Answer:
-12
Step-by-step explanation:
So to start we need to know what makes a line parallel. In an equation we know that for lines to be parallel they must have the same slope(m).
Then, we need to know the slope-intercept form of an equation. The slope intercept form is 
where 
is the slope of the line and 
is the y-intercept. In this problem where can see the second equation is already in this form.
Now that we know we need to find the slope, and we know that the second equation is in slope-intercept form we're going to convert the fist equation into the correct form.
To do this, we know we need to make sure 
is the only thing on the left side of the equal sign. Currently, on the left side of the equal sign we have 
so we have to divide both sides by 
to get 
Now that we have it converted to slope-intercept form, we are going to look for what represents the slope or in the equation. In this case the slope would be -12, so any line with a slope of -12 will be parallel.
Answer:
Biography= 8/24= 1/3
Science Fiction= 6/24= 1/4
Step-by-step explanation:
The probability for biography is (biography/total amount of books.)
8/24= 1/3
The probability for science fiction is (science fiction/ total amount of books.)
6/24= 1/4
Answer:
Step-by-step explanation:
Collect the like terms!
x-9x+8x+3-3
Now simplify,
-8x+8x+0
0+0
Answer = 0
Answer:
The answer is 14.
Step-by-step explanation:
4.50 + 2.00x ≤ 32.50
32.50 - 4.50 = 28
28 / 2.00 = 14
The total number of tickets he can buy is 14.
Answer:
A. Yes, the triangles are congruent by SAS.
Step-by-step explanation:
EF = FG and DF = FH-> Given
angle EFD = angle HFG -> Vertical angles are congruent
DE F = HGF -> SAS Triangle Congruence Theorem
