Given that abcd is a rhombus, what is the value of x?

E.  x = 18.6.

Step-by-step explanation:

As it is a rhombus  the diagonals bisect to 4 angles in the rhombus (which add up to  360).Therefore:

4(4x - 3) + 4x = 360

16x - 12 + 4x = 360

20x = 372

x = 372/20

= 18.6.

Step-by-step explanation:

Diagonals of rhombus are perpendicular  to each other

4x - 3 + x + 90 = 180            { angle sum property}

5x = 180 - 90 + 3

5x = 93

x = 93 / 5

x =  18.6

b

step-by-step explanation:

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is