Given: D is the midpoint of AB; E is the midpoint of AC. Prove: DE ∥ BC On a coordinate plane, triangle A B C is shown. Line segment D E goes from side A B to side A C. Point A is at (2 b, 2c), point E is at (a + b, c), point C is at (2 a, 0), point B is at (0, 0), and point D is at (b, c). Complete the missing parts of the paragraph proof. Proof: To prove that DE and BC are parallel, we need to show that they have the same slope. slope of DE = StartFraction v 2 minus v 1 Over x 2 minus x 1 EndFraction = StartFraction c minus c Over a + b minus b EndFraction = = slope of BC = Therefore, because , DE ∥ BC.

the first question mark is 6 and the second question mark is 26 (the square root)

step-by-step explanation:

geometric series converge the common ratio r has magnitude less than one.

which is equivalent to

for the example we need

|2-x| < 1

-1 < 2-x   and 2-x < 1

x < 3 and x > 1

we can write that

answer: 1 < x < 3

1a. common ratio r=250/25=10 > 1     diverges

1b.   r=50/100=1/2 converges

when these converge they converge to

where a is the first term.

answer: 200

1c. r=-1   so it's not the case that |r| < 1.     diverges

2a. x is the common ratio so we converge when |x|< 1

2b.   r=-10x / -2 = 5x.

we converge when

|5x| < 1

|x| < 1/5

2c.   r=3-2x

-1 < 3-2x and 3-2x < 1

-4 < -2x and 2 < 2x

x < 2 and 1 < x

1 < x < 2

2d. [/tex] r=-48x^3/12 = 4x^3[/tex]

|4x^3| < 1

|x^3| < \frac 1 4

|x| < 4^{-1/3}

b

step-by-step explanation:

write an equation for the line of best fit. then predict the number of milk cow operations in the year 2005.