Vernon's work for finding the value of x is shown below. Lines A C and B D intersect at point E. Angle A E D is (16 x + 8) degre
2 answers:
Answer:
<em>No, he should have set the sum of ∠AED and ∠DEC equal to 180°, rather then setting ∠AED and ∠DEC equal to each other</em>
Step-by-step explanation:
Find the diagram attached
If line AC and BD intersects, then m<AED + m<DEC = 180 (sum of angle on a straight line is 180 degrees)
Given
m<AED = 16x+8
m<DEC = 76 degrees
16x + 8 + 76 = 180
16x + 84 = 180
16x = 180-84
16x = 96
x = 96/16
x = 6
Hence the value of x is 6
Hence the correct option is <em>No, he should have set the sum of ∠AED and ∠DEC equal to 180°, rather then setting ∠AED and ∠DEC equal to each other</em>
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Answer:
There were 180 voters for blue color.
Step-by-step explanation:
Let the total number of voters be 'x'.
Given:
Number of Voters for blue color =
Number of Voters for green color =
Now we will use LCM to make the denominator common we get;
Number of Voters for green color =
Number of Voters for red color = 48
We need to find the number of voters for blue color.
Solution:
Now we can say that;
total number of voters is equal to sum of Number of Voters for blue color, Number of Voters for green color and Number of Voters for red color.
framing in equation form we get;
Combining like terms we get;
Now we will make denominators common using LCM we get;
Now denominators are common so we will solve the numerators we get;
Now multiplying both side by 6 we get;
Number of voters for blue color =
Hence There were 180 voters for blue color.
