Answer:
16
Step-by-step explanation:i took the edge assignment
Answer:
There are a total of 4 + r + 6 marbles in the bag
The probability of a blue is
The probability of a red is
The probability of choosing a blue, replacing it and then a red is
×
= [tex]\frac{4r}{100+20r+ r^{2} /[tex]
Step-by-step explanation:
Since ABCD is a parallelogram, the opposite sides will be parallel and equal,
![\begin{gathered} AB=CD \\ BC=AD \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20AB%3DCD%20%5C%5C%20BC%3DAD%20%5Cend%7Bgathered%7D)
Consider that AC acts as a transversal to the parallel lines AB and CD, so we can write,
![\begin{gathered} \angle CAD=\angle ACB\text{ (Alternate Interior Angles)} \\ BC=AD\text{ (Opposite sides of parallelogram)} \\ \angle ADB=\angle CBD\text{ (Alternate Interior Angles)} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Cangle%20CAD%3D%5Cangle%20ACB%5Ctext%7B%20%28Alternate%20Interior%20Angles%29%7D%20%5C%5C%20BC%3DAD%5Ctext%7B%20%28Opposite%20sides%20of%20parallelogram%29%7D%20%5C%5C%20%5Cangle%20ADB%3D%5Cangle%20CBD%5Ctext%7B%20%28Alternate%20Interior%20Angles%29%7D%20%5Cend%7Bgathered%7D)
So by the ASA criteria, the triangle AED is congruent to the triangle CEB,
Then the corresponding parts of the triangles will be equal,
![\begin{gathered} AE=CE \\ BE=DE \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20AE%3DCE%20%5C%5C%20BE%3DDE%20%5Cend%7Bgathered%7D)
Hence Proved.
If you would like to solve the equation 3 * (3 * x - 1) + 2 * (3 - x) = 0, you can calculate this using the following steps:
3 * (3 * x - 1) + 2 * (3 - x) = 0
3 * 3 * x - 3 * 1 + 2 * 3 - 2 * x = 0
9 * x - 3 + 6 - 2 * x = 0
7 * x + 3 = 0
7 * x = - 3 /7
x = - 3/7
The correct result would be - 3/7.