Answer:
x = - 3.42443 or 6.42443
Step-by-step explanation:
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
9514 1404 393
Answer:
2 10/27 square inches
Step-by-step explanation:
The length is 1 7/9 = 16/9 inches. The width is 3/4 of that, so is ...
(3/4)(16/9) = 4/3 inches
The area is the product of length and width, so is ...
A = (16/9 in)(4/3 in) = 64/27 in²
The area of the rectangle is 2 10/27 square inches.