Use slopes to determine if the triangle whose vertices are left parenthesis negative 3 comma 3 right parenthesis, left parenthesis 2 comma 4 right parenthesis, and left parenthesis 4 comma 0 right parenthesis is a right triangle.

Step-by-step explanation:

vertices are A(-3,3),B(-2,4),C(4,0)

slope of AB=(4-3)/(-2+3)=1/1=1

slope of BC=(0-4)/(4+2)=-4/6=-2/3

slope of CA=(3-0)/(-3-4)=-3/7

two lines are perpendicular if product of slopes=-1

so it is not a right angled triangle .

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.

answer: 16

step-by-step explanation: first you would add 6+6 which equals 12 then add 2+2 which equals 4. then add 12 + 4 which is 16.

hope this ^_^