A rectangle has length 6 and height 4. Which of these would tell you that quadrilateral ABCD is definitely not similar to this rectangle? Select all that apply.

1) AB=BC

2) m∠ABC=105∘

3) AB=8

4) BC=8

5) BC=2⋅AB

Step-by-step explanation:

A rectangle has length 6 and height 4.

Which of these would tell you that quadrilateral ABCD is definitely not similar to this rectangle? Select all that apply.

1) AB=BC

2) m∠ABC=105∘

3) AB=8

4) BC=8

5) BC=2⋅AB

6) 2⋅AB=3⋅BC

A rectangle is a quadrilateral (has four sides). Opposite sides of a rectangle are equal to each other and the diagonals bisect each other. Also, each of the angles in rectangle measure 90°.

1) AB = BC

Opposite sides of a rectangle are equal, hence AB is opposite to CD and BC is opposite to AD. Therefore:

AB = CD, BC = AD

AB ≠ BC

2) m∠ABC = 105°

Each of the angles in a rectangle measure 90°, therefore m∠ABC = 90°. m∠ABC ≠ 105°

3) AB = 8

AB might be the length or height of the rectangle, hence:

AB = 6 or AB = 4. AB ≠ 8

4) BC = 8

BC might be the length or height of the rectangle, hence:

BC = 6 or BC = 4. BC ≠ 8

5) BC = 2AB

If BC is the height = 4, BC ≠ 2AB

6) 2AB = 3BC

If AB is the length of the rectangle and BC is the height of the rectangle then:

2(6) = 3(4)

12 = 12

2AB = 3BC

hope this !

step-by-step explanation:

d = distance between moon and sun, which in this problem is the hypotenuse of a right triangle.  

the distance y is the side opposite to angle x in the right triangle.   use the definition of the sine function from basic trigonometry.

sin(x) = y/d ⇒

d = y/sin(x)

853.3

step-by-step explanation: