b=7×10(opposite angle of parallelogram)
b=70
3x+10+b=180(cointerior angles)
3x=10
x=33.33
a+70=180(cointerior angles)
a=110
9514 1404 393
Answer:
2√5
Step-by-step explanation:
The distance formula is useful for this.
d = √((x2 -x1)² +(y2 -y1)²)
d = √((2 -(-2))² +(1 -3)²) = √(4² +(-2)²) = √20
d = 2√5
The length of segment PQ is 2√5.
Answer:
Step-by-step explanation:
The answer is B; 90°
Answer:
a.) 60
Step-by-step explanation:
Margin of Error formula = z × s/√n
z = z score of confidence interval
We are given z score of 99% = 2.58
s = Standard deviation = $36
Margin of Error= ± 12
n= unknown
= 12 = 2.58 × 36/√n
12 × √n = 92.88
√n = 92.88/12
√n = 7.74
Square both sides
(√n)² = 7.74²
n = 59.9076
Approximately n ≈ 60
Therefore, the required sample size = 60
