Question

Emily counts the triangles and parallelograms in an art piece and determines that in

Answer 1

Answer:

There are 18 triangles and 24 parallelograms.

Step-by-step explanation:

Let the number of Triangles be x

and number of Parallelograms be y

By given data;

There are together 42 triangles and parallelogram

$x+y=42\\x=42-y$

Also there are 150 total sides,

Now we know that triangle have 3 side and parallelogram consist of 4 sides.

Hence the equation will become:$3x+4y =150$

Now substituting value of x in above equation we get;

$3(42-y)+4y=150\\126-3y+4y=150\\y=150-126=24$

Hence $x=42-y=42-24=18$

Hence, there are 18 triangles and 24 parallelograms.