Answer:
The domain is all real numbers
The range is y ≥ -8
Step-by-step explanation:
The domain is the values that x can take
The domain is all real numbers
The range is the values that y can take
The range is y ≥ -8
Answer:
15
Step-by-step explanation:
Pythagorean theorem states that the hypogenous of a right triangle is 
. The hypogenous is the longest part of the triangle which is directly across from the 90 degree angle.
a = 9
b = 12
so,
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:
Step-by-step explanation:
The two acute angles add up to 90 degrees. That's because every triangle has 180 degrees and a right angle is 90 degrees.
<m1 + <m2 + 90 = 180 Subtract 90 from both sides.
<m1 + <m2 + 90 - 90 = 180 - 90 Combine
<m1 + <m2 = 90
Let m1 = 9*m2 Substitute.
9m2 + m2 = 90 Combine
10 m2 = 90 Divide by 10
10m2/10 = 90/10
m2 = 9
m1 = 9*m2
m1 = 9 * 9
m1 = 81
The right angle = 90
m1 = 81
m2 = 9
Answer:
Step-by-step explanation:
Given
Required
First, calculate 
We have:
This gives:
Substitute
Substitute 
Split
This gives
