YWXZ is a rhombus with diagonals that intersect at point S. Side WX measures 4a + 12. Side XZ measures 6a. Find the value of a.

1 answer:

5 0

The rhombus is quadrilateral whose:

i) diagonals are perpendicular

AND

ii) lengths of all sides are equal.

So, by the definition of being a rhombus, |WX|=|XZ|

thus,

4a+12=6a
12=2a
a=6

Answer: 6

You might be interested in

The equation y 16t 2 18t 405 describes the height in feet of a ball thrown downward at 18 feet per second from a height of 405 f

kumpel [21]

Answer:

Ball hits the ground after 4.5 sec

Step-by-step explanation:

Let a -1, so that the leading coefficient is positive

So our quadratic is

$-1 \times (16t^2 +18t -405)$

The key coefficients of two binomial variables can be 1 and 16, or 2 and 8, or 4 and 4, for the leading coefficient of 16.

Yet they can't actually be 4 and 4 because the linear (x) term coefficient has to be a multiple of 4, which it isn't and leading coefficients 1 and 16 on the binomial factors is not likely.

So, 2 and 8 taken as the leading coefficients of two binomial factors.

For constant 405, possible factorizations are $(81\times 5, 27 \times 15, 9 \times 45).$