Answer:
43.98
Step-by-step explanation:
Answer:
A) X = 2, Y = 2
Step-by-step explanation:
For HL, the hypotenuse of one triangle must be congruent to the hypotenuse of the other, and the leg of one triangle must be congruent to the corresponding leg of the other triangle.
This means that we know x = y, and that 2x+3 = 3y+1.
Substituting x in place of y gives us
2x+3 = 3x+1
Subtract 2x from each side:
2x+3-2x = 3x+1-2x
3 = x+1
Subtract 1 from each side:
3-1 = x+1-1
2 = x
This means that x = 2 and y = 2, since they are equal.
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%.
The answer is number A: â12 or x = 2
