PLEASE NO LINKS, Find the measurement in parallelogram.
Need help, please.
I also need explanation.

21.) x = 0

23.) x = 0

Step-by-step explanation:

21.)

We know that Sides AD and BC are parallel to each other, so they are congruent as well, thus we can say:

x + 12 = 12

=> Now just subtract 12 on each side of "="

x = 0

23.)

We know that sides SV and TU are parallel which makes them congruent, hence;

12 + 2x = x + 12

=> First subtract x from each side,

12 + x = 12

=> Lastly subtract 12 on each side:

x = 0

Hope this helps!

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq

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