Answer:
Given: ABCD is a parallelogram.
Prove: Angle A and B are supplementary and C and D are supplementary.
That is, m∠A + m∠B = 180° and m∠C + m∠D = 180°
Statement Reason
1. ABCD is a parallelogram 1. Given
2.m∠A=m∠C and m∠B=m∠D 2. Definition of parallelogram.
3.m∠A+m∠B+m∠C+m∠D=360° 3. Definition of quadrilateral
4. m∠A+m∠B+m∠A+m∠B=360° 4. By substitution
⇒ 2( m∠A + m∠B ) = 360°
⇒ m∠A + m∠B = 180°
Similarly, m∠C + m∠D = 180°
5.∠A and ∠C are supplementary, 5. Def. of Supplementary
∠ B and ∠D are supplementary
John's gross monthly salary is $2000.
John receives a 15% raise in his salary.
So first we have to find 15% of $2000.
15% of 2000 =
=
=
=
John's salary including the raise = $ = $2300.
Now 30% of his monthly paycheck withheld for taxes.
30% of 2300 =
=
=
=
So the amount of tax deducted = $690.
John's net monthly income = $ = $1610.
So we have got the required answer.
Answer:
The probability of observing a sample mean of x = 52 or greater from a sample size of 25 is 0.0000026
Step-by-step explanation:
Mean =
Population standard deviation =
Sample size = n =25
Sample mean =
We are supposed to find the probability of observing a sample mean of x = 52 or greater from a sample size of 25 i.e.
Z=5.83
P(Z<52)=0.9999974
Hence the probability of observing a sample mean of x = 52 or greater from a sample size of 25 is 0.0000026