Data:
<span>segment AU = 20x + 108,
segment UB = 273,
segment BC = 703,
segment UV = 444,
segment AV = 372 and
segment AC = 589.
From the figure:
1) Similarity => segment AB / segment BC = segment AU / segment UV
2) segment AB = segment AU + segment UB = 20x + 108 + 273 = 20x + 381
=> (20x + 381) / 703 = (20x + 108) / 444
=> 444 (20x + 381) = 703 (20x + 108)
=> 8880x + 169164 = 14060x + 75924
=> 14060x - 8880x = 169164 - 75924
=> 5180 x = 93240
=> x = 93240 / 5180
=> x = 18
Answer: x = 18
</span>
Answer:
(-3,2)
Step-by-step explanation:
1) -2x+y=8
you need to leave the Y alone on one side. Then, the term -2x goes to the other side with its opposite sign which is +.
y=8+2x
2) y=2x/(5-8)
3) 8+2x=2x/(5-8)
now, you need the x value. for that, you need to leave x alone on one side.
8+2x=2x/(-3)
8+2x=-(2/3)x
8=-(2/3)x-2x
8=-(8/3)x
8/-(8/3)=x
-3=x
4) you now have the x value. you need the y value. for that, replace the x in one of the given equations. let´s use the 1st equation.
-2x+y=8
y=8+2x
y=8+2*(-3)
y=2
result:
x= -3
y=2