EXPLANATION = BRAINLIEST

x = ___ units

Step-by-step explanation:

It is given that lines (BE) and (CD) are parallel, thus (<AEB) and (EDC) are congruent by alternate interior angles theorem. Moreover, (<A) is shared between the two triangles, therefore it is also congruent. Hence, triangles (ABE) and (ACD) are similar by (angle-angle) similarity.

Side (AD) is composed of segments (AE) and (ED), therefore one can find the total measure of segment (AD):

AD = AE + ED

AD = 7x - 40 + 18

AD = 7x - 22

Side (AC) is made of segments (AB) and (BC), thus one can find the total length of the side (AC) by adding these two segments:

AC = AB + BC

AC = 63 + 7

AC = 70

When two triangles are similar, the ratios of the sides are equal. Therefore, one can make the following statement:

Substitute,

Cross products,

Distribute,

Inverse operations,

the answer   is 200

step-by-step explanation:

this is a problem about poisson probabilities.   i don't know if you've

already studied poisson distributions, or if you have a place to look

to read more about the subject.  

here's how you can see a poisson distribution coming.   when there are

a lot of events that may happen at any time (or any place), and when

you're counting how many of them happen at a particular time (or a

particular place), and each event is independent of the others, then

the result is a poisson distribution.   this is roughly true for the

chocolate chips; one chip being in a cookie has only a small effect on

the probability that another chip will be in the cookie.

once you know you have a poisson distribution, you know a lot.   there

is only one parameter to a poisson distribution, so if you know the

mean, you know everything.   the form of the distribution is

  probability of n chips = {[e^(-x)]*(x^n)} / (n! )