Your answer would be 24, so you got it right.
This is because you need to find the lowest common multiple of 6 and 8, that is, the lowest number that divides by both 6 and 8.
We can do this by either writing out the multiples of 6 and 8 until you find a common one, or you can find the prime factors of 6 and 8 and multiply them:
6-> 3 × 2
8-> 2 × (4)->2 × 2
So we would need to do 3 × 2 × 2 × 2 = 3 × 8 = 24
I hope this helps!
Answer:
z = 6
Step-by-step explanation:
Answer:
Step-by-step explanation:
Begin
If this is a rhombus then <8 = 90 degrees as do all the central angles. That's because the diagonals intersect at right angles.
<4 = 38 z formation for parallel lines.
<7 = 52 The angles are part of a right angle triangle. <7 +38 = 90
<2 = 52 z formation of parallel lines (a rhombus has ll lines).
<3 = 38 The diagonals of a rhombus bisect each other.
<5 = 38 z formation for parallel lines.
<6 = 52 The diagonals of a rhombus are angle bisectors.
<1 = 52 The diagonals of a rhombus are angle bisectors.
△DEF is rotated about point N to △D′E′F′.
A rotation is a transformation that turns a figure about a fixed point called the center of rotation. In your case the center of rotation is point N. A rotation is an isometric transformation: the original figure and the image are congruent. Main properties of rotation:
1) A rotation preserves lengths of segments.
2) A rotation preserves degrees of angles.
3) A rotation maps a line to a line, a ray to a ray, a segment to a segment, and an angle to an angle.
Therefore, option C is true (because the original figure and the image are congruent) and option D is false (because the original figure and the image must be congruent).
All corresponding points on the image and pre-image are equidistant to point N. This option is true (because rotation preserves lengths of segments), thus, DN≅D'N'.
