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
It could be many things like 30 + 4 = 34
#1) x-8= -12
#2) 15+k= 2
#3) x/-7= -20
#4) (5/8)(x)= -20
The / in #2 means to divide and the ( ) mean to multiply
Answer:
2) 45
3) 25
4) 50%
5) 33.3%
6) 17.6
7) 500
8) 35%
9) 60
10) 87.5%
11) 2.64
12) 25%
13) 5.7
14) 85%
16) 75%
Step-by-step explanation:
2) 9 = 20% of x
9 * 5 = 45
3) 8% of x = 2
12.5 * 2 = 25
4) 39 = x(78)
39/78 = 1/2 = 50%
5) x(36) = 12
12/36 = 1/3 = 33.3...%
6) x = 0.8(22)
22/10 = 2.2
2.2* 8 = 16 + 1.6 = 17.6
7) 55 = 0.11(x)
55/11 = 5
5 * 100 = 500
8) 7/20 = 35/100 = 35%
9) 27 = 0.45(x)
27/45 = 3/5
3/5 * 100 = 300/5 = 60
10) . 49/56 = 7/8 = 0.875 = 87.5%
11) 6/100 = 0.06
0.06 * 44 = 2.64
12) 48/192 = 6/24 = 1/4 = 25%
13) 95/100 = 0.95
0.95 * 6 = 5.40 + 0.3 = 5.7
14) 68/80 = 34/40 = 17/20 = 85%
16) 108/144 = 9/12 = 0.75 = 75%
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