Answer:
x=6
Step-by-step explanation:
3x-5=2x+1
x-5=1
x=6
Answer:
Segment BF = 16
Step-by-step explanation:
The given theorem states that a line parallel to one side of a triangle divides the other two sides proportionately
The given theorem is the Triangle Proportionality Theorem
According to the theorem, given that segment DE is parallel to segment BC, we have;

Therefore;

Which gives;

Similarly, given that EF is parallel to AB, we get;

Therefore;

Which gives;

Therefore, the statement that can be proved using the given theorem is segment BF = 16.
Hi there! You are provided with two points, this is all you need to calculate the line's slope.
The equation for slope is:


Slope: -2/4
Point slope form, or y-y1 = m(x - x1). All we have to do is take the x and y coordinates of either point, as well as the slope, and plug them into the equation.
y - 10 = -2/4(x - 3)
Write the equation in slope-intercept form (y=mx+b)

A) -2/4
B) y - 10 = -2/4(x - 3)
C) y = -2/4x + 11.5
The First person that wrote there answer is correct
Answer:
One solution, x = 8/9
Step-by-step explanation:
One way to solve this is to take one equation and substitute into the other and then solve. So, take y=5(x-4) and put that into the other equation.
4x + 12 = -y
4x + 12 = -(5(x-4)) <--- substitution here
4x + 12 = -5(x-4)
4x + 12 = -5x + 20 <-- simplifying
4x + 5x = 20 - 12
9x = 8
x = 8/9