Answer:
Step-by-step explanation:
two angles are said to be supplementary if their sum is 180 degrees
Hence <1 + <2 = 180
Given
<1 = 28
Required
<2
Substitute into the formula
28+<2 =180
<2 = 180-28
<2= 152
Hence the measure of <2 is 152 degrees
Answer:
12
Step-by-step explanation:
we can setup an equation and solve for x: 500-25x = 200, where x stands for the number of weeks she withdraws money.
subtract 500 from both sides to get -25x = -300.
multiply each side by -1 to get 25x = 300
divide each side by 25 to get that x = 12
Derivatives galore. Don't forget you might need to split the function because of the absolute value.
Let the two numbers be x and y, with y being larger than x.
Then y=3x+1.
Also, 8x-2y= 10.
The first equation has already been solved for y. Substitute 3x+1 for y in the second equation:
8x-2(3x+1)=10, or 8x - 6x - 2 = 10, or 2x = 12 and x = 6.
If x = 6, then by the first equation y must be 3(6)+1, or 19.
The numbers are 6 and 19.
