Answer:
Option C, 14/21=9/21 is the proportion.
Step-by-step explanation:
Given:
a.5/7 = 10/12
b.9/15 = 12/18
c.4/6 = 8/12
d.14/21 = 9/12
We have to find the proportions.
In proportion two ratios are equal, as it has an equality sign in between so both side must be of same ratio in its simplest form.
Let's work with option C
⇒ 
To find the simplest form we have to divide the numerator and denominator with same digit (or its factor).
Simplest form of 
= 
, 
= 
Simplest form of =
Both sides in option C have equal ratios of 2/3.
So 4/6=8/12 is in proportion.
Answer:
Option B and C are correct.
are the expression incorrect for slope
Step-by-step explanation:
Slope is defined as the change in the dependent variable relative to the change in the dependent variable
or the ratio of the horizontal changes to vertical changes between any two points on the graph of the line.
The vertical changes between any two points is rise
The horizontal changes between any two points is run.
Formula for slope is given by:
For any two points 
and 
then slope is:
or we can write this as:
Δy = 
Δx = 
⇒
Therefore, the expression which are incorrect for slope are;
Answer:
a. 25
Step-by-step explanation:
Note that the specifically state that they are vertical angles. This means that the two measurements should equal each other. Set the two expressions equal to each other, and isolate the x. Note the equal sign, what you do to one side, you do to the other:
3x = x + 50
Subtract x from both sides to isolate the x:
3x (-x) = x (-x) + 50
3x - x = 50
2x = 50
Isolate the x, divide 2 from both sides:
(2x)/2 = (50)/2
x = 50/2
x = 25
x = 25, or (a) 25 is your answer.
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Answer:
4600
Step-by-step explanation:
I believe that would equal 65/21
hope that helps!
