A conjecture and the paragraph proof used to prove the conjecture are shown. Given: RSTU is a parallelogram
<1 and 3 are complementary
Prove: 2 and 23 are complementary
Drag an expression or phrase to each box to complete the proof
It is given that RSTU is a parallelogram, s0 RU ST by the definition of parallelogram. Therefore, 4922 by the alterate
antener angles theorem and mA =m_2 by the
It is also given that A and 23 are
complementary, so mA +m_3 = 90° by the
By substitution, m_2+
1 = 90
and so _2 and
are complementary by the definition of complementary

yes

step-by-step explanation:

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

3

step-by-step explanation:

divide 13.5 by 9 to get the scale factor. it equals 1.5

2 * 1.5 = 3

answer: c.  

step-by-step explanation:

mixtures containing substances that get attracted to magnet can be separated using a magnet. we can separate iron from a mixture of sand and iron, as only iron attracts to the magnet.