Answer:
ab<6 units
Step-by-step explanation:
One of the basic property of any triangle is that the sum of the length of any two sides of a triangle is always greater than the length of the third side.
Here we are given a triangle abc, in whicn bc=4
ac= 8-ab
If have to make some conclusion about ab.
As per the property discussed above
ab<ac+bc
ab<8-ab+4
2ab<12
ab<6
Hence the length of ab must be less than 6 units
Answer:
The correct answer should be $432.22
Answer:
10
Step-by-step explanation:
The sum of all the interior angles of a pentagon is 540°
So...
540 = 12x + 7x + 16x+ 9x + 10x
Combine like terms:
540 = 12x + 7x + 16x+ 9x + 10x
540 = 54x
Divide by 54 on both sides:
540 = 54x
/54 /54
10 = x
Hope this helps :)
Now
Now
Probability of not selecting gray =12/14
Now
But pink is in 5
Answer:
y=-5
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
The diagonals of a rectangle are equal and bisect each other
so
![DP=BP](https://tex.z-dn.net/?f=DP%3DBP)
step 1
Find the value of x
substitute the given values
![(-9x+19)=\frac{1}{2} (-x+21)](https://tex.z-dn.net/?f=%28-9x%2B19%29%3D%5Cfrac%7B1%7D%7B2%7D%20%28-x%2B21%29)
solve for x
Multiply by 2 both sides
![-18x+38=-x+21](https://tex.z-dn.net/?f=-18x%2B38%3D-x%2B21)
![18x-x=38-21\\17x=17\\x=1](https://tex.z-dn.net/?f=18x-x%3D38-21%5C%5C17x%3D17%5C%5Cx%3D1)
step 2
Find the value of y
![DP=BP](https://tex.z-dn.net/?f=DP%3DBP)
we have
![BP=-9x+19](https://tex.z-dn.net/?f=BP%3D-9x%2B19)
![DP=-y+5](https://tex.z-dn.net/?f=DP%3D-y%2B5)
substitute
![-y+5=-9x+19](https://tex.z-dn.net/?f=-y%2B5%3D-9x%2B19)
substitute the value of x
![-y+5=-9(1)+19\\-y+5=10\\y=5-10\\y=-5](https://tex.z-dn.net/?f=-y%2B5%3D-9%281%29%2B19%5C%5C-y%2B5%3D10%5C%5Cy%3D5-10%5C%5Cy%3D-5)