Answer:
1. x = 20
2. x = 45
Step-by-step explanation:
First Picture:
Because of vertical angles theorem, ECD is congruent to ACB making ACH 2x
Since a triangle adds up to 180 we can use the equation 2x + 2x + 100 = 180
From this, you will get x = 20
Second Picture:
Because we know that the lines are parallel you can use alternate interior angles theorem and make RST x too
Like the other problem, we can use an equation
In this case it is x + 2x + x = 180
You should get x = 45
Answer:
26/15
Step-by-step explanation:
See attached image.
Answer:
6
Step-by-step explanation:
The LCM of 2 and 6 is 6. I hope this helps
Answer:
x = 36 and √x = 6; total 42 children
Step-by-step explanation:
Number of boys: x
Number of girls: √x
Total number of kids: x + √x = 42.
Find x.
Rewrite x + √x = 42 as √x = 42 - x. Then square both sides:
x = 1764 - 84x + x^2, or
x^2 - 85x + 1764 = 0
Check out Answer C: x = 36. Is the above equation true for x = 36? YES
Check out Answer A: x = 49. Is the above equation true for x = 49? YES
Assume that x = 36. This would be the number of boys. The number of girls would be √36, or 6. Does the sum of 36 and 6 equal 42? YES. So the number of boys is 36 and the number of girls is 6.
Assume that x = 49. This would be the number of boys. The number of girls would be √49, or 8. Does the sum of 49 and 7 equal 42? NO. So we reject x = 49 as the number of boys and accept x = 36 as being correct.
The answer to number five is: -1
the answer to number six is that adding a negative to a negative is the same as adding positives because either way you are getting rid of the negatives.