The lengths (in centimeters) of the opposite side pairs are 59 cm , 38 cm. Option C) is the correct answer.
<u>Step-by-step explanation</u>:
<u>step 1</u> :
Given that,
Quadrilateral ABCD is a parallelogram if both pairs of opposite sides are congruent.
<u>step 2</u> :
The opposite sides are AB and CD respectively.
The another opposite sides are BC and AD respectively.
<u>step 3</u> :
If both pairs of opposite sides are congruent, then
AB = CD
44+3x = 64-x
3x+x = 64-44
4x = 20
x = 5
<u>step 4</u> :
BC = AD
33+y = 48-2y
y+2y = 48-33
3y = 15
y = 5
<u>step 5</u> :
Subsitute x=5 and y=5 in any of the given sides,
CD = 64-x = 64-5 = 59
∴ CD = 59 cm
BC = 33+y = 33+5 = 38
∴ BC = 38 cm
The lengths of the opposite side pairs are 59 cm , 38 cm.
<em>25</em>
- <em>Step-by-step explanation:</em>
<em>Hi there !</em>
<em>6×7 - 3²×9 + 4³ =</em>
<em> 1. raise the numbers to power</em>
<em>= 6×7 - 9×9 + 64</em>
<em> 2. we perform the multiplications</em>
<em>= 42 - 81 + 64</em>
<em> 3. we perform addition and subtraction</em>
<em>= (42 + 64) - 81</em>
<em>= 106 - 81</em>
<em>= 25</em>
<em>Good luck !</em>
Step-by-step explanation:
1. 1/4(x + 12)=2 - first isolate X'
- 12 -12
2. 1/4(x) = -10 - 1/4 since its a fraction, you'll have to subtract not divide
-1/4 - 1/4
3. x = -10.25
Andre did the first step correctly, but on the second step he just divided 1.4 by -10, instead of subtract 1/4 from both sides.
6 is 4.9 and 6.2 but i’m not sure about 7 tho
Answer:
Step-by-step explanation:
![Hence,\\As\ Angle\ A\ and\ Angle\ B\ are\ co-interior\ angles, if\ they\ are\\ supplementary\ then\ AD \parallel BC.\ Lets\ check\ that\ out.\\Hence,\\Angle\ A=2x=2*15=30\\Angle\ B=90\ [Given]\\Hence,\\As\ 90+30\neq 180,\\Angle\ A +Angle\ B\neq 180\\Hence,\\As\ Angle\ A and\ Angle\ B\ are\ not\ supplementary, AD\ will\ not\ be\ parallel\ to\ CB.](https://tex.z-dn.net/?f=Hence%2C%5C%5CAs%5C%20Angle%5C%20A%5C%20and%5C%20Angle%5C%20B%5C%20are%5C%20co-interior%5C%20angles%2C%20if%5C%20they%5C%20are%5C%5C%20supplementary%5C%20then%5C%20AD%20%5Cparallel%20BC.%5C%20Lets%5C%20check%5C%20that%5C%20out.%5C%5CHence%2C%5C%5CAngle%5C%20A%3D2x%3D2%2A15%3D30%5C%5CAngle%5C%20B%3D90%5C%20%5BGiven%5D%5C%5CHence%2C%5C%5CAs%5C%2090%2B30%5Cneq%20180%2C%5C%5CAngle%5C%20A%20%2BAngle%5C%20B%5Cneq%20180%5C%5CHence%2C%5C%5CAs%5C%20Angle%5C%20A%20and%5C%20Angle%5C%20B%5C%20are%5C%20not%5C%20supplementary%2C%20%20AD%5C%20will%5C%20not%5C%20be%5C%20parallel%5C%20to%5C%20CB.)
