Answer: x=26
Step-by-step explanation:
1. Write the equation 2x-5+4x-1+30=180 because all triangle angles add up to 180°
2. Simplify the equation by combining like terms. Write the equation as 6x+24=180
3. Subtract 24 from both sides. Write the equation as 6x=156.
4. Divide 156/6 and get 26. That is your answer (x=26).
6x + 45 + 3x = 180
9x - 45 = 180
9x = 135
x = 15
In the given problem there are several known and important facts to take note of. Firstly the restaurant bill without tax and tips is $28.35. Then the tax of 6.25% needs to be added with the bill. Also a tip of 20% on the original bill needs to be added to find the total cost.
Then tax on the restaurant bill = (6.25/100) * 28.35
= 1.77
So the tax on the restaurant bill is $1.77
Amount of tips given = 28.35 * (20/100)
= 5.67
Amount of tips paid is $5.67
Total cost paid in the restaurant = ( 28.35 + 1.77 + 5.67) dollars
= 35.79 dollars
A rectangle has four sides, two equal to the width and two equal to the length. So, the perimeter is

If we know that the width is 5, and the perimeter is 125, we have

In your case, the unkown is called x, but the concept is the same:

where x is the length of the rectangle.