Answer:
C and B
Step-by-step explanation:
The correct option is option B and C. The necessary condition to prove that the opposite angles of a parallelogram are congruent:
C. Angle Addition Postulate.
B. Opposite sides are congruent
Answer:
x ≥ - 8
Step-by-step explanation:
Given
≥ - 4
Multiply both sides by 2 to eliminate the fraction
x ≥ - 8
Answer:
59 to 66
Step-by-step explanation:
Mean test scores = u = 74.2
Standard Deviation =
= 9.6
According to the given data, following is the range of grades:
Grade A: 85% to 100%
Grade B: 55% to 85%
Grade C: 19% to 55%
Grade D: 6% to 19%
Grade F: 0% to 6%
So, the grade D will be given to the students from 6% to 19% scores. We can convert these percentages to numerical limits using the z scores. First we need to to identify the corresponding z scores of these limits.
6% to 19% in decimal form would be 0.06 to 0.19. Corresponding z score for 0.06 is -1.56 and that for 0.19 is -0.88 (From the z table)
The formula for z score is:

For z = -1.56, we get:

For z = -0.88, we get:

Therefore, a numerical limits for a D grade would be from 59 to 66 (rounded to nearest whole numbers)
Answer:
4x -4y
Step-by-step explanation:
5(x-y)-(x-y)
Distribute
5x -5y - x +y
Combine like terms
5x -x -5y +y
4x -4y