abrowns abrowns
  • 12-02-2021
  • Mathematics
contestada

Solve for x.

Help please

Solve for x Help please class=

Respuesta :

angstar4
angstar4 angstar4
  • 12-02-2021
x = 10

The triangles are similar by SAS, so we can set up a proportion of their sides.

9/(33-9) = 12/(3x+2)
9/24 = 12/3x+2

Reduce
3/8 = 12/3x+2

Cross multiply
3(3x+2) = 12*8

Distribute and multiply
9x + 6 = 96

Subtract 6
9x = 90

Divide by 9
x = 10

Check:
9/24 = 12/3x+2
9/24 = 12/3*10 + 2
9/24 = 12/30 + 2
9/24 = 12/32
3/8 = 3/8 :)
Answer Link

Otras preguntas

How do I do trebuchet calculations????? Help me please
Can someone answer my question plz!!!! It's in the picture and show your work!!!!!
why is it critical to your cells to be near capillaries
Round 46.895 to the nearest tenth
Please help with math question and please show ALL work. 1....How many solutions does the equation 3x+x+3=2(2x+1)+1 have? 2...How many solutions does the pair
if a star is shown ti be 33.11 trillion killometers away , how many light year would that be
PLEASE HELP I GIVE THANKS
a summary about concussions
Why did we use coin-flipping as a method to choose traits for the parent pets and the offspring pets?
the bombing of Hiroshima and Nagasaki resulted in