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:
10
Step-by-step explanation:
1+6=7
7-2=5
5+5=10
PQS = 40 because if you look at the image above it half equals 20 and 20+20=40
Answer:
Before anyone gives anyone money, Mario has 24 dollars and Roberto has 12 dollars. After they give each other money, both of them have 18 dollars.
Step-by-step explanation:
Mario has twice as much as Roberto, BUT if Mario gives Roberto 6 dollars, then they have the same amount.
M = 2R
M - 6 = R + 6
To isolate M, you need to add 6 on both sides.
M - 6 + 6 = R + 6 + 6
M = R + 12
M = 2R
Substitute M for the value above that we found.
R + 12 = 2R
Now we subtract R on both sides, so that only one side has the variable R.
R - R + 12 = 2R - R
12 = R
M = 2R
Substitute for the value of R.
M = 2 x 12
M = 24
Answer:
The area is 136
Step-by-step explanation:
7 x 16 = 112
1/2 x 8 x 6 = 24
24 + 112 = 136
