Answer: Segment BD = 15
Step-by-step explanation: Ok. So, we know that segment DE is parallel to segment BC and segment EF is parallel to segment AB. The triangle proportionality theorem states that if a line is parallel to one side of a triangle and also intersects the other two sides, the line divides the sides proportionally. To put it more simply; because segment EF is parallel to segment AB, triangles ADE and EFC are proportional and similar. From there we must find the scale factor by which these two triangles are proportional.
We can do this by dividing the corresponding segments by; each other.
24 ÷ 20 = 1.2
Scale Factor = 1.2
Then we divide segment AD (18) by the scale factor (1.2).
18 ÷ 1.2 = 15
Since segment EF is parallel to segment AB, segment EF corresponds and is congruent to segment DB.
So,
Segment BD = 15
Both expression have the same denominator: 9x²-1. Thus it must not be 0.
9x²-1=(3x-1)(3x+1)=0, resulting x=+-1/3.
Restrictions: x in R\{-1/3, 1/3}
Adding those expressions:
E=(-x-2)/(9x²-1 ) + (-5x+4)/(9x²-1)=
(-x-2-5x+4)/(9x²-1)=(-6x+2)/(9x²-1)=
(-2)(3x-1)/(9x²-1)=-2/(3x+1)
E=-2/(3x+1)
Step-by-step explanation:
-12 = 5x
5x = -12
x = -12/5
x = -2.4
Answer:
Brand A
Step-by-step explanation: Brand A because y=50x+100 and that equals 150x. For brand B y=25x+200 and that equals 225x. So Brand A is lower.
Answer:
Step-by-step explanation:
hm 2x2=4
