Answer:
Part 1) The length of the longest side of ∆ABC is 4 units
Part 2) The ratio of the area of ∆ABC to the area of ∆DEF is
Step-by-step explanation:
Part 1) Find the length of the longest side of ∆ABC
we know that
If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor
The ratio of its perimeters is equal to the scale factor
Let
z ----> the scale factor
x ----> the length of the longest side of ∆ABC
y ----> the length of the longest side of ∆DEF
so
we have
substitute
solve for x
therefore
The length of the longest side of ∆ABC is 4 units
Part 2) Find the ratio of the area of ∆ABC to the area of ∆DEF
we know that
If two figures are similar, then the ratio of its areas is equal to the scale factor squared
Let
z ----> the scale factor
x ----> the area of ∆ABC
y ----> the area of ∆DEF
we have
so
therefore
The ratio of the area of ∆ABC to the area of ∆DEF is
Answer:
rhombus
Step-by-step explanation:
Diagonals that are perpendicular: a square, <em>rhombus</em>, or kite.
Opposite angles that are congruent and adjacent angles that are not: a parallelogram or <em>rhombus</em>.
Four congruent sides: a square or <em>rhombus</em>.
The description matches that of a rhombus.
Here is your answer :
2 x 1.5= 3m^2
If you are looking for how to turn that worded problem into an equation...
Heres the answer you're looking for
3x-11
Answer: Hope this helps
y = 3/5x + 100
Slope: 3/5
Y-int: 100
Step-by-step explanation:
y = mx + b
<em>replace b with y-int</em>
y = mx + 100
<em>replace m with the slope which is 3/5</em>
y = 3/5x + 100
<em>How do you get slope?</em>
<em>Well I did rise/run with two points so I saw it ran 5 squares and rose only 3.</em>
<em>How do you get the y-int?</em>
<em>Well the y-int is the point where x is 0. So using the point (0,100), since x is 0, the y-int is 100.</em>