Smaller Angle: 49 degrees
Bigger Angle: 131 degrees
Note that supplementary angles add up to be 180 degrees. Knowing this and the information provided in the question, we can use the following system of equations:
x + y = 180 (showing they both add up to 180)
x + 82 = y (to show one angle is 82 more than the other)
We can use the substitution method to solve. Since the second equation ends in "= y" we can substitute the value of it into y for the first equation.
x + y = 180; x + 82 = y ==> x + (x + 82) = 180
And now, solve for x:
x + (x + 82) = 180
x + x + 82 = 180 > combine like terms
2x + 82 = 180
2x = 98
x = 49
So now we have the value for one of the angles! Remembering that the other angle is 82 degrees bigger, dd 49 + 82, which equals 131.
So, our two angle values are 131 and 49! This is correct since both angle measures add up to be 180, which also makes them supplementary!
Answer:
38 women
Step-by-step explanation:
Question 9 (1 point)
In the middle school PTA there is a total of 47 men and women. The number of women the PTA is 2 more than four times the number of men. How many women are in the
PTA?
Let the number of men = x
Let the number of women = y
x + y = 47
y = 2 + 4x
We substitute
x + 2 + 4x = 47
Collect like terms
5x = 47 - 2
5x = 45
x = 45/5 = 9
y = 2 + 4x
y = 2 + 4 × 9
y = 2 + 36
y = 38
Therefore, the number of women = y = 38 women
Answer:
I think it's 149cm
Step-by-step explanation:
I just doubled the numbers and multiplied them
I think it’s 16 per side but that’s 64 ft around I hope this helps sorry if it’s wrong
You can solve this by substitution.
x+y=10
x-y=4
===== add the equations
2x=14
x=7
Then plug in x into one of the equations
7+y=10
y=3
so x^2=7*7=49
y^2=3*3=9
Hope that helps!
