Answer:
The slope of the line given by the equation -3x=30-5y is
.
Step-by-step explanation:
-3x=30-5y
Move the -3x to the right side of the equal sign and the -5y to the left.
5y=30+3x
By switching them to opposite sides, their sign changes from - to +.
Then, divide both sides by 5 in order to isolate the y.

You get:
<em>y= </em>
<em />
According to y=mx+b, mx refers to the slope.
In this case, the slope would be
.
Step-by-step explanation:
The scale factor is 12/6 = 10/5 = 2.
Answer:

Step-by-step explanation:
we know that
An <u><em>equilateral triangle</em></u> has three equal sides and three equal interior angles (each interior angle measure 60 degrees)
so
The perimeter is equal to

where
b is the length side of the equilateral triangle
we have

substitute

solve for b

Find the area
The formula of area applying the law of sines is equal to

substitute the value of b




This is true
Think of two houses. If we say "the houses are identical" then the corresponding pieces must be the same (eg: the doors must be the same type out of the same material). In this analogy, the houses are the triangles, which are the overall structures. The doors are the angles since they are pieces of the overall structures. This is what CPCTC is saying
CPCTC = Corresponding Parts of Congruent Triangles are Congruent
Once again, the final answer is true.