We can divide the above figure into two rectangles MNSR and OPQS.
The dimension of rectangle MNSR is 3 x 4 (Since, MR = 3 and MN = 4).
So, area of rectangle MNSR = 3* 4 = 12 square units.
Similarly dimension of rectangle OPQS is 3 x 1 because
PQ = MR - NO = 3 - 2 = 1
SQ = RQ - MN = 7 - 4 = 3.
So, area of OPQS = 3* 1 = 3 square units.
Hence, the area of polygon MNOPQR = Area of rectangle MNSR that is 12 square units + Area of rectangle OPQS that is 3 square units.
= 12 + 3
= 15 square units.
Hope this helps you!
Answer:
The proof is below
Step-by-step explanation:
Given a parallelogram ABCD. Diagonals AC and BD intersect at E. We have to prove that AE is congruent to CE and BE is congruent to DE i.e diagonals of a parallelogram bisect each other.
In ΔACD and ΔBEC
AD=BC (∵Opposite sides of a parallelogram are equal)
∠DAC=∠BCE (∵Alternate angles)
∠ADC=∠CBE (∵Alternate angles)
By ASA rule, ΔACD≅ΔBEC
By CPCT(Corresponding Parts of Congruent triangles)
AE=EC and DE=EB
Hence, AE is conruent to CE and BE is congruent to DE
Answer:
2)
d. -1 1/2
3)
c. 21 1/2
Step-by-step explanation:
C = 2(pi)r....so we are looking for the radius (r)
42 = 2 * 3.14 * r
42 = 6.28r
42/6.28 = r
6.69 = r <===
Answer:
I believe it is 2.1 if I am wrong, very sorry.
Step-by-step explanation:
So you divide 200 by 100 so 210/100, thats when you get 2.1. So to convert that from percent to decimal all you do is is just divide by 100 and remove the % sign! Just move the decimal point 2 places to the left. If the percent value is a integer, the '.' is at the right of the right most digit.
Hope this helped you out and hope you got your answer right! Enjoy the rest of your day. :)
