Tommy is writing a coordinate proof to show that the midsegment of a trapezoid is parallel to its bases. he starts by assigning coordinates as given, where rs¯¯¯¯¯ is the midsegment of trapezoid klmn .

The midsegment RS divides sides KN and LM into equal halves.

The coordinate of S is (a + d, c) and the slope of RS is 0

The coordinate of S is calculated using the following midpoint formula:

So, we have:

Add 2c and 0

Divide both fractions

RS is parallel to KL.

So, the slope of RS is 0

Hence, the coordinate of S is (a + d, c) and the slope of RS is 0

Read more about slopes and midpoints at:

link

Coordinates of R are (b,c)

NM is 0

Step-by-step explanation:

10% of increase is the final answer! : )

3< x< 5

step-by-step explanation:

|x - 4| < 1

there are two solutions, one positive and one negative.   remember to flip the inequality when taking the negative solution

x-4 < 1       x-4 > -1

add 4 to each side

x-4+4 < 1+4       x-4+4 > -1+4

x< 5                 x> 3

3< x< 5