The sum of interior angles of a pentagon is given by:
(n-2)*180
where
n=number of sides
thus the sum of angles in a pentagon will be:
(5-2)*180
=540
hence to evaluate the missing angles we shall proceed as follows:
sum of the given angles is:
63+119+125+116
=423
thus the missing angle, x, will be:
x+423=540
x=540-423
x=117°
<h3>
Answer: 4</h3>
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Explanation:
We can pick any (x,y) point on this blue line as long as we don't pick (0,0)
This is because we cannot divide by zero.
Let's say we pick the point (x,y) = (1,4)
The constant of proportionality is found like so
k = y/x
k = 4/1
k = 4
The constant of proportionality is 4
Or we could pick a point like (2,8) to get
k = y/x
k = 8/2
k = 4
We get the same thing.
There are infinitely many points to pick, but in my opinion, it's easiest to stick with (1,4).
As a slight alternative, you can apply the slope formula (pick any two points you want on the blue line) and you should get 4 as well.
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Extra info:
- The direct proportion equation always goes through the origin. This means the y intercept is 0.
- The slope is equal to the constant of proportionality.
- The equation of this line is y = 4x
Answer:
Option A- One
Step-by-step explanation:
Given that : The sides of the triangle measuring 6cm, 2cm and 7cm.
We are using : Triangle inequality
The sum of the length of the two sides should be greater than the length of the third side.
So, when we apply this theorem in 6cm,2cm and 7cm
6+2=8>7 , 7+2=9>6 , 7+6=13>2
It satisfy all three possible sets.
Therefore, the given values follows the triangle inequality.
Hence one triangle can be formed.
Therefore, option A is correct.
Answer:
Number of yes votes = 3912 votes
Step-by-step explanation:
Ratio of Yes votes to No votes = 4:3
Total number of votes = 6846 votes
Number of yes votes = (4/7) × 6846 = 3912 votes
Answer:
115
Step-by-step explanation: