Answer:
x2 = 60
Step-by-step explanation:
If the variables x and y are inversely proportional, the product x * y is a constant.
So using x1 and y1 we can find the value of this constant:
Now, we can use the same constant to find x2:
So the value of x2 is 60.
AD = BC ----> Parallel lines
AC = AC -----> Reflexive property
<A = <C -----> Congruent angles
<D = <B -----> Congruent angles
<span>1. </span>The probability that one of the diners orders fish = number of diners who ordered fish / total number of diners
p1=45/100=0.45
<span>2. </span>The probability that one of the diners is wearing dress= number of diners wearing dress/ total number of diners
<span>3. </span>p2=14/100=0.14
<span>The probability that one of the diners ordered the fish or is wearing a dress is: p=0.45+0.14=0.59</span>
The slope of this line is -3/4
In order to find this, we look for two points on the line and then use the slope formula. Two points that are on the line are (0, 2) and (4, -1). Plug these into the following formula.
m (slope) = (y2 - y1)/(x2 - x1)
m = (-1 - 2)/(4 - 0)
m = -3/4
We first need to factorize (if possible) the denominators:
we can see that
as 2 and 5 are two numbers whose sum is 7 and product is 10.
Similarly, we can see that
as 2 and 3 are two numbers whose sum is 5 and product is 6.
Thus, the expression is:
.
Now to make the denominators equal, but to also keep them as small as possible, the common denominator must be (p+3)(p+2)(p+5).
Answer: (p+3)(p+2)(p+5).
