Cole's mistake was that he rounded 555 to the nearest hundred instead of the nearest ten. He should've rounded it to 560 because the tens place is the second number, not the first one.
The given quadrilateral ABCD is a parallelogram since the opposite sides are of same length AB and DC is 4 and AD and BC is 2.
<u>Step-by-step explanation</u>:
ABCD is a quadrilateral with their opposite sides are congruent (equal).
The both pairs of opposite sides are given as AB = 3 + x
, DC = 4x
, AD = y + 1
, BC = 2y.
- AB and DC are opposite sides and have same measure of length.
- AD and BC are opposite sides and have same measure of length.
<u>To find the length of AB and DC :</u>
AB = DC
3 + x = 4x
Keep x terms on one side and constant on other side.
3 = 4x - x
3 = 3x
x = 1
Substiute x=1 in AB and DC,
AB = 3+1 = 4
DC = 4(1) = 4
<u>To find the length of AD and BC :</u>
AD = BC
y + 1 = 2y
Keep y terms on one side and constant on other side.
2y-y = 1
y = 1
Substiute y=1 in AD and BC,
AD = 1+1 = 2
BC = 2(1) = 2
Therefore, the opposite sides are of same length AB and DC is 4 and AD and BC is 2. The given quadrilateral ABCD is a parallelogram.
4x+5=13
Start by subtracting 5 from both sides:
4x+5-5=13-5
4x=8
Divide both sides by 4 to isolate x
x=2
Answer:
x = 2
Step-by-step explanation:
- 2 + 2x = - x + 2 + x
2x + x - x = 2 + 2
2x = 4
x = 4/2
x = 2
Answer:
Students did not watch either game = 10
Step-by-step explanation:
Total no. of students = 100
Students watched the Super Bowl = 85
Students watched the Stanley Cup = 25
Students watched both games = 20
Students did not watch either game = ( Total no. of students ) - ( Students watched the Super Bowl ) + ( Students watched the Stanley Cup ) - ( Students watched both games )
Students did not watch either game = 100 - (85 + 25 - 20)
Students did not watch either game = 100 - 90
Students did not watch either game = 10