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
A piecewise function is a function that behaves differently in different intervals.
Here the piecewise function is:
f(x) = $2 if x < 5
f(x) = x - $3 if x ≥ 5
We know that:
"Fun park charges an entry fee of $2 for any family with less than 5 members."
"The park charges $3 less than the number of family members for the entry of any family with 5 or more members."
If we define x as the number of members of a family, the function of the price will be:
f(x) = $2 if x < 5 (the cost is $2 if the family has less than members)
f(x) = x - $3 if x ≥ 5 (the cost if the family has 5 members or more)
If you want to learn more, you can read:
brainly.com/question/12561612
Our Equation is
which means
Now we have to find this ration
Inserting value of a into this equation
Answer:
y=-2x+8
Step-by-step explanation:
Slope=-2
Y intercept= 8
