Answer:
27% and 37%
Step-by-step explanation:
Percentage of students who oppose the year-round school = 68%
Percentage of students who support the year-round school = 32%
Margin of error = ± 5%
We have to set up the absolute valued equation to find the range(least and greatest) percentages of students who could be in favor of year-round school.
Since, the percentage of students who support the year-round school is 32% and the margin of error is 5%, this means, the difference between 32% and the least and greatest possible percentages is 5%. It can be either +5% or -5%
This thing can be expressed as absolute valued equation as:
| x - 32 | = 5
Here x represents the least and greatest percentages.
Expanding the equation, we can write:
x - 32 = -5 or x - 32 = 5
x = -5 + 32 or x = 5 + 32
x = 27% x= 37%
This means the least percentage of students who be in favor is 27% and the greatest percentage of students is 37%.
UVX and RSV should be corrisponding angles
Answer:
Angle 1: 52 degrees
Angle 2: 128 degrees
Step-by-step explanation:
Angle 1 = x
Angle 2 = 2x + 24
Supplementary angles are two angles that add up to 180 degrees.
x + 2x + 24 = 180
3x + 24 = 180
3x = 180 -24
3x = 156
x = 52
Check:
Angle 1: x = 52
Angle 2: 2x + 24
2(52) + 24
104 + 24 = 128
128 + 52 = 180
Answer:
IJK and KJM
Step-by-step explanation:
Vertical Angles are the angles opposite each other when two lines cross
they are always equal in measure and share a point (in this case J)
hope this helps