Answer:
14.
The card in 1997 is $9.98
The card in 1998 is $12.50
The card worth 1999 is $15.02
The relationship is not proportional as the ratio of year to value would be constant .
15.
A) d = 2/3m
B) d=40h
Step-by-step explanation:
Answer:
x = 15
Step-by-step explanation:
The sum of the angles in a triangle is 180º
3x + 5x + 4x = 180
Combine like terms
12x = 180
Divide both sides by 12
x = 15
C = 5x
C = 5 * 15
C = 75º
Standard deviation = 2.599519186
Round to nearest hundredth = 2.59✓
Answer:
The Proof for question no 20 and 21 are below.
Step-by-step explanation:
20.
Given:
∠PTR≅∠RSP
PT ≅ RS
To Prove:
ΔPQT ≅ ΔRQS
Proof:
In ΔPQT and ΔRQS
Statements Reasons
1. ∠PTR ≅ ∠RSP 1 .Given
2. ∠PQT ≅ ∠ROS 2. Vertical Opposite Angle Theorem.
3. PT ≅ RS 3. Given
4. ΔPQT ≅ ΔRQS 4. By A-A-S Congruence Postulate ....Proved
21.
Given:
PO ≅ SO
O is the Mid Point of NT
To Prove:
∠N ≅ ∠T
Proof:
In ΔPON and ΔSOT
Statements Reasons
1. PO ≅ S O 1 .Given
2. ∠PON ≅ ∠SOT 2. Vertical Opposite Angle Theorem.
3. NO ≅ TO 3. O is the Mid Point of NT
4. ΔPON ≅ ΔSOT 4. By S-A-S Congruence Postulate
5. ∠N ≅ ∠T 5. Corresponding Parts of Congruent Triangles are Congruent .( CPCTC )...Proved
Answer:
x = 59
Step-by-step explanation:
Here, we want to get the value of x
To do this, we use an important arc-angle relationship
we have this as:
x = (36 + 82)/2
x = 59
