<span>Congruent triangles are
triangles with the same sides and the same measure of angles. You are given
triangle DEF which is similar to triangle FGH. From the figure, side FH is
larger than side DF. So the statement of them being congruent cancels out. Triangle
DEF is smaller in size than triangle FGH. So they are not congruent. The slope
is defined as the rise over run. Side DF has the same slope as side FH. Sides DE
and FE are proportional to sides FG and HG. Only C and D is correct.
</span>
Answer:
z = 12xy
Step-by-step explanation:
Given z varies jointly with x and y then the equation relating them is
z = kxy ← k is the constant of variation
To find k use the condition when x = 2 and y = 3, z = 72, that is
72 = k × 2 × 3 = 6k ( divide both sides by 6 )
12 = k , then
z = 12xy ← equation of variation
Answer:
<h2>x = 6, y = 24</h2>
Step-by-step explanation:
We have the vertical angles and supplementary angles.
Vertical angles are congruent. Therefore we have the equation:
Supplementary angles add up to 180°. Therefore we have the equation:
Solve (2):
Put the value of x to (1) and sole: