Two lines, m and n, are represented by the following equations:
line m: y = x + 3
line n: y = –2x + 6

which of the following options shows the solution to the system of equations and explains why? (4 points)

(1, 4), because the point does not lie on any axis
(1, 4), because one of the lines passes through this point
(1, 4), because both lines pass through this point
(1, 4), because the point lies between the two axes

answer: what equations are there

step-by-step explanation:

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.

solve systems of equations by graphing. a system of linear equations contains two or more equations e.g. y=0.5x+2 and y=x-2. the solution of such a system is the ordered pair that is a solution to both equations. to solve a system of linear equations graphically we graph both equations in the same coordinate system

6 equilateral triangles