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Parallelogram:
Properties of opposites sides: congruent
Properties of consecutive sides: not parallel
Properties of opposite angles : congruent (the same)
Properties of consecutive angles: supplementary (equal 180 degrees)
Properties of diagonals: bisect each other.
Rectangle:
Properties of opposite sides: congruent
Properties of consecutive sides: Perpendicular
Properties of opposite angles: congruent
Properties of consecutive angles: congruent
Properties of diagonals: bisect each other.
Rhombus:
Properties of opposite sides: congruent and parallel
Properties of consecutive sides: congruent but not parallel
Properties of opposite angles: congruent
Properties of consecutive angles: equal 180 degrees
Properties of diagonal: perpendicular
Square:
Properties of opposite sides: congruent
Properties of consecutive sides: congruent
Properties of opposite angles: equal
Properties of consecutive angles: equal
Properties of diagonal equal and perpendicular
Trapezoid:
Properties of opposite sides: top and bottom are parallel
Properties of consecutive sides: none
Properties of opposite angles: none
Properties of consecutive angles: none
Properties of diagonal: none
Kite:
Properties of opposite sides: none
Properties of consecutive sides: two sets of congruent sides
Properties of opposite angles: 1 set of congruent angles
Properties of consecutive angles: none
Properties of diagonal: Perpendicular
Isosceles trapezoid:
Properties of opposite sides: top and bottom and parallel. 2 sides congruent.
Properties of consecutive sides: none
Properties of opposite angles: none
Properties of consecutive angles: two base angles are equal
Properties of diagonal: none.
Hope This Helps You!
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- Hannah ❤
(x) = x2. What is g(x)?
Answer:
150 square feet
Step-by-step explanation:
Step 1
Find the Length and Width of the backyard
The length of a rectangular backyard is 5 feet longer than the width of the backyard. The perimeter of the backyard is 50 feet.
Perimeter = 2L + 2W
L = Length, W = Width
L = 5 + W
Hence:
50 = 2(5 + W) + 2W
50 = 10 + 2W + 2W
Collect like terms
50 - 10 = 4W
40 = 4W
W = 40/4
W = 10 feet
We find L
L = 5 + W
L = 5 + 10 feet
L = 15 feet
Step 2
What is the area of the backyard?
Area of a rectangle = Length × Width
Area of the rectangular backyard = 15 feet × 10 feet
= 150 square feet
Answer: Jordan worked for 10 hours and Sydney worked for 6 hours.
Step-by-step explanation:
Let x represent the number of hours
that Jordan worked.
Let x represent the number of hours that Sydney worked.
Jordan can iron 20 shirts per hour, and Sydney can iron 25 shirts per hour. They ironed 350 shirts between them. It means that
20x + 25y = 350- - - - - - - - - - - 1
Jordan worked 4 more hours than Sydney. It means that
x = y + 4
Substituting x = y + 4 into equation 1, it becomes
20(y + 4) + 25y = 350
20y + 80 + 25y = 350
20y + 25y = 350 - 80
45y = 270
y = 270/45
y = 6
x = y + 4 = 6 + 4
x = 10
Answer: They will hike exactly 16 miles each day for 4 days.
Step-by-step explanation:
Given: Total distance to hike = 72 miles
They hike 16 miles per day.
Total days they will take to complete the distance =
It will take 4 complete days and a half day to complete the journey.
i.e. They will hike exactly 16 miles each day for 4 days.
account earning simple interest to earn more interest than the same
amount of money invested at the same rate in an account earning
interest compounded annually? Explain.
Answer:
yes
Step-by-step explanation:
if u don't touch that money for a long time u will have more money than in the other. hope this helps.
can I please have brainliest.
Answer:
The required number of bowls are 5.
Step-by-step explanation:
Given : A sugar bowl holds 237 grams. You have a one kilogram bag of sugar.
To find : Estimate how many bowls of sugar you can fill from the bag?
Solution :
1 bowl can hold 237 gram of sugar.
We have, 1 kg of sugar or 1000 gram of sugar.
According to question,
237 gram of sugar can hold in 1 bowl.
So, 1 gram of sugar can hold in bowl.
1000 gram of sugar can hold in bowl.
1000 gram of sugar can hold in bowl.
Which means, The required number of bowls are 5.
As 4 bowls have grams of sugar.
Sugar left is 1000-948=52 grams
That 52 grams is filled into 5th bowl.