Answer:
The Proof for
Part C , Qs 9 and Qs 10 is below.
Step-by-step explanation:
PART C .
Given:
AD || BC ,
AE ≅ EC
To Prove:
ΔAED ≅ ΔCEB
Proof:
Statement Reason
1. AD || BC 1. Given
2. ∠A ≅ ∠C 2. Alternate Angles Theorem as AD || BC
3. ∠AED ≅ ∠CEB 3. Vertical Opposite Angle Theorem.
4. AE ≅ EC 4. Given
5. ΔAED ≅ ΔCEB 5. By A-S-A congruence test....Proved
Qs 9)
Given:
AB ≅ BC ,
∠ABD ≅ ∠CBD
To Prove:
∠A ≅ ∠C
Proof:
Statement Reason
1. AB ≅ BC 1. Given
2. ∠ABD ≅ ∠CBD 2. Given
3. BD ≅ BD 3. Reflexive Property
4. ΔABD ≅ ΔCBD 4. By S-A-S congruence test
5. ∠A ≅ ∠C 5. Corresponding parts of congruent Triangles Proved.
Qs 10)
Given:
∠MCI ≅ ∠AIC
MC ≅ AI
To Prove:
ΔMCI ≅ ΔAIC
Proof:
Statement Reason
1. ∠MCI ≅ ∠AIC 1. Given
2. MC ≅ AI 2. Given
3. CI ≅ CI 3. Reflexive Property
4. ΔMCI ≅ ΔAIC 4. By S-A-S congruence test
Answer:
The company should guarantee a lifetime of less than equal to 20.95 years so that less than 3% of the television sets fail while under warranty.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 36 years
Standard Deviation, σ = 8 years
We are given that the distribution of life of television sets is a bell shaped distribution that is a normal distribution.
Formula:
We have to find the value of x such that the probability is 0.03.
Calculation the value from standard normal z table, we have,
Thus, the company should guarantee a lifetime of less than or equal to 20.95 years so that less than 3% of the television sets fail while under warranty.
Answer:
0.3
Step-by-step explanation:
4 divided by 12 is .333333333… and the tenths place is right after the decimal point. ex: 5.67 with 6 being in the tenths place. since 3 can’t be rounded upto add onto the tenths place, it stays as .3.
Answer:
1. 24.36
2. Do the same thing (follow the steps in the picture)
Step-by-step explanation:
71/20 is not in simplest form because you need to change it into a mixed number by dividing 71 and 20 and putting the remainder over 20.
