The value of x from the solution is x > 6
<h3>What are inequalities?</h3>
Inequalities are defined as mathematical expression showing that both sides are not equivalent or equal to each other.
It is known for the comparison of two values, showing that one is less than, greater than, or not equal to another value.
The symbols for inequality are ;
- < is the 'less than' symbol
- > is the 'greater than' symbol
- ≤ is the 'less than or equal to'
- ≥ is the 'greater than or equal to'
Given the inequality;
8x – 6 > 12 + 2x
collect like terms
8x - 2x > 12 + 6
add or subtract like terms
6x > 18
Make 'x' the subject of formula
x > 18/6
x > 6
Thus, the value of x from the solution is x > 6
Learn more about inequality here:
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Answer:
She was probably mad since you got brainiest for it.
Answer:
6
Step-by-step explanation:
Therefore,
Answer:
x = 10
y = 5
Angle 1: 80 degrees
Angle 2: 45 degrees
Angle 3: 100 degrees
Angle 4: 35 degrees
Angle 5: 35 degrees
Angle 6: 45 degrees
Angle 7: 100 degrees
Step-by-step explanation:
Since we know angle 1 is equal to 80, we can say that angle 7 is 100, since a line makes 180 degrees. Because of the congruence statements, we can assume angle 3 is also 100 degrees. That means, that out of the 360 degrees that make up a 4 sided shape, we are left with 160. Those 160 are shared with angles 2,4,5 and 6.
To find these, we need to find 5 and 6. But we need to find x before we can solve for those. So take the equations from 5 and 6 to solve for x.
(3x+5)+(5x-5)+100=180
(3x+5)+(5x-5)=80
8x=80
x=10
Now plug x in to solve for angle 5 and 6
3(10)+5 = 35. Angle 5
5(10)-5 = 45. Angle 6
Now, because we know that there are only 160 degrees left to share between angles 2,4,5,6 we can say that angles 2+5=80 and 4+6=80. We already figures out what angle 5 and 6 are, so just substitute and solve.
(angle 2)+35 = 80
(angle 2) = 45 degrees
(angle 4)+45 = 80
(angle 4) = 35 degrees
To solve for y, set angle 7 equal to 100 degrees:
100 = y^2 + 15y
100 = y(y+15)
y = 5
You can take the -1 times the final answer and keep the denominator as positive, or keep track of all the negatives.