Answer:
Given: ABCD is a parallelogram.
Prove: Angle A and B are supplementary and C and D are supplementary.
That is, m∠A + m∠B = 180° and m∠C + m∠D = 180°
Statement Reason
1. ABCD is a parallelogram 1. Given
2.m∠A=m∠C and m∠B=m∠D 2. Definition of parallelogram.
3.m∠A+m∠B+m∠C+m∠D=360° 3. Definition of quadrilateral
4. m∠A+m∠B+m∠A+m∠B=360° 4. By substitution
⇒ 2( m∠A + m∠B ) = 360°
⇒ m∠A + m∠B = 180°
Similarly, m∠C + m∠D = 180°
5.∠A and ∠C are supplementary, 5. Def. of Supplementary
∠ B and ∠D are supplementary
Answer:
120
Step-by-step explanation:
The area of a rectangle is its width multiplied by its length, which in this case is 12*10=120.
Answer:
8
Step-by-step explanation:
what is the total number of atoms in the compound click here
All of the telephones * all of the telephones minus one (because one is in use)
85 * 84 = 7140 connections
Answer:
1//12.
Step-by-step explanation:
The possible ways to get a sum of 4 are (1, 3), (3, 1), (2, 2) .
There are a total of 6 * 6 = 36 possible outcomes when 2 dice are rolled.
Thus the probability of the sum being 4 = 3 / 36 = 1/12 (answer).
