The sum of all the angles must be 180 degrees.
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.
Answer:
12.5 inches of gold chain.
Step-by-step explanation:
To get the remaining chain of gold we need to calculate
8/8 - 3/8 = 5/8 of 20 inches
then multiply:
20 * 5/8 = 100/8
100/8 = 12.5 inches
C. Typing 210 words in 5 minutes.
Explanation:
42 words per minute is equivalent to 210 words in minutes:
Write the 42 wpm and 210 words in 5 mins as a ratio:
42 : 1 and 210 : 5
Multiply both sides in the ratio 42 : 1 by 5:
42 x 5 = 210
1 x 5 = 5
= 210 : 5
Therefore 210 words in 5 mins is an example of the unit rate 42 wom because it is equivalent.
Hope this helps!
-SpaceMarsh
(Brainliest pls, tysm!)