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3 years ago

Write a proof for the statement If a quadrilateral is a square, then the quadrilateral is a rectangle

Mathematics

1 answer:

Vesnalui [34]3 years ago

6 0

Answer:

this is because a quadrilateral is a four sided polygon.

and this means square and rectangle are quadrilaterals.

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the graph shows your budget and the total cost of x gallons of gasoline and a car wash you want to determine the possible amount

Yuki888 [10]

Answer:

Part a) The budget is $40

Part b) The cost of one gallon of gasoline is $3.55 and the cost of the car wash is $8

Part c) $x \leq 9.01\ gal$

Part d) see the explanation

Step-by-step explanation:

The complete question in the attached figure

Part a) What is your budget?

The budget is given by the equation

y=40

therefore

The budget is $40

Part b) How much does a gallon of gasoline cost? how much does a car wash cost?

Let

y ------> the cost of a gallon of gasoline plus the cost of a car wash

x -----> the amount of gasoline in gallons

we have

y=3.55x+8

In this problem

For x=0

y=3.55(0)+8=8

The y-intercept is the cost of the car wash

The cost of the car wash is $8

Find the cost of one gallon of gasoline

we know that

The slope of the linear equation is

m=$3.55 per gallon

therefore

The cost of one gallon of gasoline is $3.55

Part c) Write an inequality that represent the possible amounts of gasoline you can buy

we have

$3.55x+8 \leq 40$

Solve for x

$3.55x \leq 40-8$

$3.55x \leq 32$

$x \leq 9.01\ gal$

Part d) Use the graph to estimate the solution of the inequality in part c)

we have the system

y=40

y=3.55x+8

The solution of the system is the intersection point both graphs

Looking at the graph the intersection point is about (9,40)

That means ----> The maximum amount of gasoline you can buy with the budget is about 9 gallons

7 0

2 years ago

Which number below is a perfect square? 100 90 50 75

Umnica [9.8K]

100

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4 0

2 years ago

A yellow hot-air balloon is 100 feet off the ground and rising at rate of 8 feet per second.An orange hot-air balloon is 160 fee

Serhud [2]

ANSWER

Find out the how long will the Yellow balloon be higher than the orange balloon.

To proof

Now the diagram is given below

As given

A yellow hot-air balloon is 100 feet off the ground and rising at rate of 8 feet per second.

i.e height of the yellow baloon off the ground = 100 feet

rising at rate = 8 feet per second.

.An orange hot-air balloon is 160 feet off the ground and rising at a rate of 5 feet per second.

i.e height of the orange baloon off the ground = 160 feet

rising at rate = 5feet per second.

Formula

$Relative\ velocity = \frac{Relative\ Distance}{Relative\ time}$

Relative velocity = rising rate of yellow balloon - rising rate of orange balloon

= 8 -5

= 3 feet per second

Relative distance = height of the yellow baloon off the ground - height of the orange baloon off the ground

= 160 -100

= 60 feet

put in the formula

$= \frac{60}{3}$

= 20 second

after 20 second Yellow balloon will be higher than the orange balloon.

Hence proved

8 0

3 years ago

Tyra wants to arrange 32 tiles in equal rows and columns. how many ways could she organized the tiles? list the factors

Novay_Z [31]

I did this in school!!
You can do it 4 times.
I think...

Your welcome!

8 0

3 years ago

Read 2 more answers

ricardo have two snacks.One snack has the mass of 167 grams,and the other has 243 grams what is the difference in the mass of sn

Fed [463]

243 - 167 =76
The difference is 76g.
You just need to find the difference between both snacks

3 0

2 years ago