Answer:
The Proof is below.
Step-by-step explanation:
Given:
ABCD is a Parallelogram
Construction:
Draw diagonal AC
To Prove:
AB ≅ CD
BC ≅ DA
Proof:
ABCD is a Parallelogram. ...............Given
BC || DA ........Opposite sides of Parallelogram are Parallel
AB || CD ........Opposite sides of Parallelogram are Parallel
Now,
In ΔABC and ΔCDA
∠BCA ≅ ∠DAC ...……….{Alternate Angles are equal since BC || DA}
∠BAC ≅ ∠DCA …………..{Alternate Angles are equal since AB || CD}
AC ≅ AC …....…….{Reflexive Property}
ΔABC ≅ ΔCDA ..........….{By Angle-Side-Angle Congruence Postulate}
AB ≅ CD ....{Corresponding parts of Congruent Triangles are Congruent}
BC ≅ DA ....{Corresponding parts of Congruent Triangles are Congruent}
Answer: The area of the square is 64 square inches and the area of the new rectangle is 60 square inches. The square's area is 4 inches larger than the rectangle.
Step-by-step explanation: If a side length of the square measures 8 inches, then its area can be calculated as follows;
Area = L x W
The length and the width both measure 8 inches (all sides of a square are equal in length).
Area = 8 x 8
Area = 64
Also, the the new rectangle is formed by increasing the width of the square by 2 inches (that is 8 + 2 = 10), and decreasing the length by 2 inches (that is 8 - 2 = 6). The area of the new rectangle is calculated as follows;
Area = L x W
Area = 10 x 6
Area = 60
Therefore the area of the square is 64 square inches and the area of the rectangle is 60 square inches. The area of the square is 4 inches larger than that of the rectangle.
Answer:
52 cars / month
Step-by-step explanation:
Take the number of cars sold and divide by the number of months
156cars / 3 months = 52 cars / month
Answer:
27
Step-by-step explanation:
If Fiona's age is x, Dan and Gavyn's ages respectively are x + 8 and x - 9. We can write:
x + x + 8 + x - 9 = 56
3x - 1 = 56
3x = 57
x = 19
The eldest is Dan (because x + 8 > x and x + 8 > x - 9). His age is x + 8 = 19 + 8 = 27.
Answer
Step-by-step explanation:
Me