Line pq is parallel to bc and splits ab into lengths of x + 8 and x. the other side, ac, is split into lengths of x + 13 and x + 1. what is the length of ac? image not to scale.

Step-by-step explanation:

The problem is about proportions, because we have two parallels line being intercepted by two transversal. So, the proportion would be:

Solving for :

Now, to find the length of AC, we just have to use the value found and replace it in the proper expression:

Therefore, the length of AC is 18.

last option: rhombus or kite

step-by-step explanation:

a kite and rhombus have the same shape. as we don't have any specific formula for the calculation of area of kite. the diagonals are used to calculate the area of a kite or rhombus.

the formula for area of rhombus is given by:

here, d_1 is the first diagonal and d_2 is the second diagonal.

so,

last option is the correct answer ..