![$ PS = \frac{4}{3} x](https://tex.z-dn.net/?f=%24%20PS%20%3D%20%5Cfrac%7B4%7D%7B3%7D%20x)
Solution:
Given PRQ is a triangle.
ST is a line parallel to RQ.
![$PT = x, \ PQ = 3x, \ SR=\frac{8}{3}x](https://tex.z-dn.net/?f=%24PT%20%3D%20x%2C%20%5C%20PQ%20%3D%203x%2C%20%20%5C%20SR%3D%5Cfrac%7B8%7D%7B3%7Dx)
![TQ=PQ-PT](https://tex.z-dn.net/?f=TQ%3DPQ-PT)
![TQ=3x -x=2x](https://tex.z-dn.net/?f=TQ%3D3x%20-x%3D2x)
<u>Triangle proportionality theorem,</u>
<em>If a line parallel to one side of a triangle intersects the other two sides, then it divides the two sides proportionally.</em>
![$\frac{PS}{SR} =\frac{PT}{TQ}](https://tex.z-dn.net/?f=%24%5Cfrac%7BPS%7D%7BSR%7D%20%3D%5Cfrac%7BPT%7D%7BTQ%7D)
![$\frac{PS}{\frac{8}{3} x} =\frac{x}{2x}](https://tex.z-dn.net/?f=%24%5Cfrac%7BPS%7D%7B%5Cfrac%7B8%7D%7B3%7D%20x%7D%20%3D%5Cfrac%7Bx%7D%7B2x%7D)
Do cross multiplication, we get
![$ PS \times 2x=x \times \frac{8}{3} x](https://tex.z-dn.net/?f=%24%20PS%20%5Ctimes%202x%3Dx%20%5Ctimes%20%5Cfrac%7B8%7D%7B3%7D%20x)
Divide by 2x on both sides, we get
![$ PS = \frac{4}{3} x](https://tex.z-dn.net/?f=%24%20PS%20%3D%20%5Cfrac%7B4%7D%7B3%7D%20x)
C. Your financial goals will change over time.
Answer:
A=24
Step-by-step explanation:
First, we do the equations in the brackets(2x6) which is 12.
Before that, there is a 1/2 which means dividing whatever is inside the brackets by 2 which then becomes 6.
Then we x4 so the answer is 24.
Answer:
multiply 460 by 5
Step-by-step explanation:
460 * 5 = 2,300