Answer:
DU = 86
Step-by-step explanation:
Properties of a rectangle,
- Opposite sides are equal in measure.
- Diagonals of a rectangle are equal.
- Diagonals bisect each other.
In the given rectangle QUAD,
Diagonals AQ and DU bisect each other at P.
AQ = DU
2(QP) = DU [Since, AQ = 2(PQ)]
2(2x + 7) = 5x - 4
4x + 14 = 5x - 4
5x - 4x = 14 + 4
x = 18
Since, DU = 5x - 4
DU = 5(18) - 4
= 90 - 4
= 86
Therefore, measure of DU = 86 units
Answer:
The answer would be 1 ft 9 in
Step-by-step explanation:
Answer:
The 2nd and 3rd boxes are right, that is :-
* 2b is a term
and
* 9 is a constant
Given:
6 male professores
9 female professores
5 male teaching assistants
6 female teaching assistants
Sol:.
![N(A\text{ or B)=N(A)+N(B)-N(A and B)}](https://tex.z-dn.net/?f=N%28A%5Ctext%7B%20or%20B%29%3DN%28A%29%2BN%28B%29-N%28A%20and%20B%29%7D)
N (professors)
![\begin{gathered} =6+9 \\ =15 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%3D6%2B9%20%5C%5C%20%3D15%20%5Cend%7Bgathered%7D)
N(Male)
![\begin{gathered} =6+5 \\ =11 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%3D6%2B5%20%5C%5C%20%3D11%20%5Cend%7Bgathered%7D)
N(professors and male)
![=6](https://tex.z-dn.net/?f=%3D6)
N(professors OR male) = N(professors) + N(males) -N(professor OR male)
![\begin{gathered} N(\text{ Professors OR male)=15+11-6} \\ =20 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20N%28%5Ctext%7B%20Professors%20OR%20male%29%3D15%2B11-6%7D%20%5C%5C%20%3D20%20%5Cend%7Bgathered%7D)
N(People to choose from)
![\begin{gathered} =6+9+5+6 \\ =26 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%3D6%2B9%2B5%2B6%20%5C%5C%20%3D26%20%5Cend%7Bgathered%7D)
Then probablitiy is:
![\begin{gathered} =\frac{20}{26} \\ =\frac{10}{13} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%3D%5Cfrac%7B20%7D%7B26%7D%20%5C%5C%20%3D%5Cfrac%7B10%7D%7B13%7D%20%5Cend%7Bgathered%7D)
Then the probability is 10/13