The ratio of circumference to diameter is independent of the radius.
Defining C=circumference, r=radius, D=diameter = 2r
Circumference = C = 2 π r = π D
=>
ratio of circumference / diameter
= C/D = π
Answer:
Let x be the total number of cupcakes.
Chocolate chips =
Strawberry =
Vanilla =
given
a)Number of Chocolate chip Cupcakes =
b)Number of Strawberry cupcakes =
Answer:
The Proof and Explanation for
Part C ,
Qs 9 and
Qs 10 are below.
Step-by-step explanation:
PART C .
Given:
AD || BC ,
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. ∠ABD ≅ ∠CBD 1. Given
2. AB ≅ CB 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
Step-by-step explanation:
the solution area :
-2x - 2y > 4
so,
x + y < -2
