What is the value of x? What is the length of MN
Please explain how you got the answer.

x=35/3

Step-by-step explanation:

The two triangles are similar

So the equation is

12/6=3x-4/15.5

2=3x-4/15.5

3x-4=31

3x=35

x=35/3

just took the test and my answers down below!

step-by-step explanation:

check the pic :

18 units²

step-by-step explanation:

first let's find altitude bd using the distance formula

d = √((y₂ - y₁)² + (x₂ - x₁)²)

bd = √((0 - -3)² + (0 - 3)²)

bd = √18

given the placement of points a and c, we can denote that point d bisects segment ac.

we will call ac the base.

using the distance formula

ac = √((0 - 6)² + (-6 - 0)²)

ac = √72

knowing our base and our height, we can plug these into our triangle area formula

area = (b * h)/2

area = (√18 * √72) / 2

area = (√1296) / 2

area = 36 / 2

area = 18 units²