5x- 10 = 20
5x -10 +10 = 20 +10
5x = 30
5x/5 =30/5
x = 6
12+8k=48
=>8k=36
=>k=36/8
=>k=4.5
Angle AXD = angle CXB (vertically opposite angle)
then angle ADB = angle ABC
then angle DAB = angle BCD
I couldn't remember the name of the rule
I said that they are equal if you look at the curve AC and DB
They called them that two angles that subtended by the same mirror (arc)
lead them to be a similar angle (angle - angle - angle)
You can treat x and 2x+1 just as though they are real numbers.
So f(2x+1) = 3(2x+1) - 5 = 6x + 3 - 5 = 6x - 2
In the above, I made use of something called the distributive law which says that if a,b and c are real numbers, then a(b+c) = ab + ac.
Question 1.). Solve:
2 (x - 1 / 2) = 3 (5 - 2x)
Simplify both sides of equation:
2( x - 1 / 2 ) = 3(5 - 2x )
(2) (x) + (2) ( -1 / 2 ) = (3) (5) + (3) ( -2x )
Distribute:
2x + - 1 = 15 + -6x
2x - 1 = -6x + 15
Add 6x to both sides:
2x - 1 + 6x = -6x + 15 + 6x
8x - 1 = 15
Add 1 to both sides:
8x - 1 + 1 = 15 + 1
8x = 16
Divide both sides by 8:
8x / 8 = 16 / 8
Answer: 2 (x - 1 / 2) = 3 (5 - 2x) ==========> x = 2
Question 2.).
M =======> Amount Malik need
Solution: =========> m ≥ 5
Inequality ========> 8 + 7 + 10 + m ≥ 30
25 + m ≥ 30
Interpretation ==========> Malik needs at least, $5 .00 to get to, $30.00 or more.
Is the solution reasonable ===========> YES
Hope that helps!!!!! : )
