Given:
A figure.
and 
To find:
What kind of figure and the value of x
Solution:
All four sides are congruent.
Diagonals bisect each other.
There the given figure is rhombus.
Diagonals bisect the angles.
⇒ 
Subtract 3 on both sides.
Subtract 6x from both sides.
Divide by 3 on both sides.
The value of x is 
.
Answer:
s = 10w
Step-by-step explanation:
We can find the equation in <u>slope-intercept form</u> which is y = mx + b. The variables mean:
"b" - for the y-intercept (where the graph hits the y-axis)
"m" - for the slope (how steep the line is)
"x" and "y" - coordinates that satisfy the equation (points on the line)
From the graph, we can see that the y-intercept is 0. b = 0, therefore we do not need to write it in the equation.
To find the slope, "m", use the equation 
. To use it, substitute the coordinates for two points. Using the diagram, choose a point 1 and a point 2.
Point 1 (0, 0) x₁ = 0 y₁ = 0
Point 2 (1, 10) x₂ = 1 y₂ = 10
Substitute values
Subtract to simplify
Simplify the fraction
m = 10 Slope of the line
Since we know "m" and "b", we can write the equation:
y = mx + b
y = 10x + 0
y = 10x
We are not using "x" and "y" in this case. Change them according to the question.
x => w
y => s
y = 10x => s = 10w
13, 21, 34 are the next three numbers
Answer:
a. The probability that a customer purchase none of these items is 0.49
b. The probability that a customer purchase exactly 1 of these items would be of 0.28
Step-by-step explanation:
a. In order to calculate the probability that a customer purchase none of these items we would have to make the following:
let A represents suit
B represents shirt
C represents tie
P(A) = 0.22
P(B) = 0.30
P(C) = 0.28
P(A∩B) = 0.11
P(C∩B) = 0.10
P(A∩C) = 0.14
P(A∩B∩C) = 0.06
Therefore, the probability that a customer purchase none of these items we would have to calculate the following:
1 - P(A∪B∪C)
P(A∪B∪C) =P(A) + P(B) + P(C) − P(A ∩ B) − P(A ∩ C) − P(B ∩ C) + P(A ∩ B ∩ C)
= 0.22+0.28+0.30-0.11-0.10-0.14+0.06
= 0.51
Hence, 1 - P(A∪B∪C) = 1-0.51 = 0.49
The probability that a customer purchase none of these items is 0.49
b.To calculate the probability that a customer purchase exactly 1 of these items we would have to make the following calculation:
= P(A∪B∪C) - ( P(A∩B) +P(C∩B) +P(A∩C) - 2 P(A ∩ B ∩ C))
=0.51 -0.23 = 0.28
The probability that a customer purchase exactly 1 of these items would be of 0.28
Answer:
-56
Step-by-step explanation:
Formula to get determinant is::
![\left[\begin{array}{ccc}a&b\\c&d\end{array}\right] = ad-bc](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Da%26b%5C%5Cc%26d%5Cend%7Barray%7D%5Cright%5D%20%3D%20ad-bc)
0(0)-8(7)
0 - 56
-56
