Answer:
YX = 22
Step-by-step explanation:
Similar triangles. So,

Cross multiplication
45*(x+8) = 30 * (3x - 9)
45x + 360 = 90x - 270
360 = 90x - 270 - 45x
360 = 45x - 270
360 + 270 = 45x
45x = 630
x = 630/45
x = 14
YX = x +8 = 14 + 8 = 22
The answer is 81cm^2.
The formula is height multiplied by base divided by 2.
S) This question is asking me to find the volume of the backpack.
O) Identify the facts: compartment one is 14x3x10, compartment two is 12x2x10, Julissa got a new backpack
Eliminate the unnecessary facts: Julissa got a new backpack
List the necessary facts: compartment one is 14x3x10, compartment two is 12x2x10
L) I chose Multiplication, I will multiply the measurements of compartment one, then multiply the measurements of compartment two and add them together to find the volume of the backpack.
V) I think the backpack will be at least 300 inches cubed.
(SOLVING PART)
Compartment one: 12 times 2 times 10 = 240
Compartment two: 14 times 3 times 10 = 420
420 + 240 = 660
E) Julissa’s backpack is 660 inches cubed.
I hope this helps