Answer:
![\frac{BE}{EC} =\frac{1}{3}](https://tex.z-dn.net/?f=%5Cfrac%7BBE%7D%7BEC%7D%20%3D%5Cfrac%7B1%7D%7B3%7D)
Step-by-step explanation:
In the diagram below we have
ABCD is a parallelogram. K is the point on diagonal BD, such that
![\frac{BK}{CK} =\frac{1}{4}](https://tex.z-dn.net/?f=%5Cfrac%7BBK%7D%7BCK%7D%20%3D%5Cfrac%7B1%7D%7B4%7D)
And AK meets BC at E
now in Δ AKD and Δ BKE
∠AKD =∠BKE ( vertically opposite angles are equal)
since BC ║ AD and BD is transversal
∠ADK = ∠KBE ( alternate interior angles are equal )
By angle angle (AA) similarity theorem
Δ ADK and Δ EBK are similar
so we have
![\frac{AD}{BE} =\frac{DK}{BK}](https://tex.z-dn.net/?f=%5Cfrac%7BAD%7D%7BBE%7D%20%3D%5Cfrac%7BDK%7D%7BBK%7D)
![\frac{AD}{BE} =\frac{4}{1}](https://tex.z-dn.net/?f=%5Cfrac%7BAD%7D%7BBE%7D%20%3D%5Cfrac%7B4%7D%7B1%7D)
( ABCD is parallelogram so AD=BC)
( BC= BE+EC)
![\frac{BE}{BE} +\frac{EC}{BE}=\frac{4}{1}](https://tex.z-dn.net/?f=%5Cfrac%7BBE%7D%7BBE%7D%20%2B%5Cfrac%7BEC%7D%7BBE%7D%3D%5Cfrac%7B4%7D%7B1%7D)
![1+\frac{EC}{BE}=4](https://tex.z-dn.net/?f=1%2B%5Cfrac%7BEC%7D%7BBE%7D%3D4)
( subtracting 1 from both side )
![\frac{EC}{BE}=\frac{3}{1}](https://tex.z-dn.net/?f=%5Cfrac%7BEC%7D%7BBE%7D%3D%5Cfrac%7B3%7D%7B1%7D)
taking reciprocal both side
![\frac{BE}{EC} =\frac{1}{3}](https://tex.z-dn.net/?f=%5Cfrac%7BBE%7D%7BEC%7D%20%3D%5Cfrac%7B1%7D%7B3%7D)
Answer:
It’s already in expanded form.
Step-by-step explanation:
The original number is 54,025.
Expanded form is when you kind of “take apart” a number. You basically break it apart.
Example: Write 24,382 in expanded form.
Correct way: 20,000 + 4,000 + 300 + 80 + 2
Incorrect way: 2 + 4 + 3 + 8 + 2 (that would equal 19, which is way off from 24,382).
I hope this helps, let me know if you have any questions!
Answer: Juan bought 5 pieces of molding
Step-by-step explanation: 1 meter= 100 centimeters, 100x2.5= 250, 250/50= 5
For the first one the slope is 0.5
For the second one the slope is -1.7
Answer:
Step-by-step explanation:
2 2/9? maybe because 1/8 is 6 times bigger than 1/2, so if you add 6 to 2 2/3 it would be 2 2/9?