X/8 - 10 = x/3
bring the values with the variable on one side
x/3 - x/8 = 10
find a common denominator and subtract these fractions
8x/24 - 3x/24 = -10
now subtract fractions
8x - 3x = 5x
5x/24 = -10
multiply both sides by 24
5x = -240
divide both sides by 5
x = -48
the number is -48
Answer:
11
Step-by-step explanation:
(Note that the diagram is not to scale)
You know BC is 6
You know DC is 5
You know CE is 12
Using K's position, it shows that AC is one off from EC
AC=11
Answer:
B. 60°
Step-by-step explanation:
1. The measure of all angles in a triangle sum up to 180°. This means that y + y + 60 = 120.
2. (Solving)
Step 1: Simplify both sides of the equation.
Step 2: Subtract 60 from both sides.
Step 3: Divide both sides by 2.
Step 4: Check if solution is correct.
Therefore, the answer is B. 60°.
Answer:
A. (x, y) -> (0.2x, 0.2y)
Step-by-step explanation:
I'll test this out with just point S if that's fine.
Point S's coordinates are (5, -5), as seen on the coordinate plane.
However, Point S' has coordinates of (1, -1).
Divide 1 by 5 to get 1/5. You can also do -1/-5 to also get 1/5 (Remember, dividing two negatives gets you a positive.).
So you can conclude that the dilation has the x and y coordinates shrinking to 1/5 of the original. Both coordinates shrink at the same rate, so B and C are out. The figure is NOT getting bigger so D is also incorrect. This leaves A ((x, y) -> (0.2x, 0.2y)) as our answer.
Answer:
Table B
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form
or 
<em>Verify table B</em>
For
-----> 
For
-----> 
For
-----> 
For
-----> 
The values of k are the same
therefore
The table B shows y as DIRECTLY PROPORTIONAL to x
<em>Verify table D</em>
For
-----> 
For
-----> 
For
-----> 
For
-----> 
the values of k are different
therefore
The table D not shows y as DIRECTLY PROPORTIONAL to x