Draw two rectangles. The first has length 6 and width 9. The second has length 3x and width 9. Write at least three different expressions for the sum of the areas of the rectangles.

(1)

And using factorization  (common factor) we can do this:

(2)

(3)

Step-by-step explanation:

In the figure attached we see the two triangles required one with a length of 6 and a width of 9 and the other with a length of 3x and width of 9.

For the first rectangle we know that the area can be founded with this formula:

And for the second rectangle the area can be founded similar like this:

And since we are interested in the sum of the two areas we have this:

We need a 3 different expression for the sum of the areas so we can do this:

(1)

And using factorization (common factor)  we can do this:

(2)

(3)

answer

a,b, and d

explanation

a reflection angle is more than

but less than;

an angle that measures

is a reflex angle.(true)

an angle that measures less than

is acute.(true)

provided we are considering angles greater or equal to zero.

an acute angle lies in the range.

an obtuse angle is less than 180° but more than 90°

an angle that measures 300° is obtuse (false)

an angle that measures 65° is an acute angle.(true)