Compare the original trapezoid and the enlarged trapezoid.
What is the perimeter of trapezoid ABCD?
4 cm
B
2 cm
D
2 cm
С
What is the perimeter of trapezoid WXYZ?
5 cm
W
10 cm
х
What is the scale factor for this enlargement?
5 cm
Z
Side
Side
Length Length
4 cm 2 cm
5 cm
5 cm
Y
12.5 cm
Side Side
Perimeter
Length Length
2 cm 5 cm ?
5 cm
12.5 cm
?
10 cm

Compare the original trapezoid and the enlarged

trapezoid.
What is the perimeter of trapezoid ABC

Solved

Show answers

Ответ:

67555savchenko

02.10.2022

Mathematics

$(x,y)=(\frac{25}{9},-\frac{5}{9} )$

Step-by-step explanation:

$\left \{ {{x+y=-x+5} \atop {-4y=-x+5}} \right.$

Simplify the expressions

$\left \{ {{2x+y=5} \atop {x-4y=5}} \right.$

Multiply both sides by -2

$\left \{ {{2x+y=5} \atop {-2x+8y=-10}} \right.$

Eliminate one variable by adding the equations

9y=-5

Divided both sides by 9

$y=-\frac{5}{9}$

Substitute the value of y into the equation

$2x-\frac{5}{9} =5$

Solve the equation

$x=\frac{25}{9}$

A possible solution is

$(x,y)=(\frac{25}{9} ,-\frac{5}{9} )$

If you need help with anything else just message me.

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