2. Solve the equation. *
-12(x - 12) = -9(1 + 7x)

Use the distributive property to multiply -12 by x-12.

Use the distributive property to multiply -9 by 1+7x.

Add 63x to both sides.

Combine -12x and 63x to get 51x.

Subtract 144 from both sides.

Subtract 144 from -9 to get -153.

Divide both sides by 51.

Divide -153 by 51 to get -3.

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.