Answer:
y=5
Step-by-step explanation:
Answer:
no, the constant n is not divisible by (x-4)
Answer: The length of AC is 18 ft.
Step-by-step explanation:
By the given diagram,
AM = MB and CN = NB
M and N are the mid points of the sides AB and CB respectively,
Thus, by the mid point theorem,
MN ║ AC,
By the alternative interior angle theorem,
∠BMN ≅ ∠BAC
∠BNM ≅ ∠BCA
Thus, by AA similarity postulate,
ΔBMN ≅ ΔBAC
By the property of similar triangles,
![\frac{BM}{BA}=\frac{MN}{AC}](https://tex.z-dn.net/?f=%5Cfrac%7BBM%7D%7BBA%7D%3D%5Cfrac%7BMN%7D%7BAC%7D)
![\frac{BM}{BM+MA}=\frac{MN}{AC}](https://tex.z-dn.net/?f=%5Cfrac%7BBM%7D%7BBM%2BMA%7D%3D%5Cfrac%7BMN%7D%7BAC%7D)
![\frac{4}{4+4}=\frac{9}{AC}](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B4%2B4%7D%3D%5Cfrac%7B9%7D%7BAC%7D)
![\frac{4}{8}=\frac{9}{AC}](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B8%7D%3D%5Cfrac%7B9%7D%7BAC%7D)
![4AC=72\implies AC = 18\text{ ft}](https://tex.z-dn.net/?f=4AC%3D72%5Cimplies%20AC%20%3D%2018%5Ctext%7B%20ft%7D)
Thus, The length of AC is 18 ft.
17+30=47
47=47
That is the associative property of addition
Step-by-step explanation:
x+3=8
8-5=3 so x=5
7+5=12 / 12-7=5
12-5=7