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:
11 + 13i
Step-by-step explanation:
A must know is that

Complex numbers
1st: foil the equations


2nd Combine like terms and substitute



Answer: 16x-25 over 4(4x-5)(2x-3)
Step-by-step explanation:
I already a seed you when you asked this the first time. The answer is 3.
You multiply both sides by 50 and then you get this
(In the picture)
Answer: Nazim have to pay $35 for 20 slices of pizza.
Monthly cost for x slices = 5+1.5x
Step-by-step explanation:
Let x = number of slices
As per given,
Total monthly cost for x slices = (membership cost) +(discounted price) ×(x)
i.e. Total monthly cost for x slices = 5+1.5x
If x=20
Then, Nazim have to pay = 5+1.5(20)
= 5+30= $35
i..e Nazim have to pay $35 for 20 slices of pizza.
Monthly cost for x slices = 5+1.5x