Step-by-step explanation:
AC ≅ EF, given
AB ≅ ED, given
∠C ≅ ∠F, right angles are congruent
ΔABC ≅ ΔEDF, SSA congruence
BC ≅ DF, corresponding parts of congruent triangles are congruent
Answer:
ITS 2/9 i did it on Apex
Step-by-step explanation:
first read the question
next look at my answer
last click next and it will say correct
(your welcome)
Answer:
4.9*10^9
Step-by-step explanation:
the point will go from right to left and every number the point skip the power is increased by 1 until it cover in this problem 9 skips and the power 9 is the final power
Answer:
![x=\frac{1}{4}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B1%7D%7B4%7D)
![y=-2](https://tex.z-dn.net/?f=y%3D-2)
Step-by-step explanation:
Given:
![8x + y = 0](https://tex.z-dn.net/?f=8x%20%2B%20y%20%3D%200)
![4x-y=3](https://tex.z-dn.net/?f=4x-y%3D3)
Convert your equation into matrices form
![\begin{bmatrix}8&1&0\\4&-1&3\end{bmatrix}](https://tex.z-dn.net/?f=%5Cbegin%7Bbmatrix%7D8%261%260%5C%5C4%26-1%263%5Cend%7Bbmatrix%7D)
Solve using reduced row reduction (RREF)
![\begin{bmatrix}8&1&0\\4&-1&3\end{bmatrix}](https://tex.z-dn.net/?f=%5Cbegin%7Bbmatrix%7D8%261%260%5C%5C4%26-1%263%5Cend%7Bbmatrix%7D)
![\begin{bmatrix}8&1&0\\8&-2&6\end{bmatrix}](https://tex.z-dn.net/?f=%5Cbegin%7Bbmatrix%7D8%261%260%5C%5C8%26-2%266%5Cend%7Bbmatrix%7D)
![\begin{bmatrix}8&1&0\\0&-3&6\end{bmatrix}](https://tex.z-dn.net/?f=%5Cbegin%7Bbmatrix%7D8%261%260%5C%5C0%26-3%266%5Cend%7Bbmatrix%7D)
![\begin{bmatrix}8&1&0\\0&-1&2\end{bmatrix}](https://tex.z-dn.net/?f=%5Cbegin%7Bbmatrix%7D8%261%260%5C%5C0%26-1%262%5Cend%7Bbmatrix%7D)
![\begin{bmatrix}8&0&2\\0&-1&2\end{bmatrix}](https://tex.z-dn.net/?f=%5Cbegin%7Bbmatrix%7D8%260%262%5C%5C0%26-1%262%5Cend%7Bbmatrix%7D)
![\begin{bmatrix}1&0&\frac{2}{8}\\0&1&-2\end{bmatrix}](https://tex.z-dn.net/?f=%5Cbegin%7Bbmatrix%7D1%260%26%5Cfrac%7B2%7D%7B8%7D%5C%5C0%261%26-2%5Cend%7Bbmatrix%7D)
![\begin{bmatrix}1&0&\frac{1}{4}\\0&1&-2\end{bmatrix}](https://tex.z-dn.net/?f=%5Cbegin%7Bbmatrix%7D1%260%26%5Cfrac%7B1%7D%7B4%7D%5C%5C0%261%26-2%5Cend%7Bbmatrix%7D)
![x=\frac{1}{4}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B1%7D%7B4%7D)
![y=-2](https://tex.z-dn.net/?f=y%3D-2)
Answer:
Total number of choices with a straw: 12
Total number of choices without a straw: 12
Total number of choices: 24
Step-by-step explanation:
Taj has a choice of:
- water, iced tea, or lemonade (3 options)
- with lemon or lime twist (2 options)
- served in a small or large glass (2 options)
This made a total of 3*2*2: 12 different choices
if the drink can be served with or without a straw, he choices are doubled, making a total of 2*12 = 24