10(2x)+x
21x is the original number
12x is the reversed number
24x is the reversed then doubled number
Set up an equation:
24x=21x+9
3x=9
x=3
The original number is 63 and the reversed number is 36, which then is 72 when doubled.
The solution set is
![c \geq 5](https://tex.z-dn.net/?f=c%20%5Cgeq%205)
, meaning that all
![c](https://tex.z-dn.net/?f=c)
at least
![5](https://tex.z-dn.net/?f=5)
satisfy this constraint.
If
![c=5](https://tex.z-dn.net/?f=c%3D5)
, we have
![x < 5](https://tex.z-dn.net/?f=x%20%3C%205)
and
![x > 5](https://tex.z-dn.net/?f=x%20%3E%205)
, meaning
![x](https://tex.z-dn.net/?f=x)
has to be both greater than and less than
![5](https://tex.z-dn.net/?f=5)
, which is impossible. If
![c](https://tex.z-dn.net/?f=c)
is any greater,
![x > c > 5](https://tex.z-dn.net/?f=x%20%3E%20c%20%3E%205)
, so
![x](https://tex.z-dn.net/?f=x)
still must be greater and less than
![5](https://tex.z-dn.net/?f=5)
at the same time. So for all
![c \geq 5](https://tex.z-dn.net/?f=c%20%5Cgeq%205)
, the system
![x < 5, x > c](https://tex.z-dn.net/?f=x%20%3C%205%2C%20x%20%3E%20c)
has no solution.
Answer:
8x - 4y + 12
Step-by-step explanation:
-2(-4x + 2y - 6)
(-2)(-4x) + (-2)(2y) + (-2)(-6)
(2 * 4x) - (2 * 2y) + (2 * 6)
8x - 4y + 12
Step-by-step explanation:
If ∠1 and ∠2 are supplementary, then m∠1 + m∠2 = 180° (1).
If ∠2 and ∠3 are supplementary, then m∠2 + m∠3 = 180° (2).
From (1) we have
m∠1 + m∠2 = 180° /<em>subtract m∠1 from both sides</em>
m∠2 = 180° - m∠1
<em>substitute it to </em><em>(2)</em>
(180° - m∠1) + m∠3 = 180°
180° - m∠1 + m∠3 = 180° <em>/subtract 180° from both sides</em>
- m∠1 + m∠3 = 0 <em>/add m∠1 to both sides</em>
m∠3 = m∠1 ⇒ m∠1 = m∠3 ⇒ ∠1 ≅ ∠3