Answer:
65 degrees, because vertical angles are always congruent.
Step-by-step explanation:
domain = [-3 , 1)
range = [-5 , 4]
have a nice day
and this shape ( and that [ matters so be careful.
Answer:
x=65
Step-by-step explanation:
x-5=60
Add 5 to both sides
x=65
Answer:
$45.15
Step-by-step explanation:
When you are dealing with questions with percents in them—like this one—you have to turn the percent into a decimal. To make 7.5% into a decimal, you move the decimal point 2 spaces to the left. So, 7.5% is also 0.075.
Now, we have to use this formula for these types of questions:
x + x(y)= the price with tax (or markup)
So, we can substitute the variables.
42+42(0.075)=the retail price
42(0.075)=3.15
42+3.15=45.15
So, the retail price will be $45.15
If you have multiple equations with multiple variables, you can either do clever substitutions, or turn it into a matrix on which you can perform linear combinations or multiplications (Gauss elimination)
1 1 1 1
2 1 -1 8
1 -1 1 -5
(note how the above 3 rows represent the 3 equations, just got rid of the variables, plus sign and equals sign)
subtract row1 from row3, that eliminates x and z from row 3.
1 1 1 1
2 1 -1 8
0 -2 0 -6
divide row3 by -2, that will give y a factor of 1
1 1 1 1
2 1 -1 8
0 1 0 3
The last row now says y=3
