3

72 =

8.48528 = x

-7

step-by-step explanation:

x^2 + 18x + 74 = (x + 9)^2 - 81 + 74

= (x + 9)^2 - 7.

so q = -7.

more detail

step-by-step explanation: