Ted is constructing an equilateral triangle. He draws a segment with his straightedge and labels the endpoints A and B. He then puts the compass point on A, opens the compass until the pencil point is on B, and draws a circle. Which move is a correct next step for Ted?

Keep the same compass opening, place the compass point on B, and draw a circle.

Shorten the compass opening, place the compass point on B, and draw two arcs that intersect the circle.

Keep the same compass opening, place the compass at the midpoint of the segment, and draw a circle.

Widen the compass opening, place the compass point on B, and draw a circle.

Step-by-step explanation:

Keep the same compass opening, place the compass point on B, and draw a circle.

£56

step-by-step explanation:

u divide 24 by 3 and u get 8 so if u do 8 time 7 or 8+8+8+8+8+8+8 u get 56 and 56 divided by 7 is 8.

85.560%

step-by-step explanation:

conditional probability is defined as:

p(a|b) = p(a∩b) / p(b)

in other words, the probability that a occurs, given that b has occurred = the probability that both a and b occur / the probability that b occurs.

in this example:

p(turns 64 | turns 44) = p(turns 64 & turns 44) / p(turns 44).

if someone turns 64, they must have already turned 44, so:

p(turns 64 | turns 44) = p(turns 64) / p(turns 44)

on page 42, we see that of the original 100,000, 94944 turn 44, and 81234 turn 64.   therefore:

p(turns 64 | turns 44) = 81234 / 94944

p(turns 64 | turns 44) = 0.85560