To answer this problem, you should just substitute some figures in order to get the required amount.
So, let a be the amount of 10% iodide solution
So...
4 (3) + 10a = 6 (3+a)
[4 represents the silver iodine solution, the 3 is the liters, while we are looking for the 6% solution]
12 + 10a = 18 + 6a
10a - 6a = 18 - 12
4a = 6
a = 6/4
a = 3/2
So you will need 3/2 or 1.5 liters of 10% iodide solution.
Since < ABD is a right triangle (with a measure of 90 °), we can establish the formula to solve for the value of x:
Let < BAC = m < 1 = (15x - 2)°
< CAD = m < 2 = (7x + 4)°
Use the formula:
m < 1 + m < 2 = 90°
Substitute the values of m < 1 and 2:
15x - 2 + 7x + 4 = 90°
Combine like terms:
22x + 2 = 90°
Subtract 2 from both sides:
22x + 2 - 2 = 90° - 2
22x = 88°
Divide both sides by 22:
22x/22 = 88/22
x = 4
Now that we have the value of x, we can plug this value into the given angles:
< BAC = m < 1 = (15x - 2)° = 15(4) - 2 = 58°
< CAD = m < 2 = (7x + 4)° = 7(4) + 4 = 32°
m < 1 + m < 2 = 90°
58° + 32° = 90°
90° = 90° (true statement).
Therefore, (15x - 2)° = 58° and (7x + 4)° = 32°.
Please mark my answers as the Brainliest if you find my explanations helpful :)
Step-by-step explanation:
A: Andrew has 45 bricks and he uses 1/3 of them to build his house. He then divides the amount of bricks he has by 1/6 for his friend to have to build his shed. He all together needs to buy 272 bricks.
B:I honest to God don't know what that would be
C:45 is the number of bricks Andrew currently has. He only needs 1/3 of them and he needs 1/6 of that for his friend
M is equal to y minus c over x