Answer:
20
Step-by-step explanation:
3x+50 = 6x-10( opposite angles are equal)
3x = 60
x = 20
Answer:
28meters and 112meters
Step-by-step explanation:
one piece is x
the other is 4x
therefore; 4x+x=140
5x= 140
divide both sides by 5
x=28
4x=4(28)
=112
Answer:
5, 7, 9
Step-by-step explanation:
Using the information given we get:



<em>Add 7 to both sides</em>

<em>Subtract 2x from both sides</em>

<em>Divide both sides by 3</em>

Using these equations:

and

We get:

Answer:
what do you need help with
Step-by-step explanation:
Answer:
The solution of the inequation
is
.
Step-by-step explanation:
First of all, let simplify and factorize the resulting polynomial:



Roots are found by Quadratic Formula:
![r_{1,2} = \frac{\left[-\left(-\frac{11}{6}\right)\pm \sqrt{\left(-\frac{11}{6} \right)^{2}-4\cdot (1)\cdot \left(-\frac{10}{6} \right)} \right]}{2\cdot (1)}](https://tex.z-dn.net/?f=r_%7B1%2C2%7D%20%3D%20%5Cfrac%7B%5Cleft%5B-%5Cleft%28-%5Cfrac%7B11%7D%7B6%7D%5Cright%29%5Cpm%20%5Csqrt%7B%5Cleft%28-%5Cfrac%7B11%7D%7B6%7D%20%5Cright%29%5E%7B2%7D-4%5Ccdot%20%281%29%5Ccdot%20%5Cleft%28-%5Cfrac%7B10%7D%7B6%7D%20%5Cright%29%7D%20%5Cright%5D%7D%7B2%5Ccdot%20%281%29%7D)
and 
Then, the factorized form of the inequation is:

By Real Algebra, there are two condition that fulfill the inequation:
a) 


b) 


The solution of the inequation
is
.