Mathematics High School

Prove that quadrilateral ABCD is a square, using Pythagorean Therom.

How to find the formula for the Pythagorean therom c2=a2+b2

The quadrilateral is in the picture above..

Prove That Quadrilateral ABCD Is A Square, Using Pythagorean Therom.How To Find The Formula For The Pythagorean

Answers

Answer 1

Answer:

See below

Step-by-step explanation:

The given diagram doesn't give enough details to state the quadrilateral is a square.

We see all sides are of same length of 9 units. This could be a rhombus too.

In order this quadrilateral is a square all interior angles should be marked as right angles.

Let's assume the above condition is met.

Find the length of both diagonals:

[tex]AC=\sqrt{9^2+9^2} =9\sqrt{2} \\BD=\sqrt{9^2+9^2} =9\sqrt{2}[/tex]

Since both diagonals have same length, the quadrilateral is a square.

Answer 2

Break into two parts

∆ABC and ∆ADC

In∆ABC

[tex]\\ \sf\longmapsto AC^2=9^2+9^2=81+81=162\implies AC=9√2[/tex]

In ∆ADC

[tex]\\ \sf\longmapsto AC^2=9^2+9^2=81+81=162\implies AC=9√2[/tex]

<D=<B=90°

ABCD is a square.

Related Questions

The sourdough bread machine at the restaurant can bake 20 loaves of bread in
1/2 of an
hour. The whole wheat bread machine can bake 30 loaves of bread in 1/3
of an hour.
Which machine makes bread faster? Explain or show how you know.

Answers

Answer........

Step-by-step explanation:

Find the slope of the line passing through the points (5, 1) and (5, "-6)"


NEED HELP FAST

Answers

Answer:

m = 0

Step-by-step explanation:

(5,1) and (5,-6)

(-6-1)/(5/5)

= -7/0 = 0 (horizontal line)

The slope of the line is 0.

[WILL GIVE BRAINLIEST]
The price of milk is tripled, and then rose another $0.75 per gallon. If the price now is AT LEAST $4.50, which inequality expresses this situation?

A. 3x + 0.75 ≤ 4.5
B. 3x + 0.75 ≥ 4.5
C. 3x - 0.75 ≥ 4.5
D. 3(x + 0.75) ≤ 4.5

I’ll give brainliest to someone with a correct answer along with an explanation :)

Answers

Answer:

D

Step-by-step explanation:

Hello!

The answer is D because, the 1st part triples which is part of the question and is atleast 4.5

Please brainly if I helped you

Look at picture below

Answers

Answer:

10,250

Step-by-step explanation:

Correct me if I am wrong But,

At PetSmart, zebra fish cost $1.85 each and neon tetras cost $2.10 each. Nicolas bought 11

fish for a total of $21.60 (not including tax). How many of each fish did he buy?

Separate your answer list with a comma, for example: 30 neon tetras, 20 zebra fish.

Answers

Answer:

5 Neon tetras

6 Zebra Fish

Step-by-step explanation:

21.60/2=10.80

Neon Tetras: 2.10*5=10.50

Zebra fish: 1.85*6=11.10

10.50+11.10= 21.60

How many solutions does this
system have?
(24x - 9y = 3
8x - 3y = 1
-
A. None
B. One
C. Infinite

Answers

A. None cause it’s 24x -9y =1

Answer:

C) Infinitely many solutions

Step-by-step explanation:

Given the systems of linear equations in standard form:

Equation 1:  24x - 9y = 3

Equation 2:    8x - 3y = 1

Transform both equations into slope-intercept form, y = mx + b:

Equation 1:  24x - 9y = 3

Subtract 24x from both sides:

24x - 24x - 9y = -24x + 3

-9y = -24x + 3

Divide both sides by -9 to isolate y:

[tex]\mathsf{\frac{-9y}{-9}\:=\:\frac{-24x + 3}{-9} }[/tex]

[tex]\mathsf{y\:=\:\frac{8}{3}x\:-\frac{1}{3}}[/tex]  ⇒ This is the slope-intercept form of Equation 1, 24x - 9y = 3.

Equation 2:    8x - 3y = 1

Subtract 8x from both sides:

8x - 8x - 3y = - 8x + 1

-3y = -8x + 1

Divide both sides by -3 to isolate y:

[tex]\mathsf{\frac{-3y}{-3}\:=\:\frac{-8x + 1}{-3} }[/tex]

[tex]\mathsf{y\:=\:\frac{8}{3}x\:-\frac{1}{3}}[/tex] ⇒ This is the slope-intercept form of Equation 2, 8x - 3y = 1.

It turns out that both equations in the given system are equivalent, and their graphs will coincide on top of one another.  In this case, the equations are said to be dependent, both equations will have the same solutions.

Hence, there are infinitely many solutions to the given systems of linear equations, making Option C the correct answer.  

6) Which of the following is not a solution to the
inequality 5x + 3y ≥ -3?

Answers

Step-by-step explanation:

5x + 3y ≥ -3

5x ≥ -3

x ≥ -3/5

5x + 3y ≥ -3

3y ≥ -3

y ≥ -3/3

y ≥ -1

Solution

x ≥ -3/5 and y ≥ -1

What is the equation of the line in slope-intercept form?

Answers

Y=3/5x+3
Hope this helped

4.
Which of the following is the minimum value of the function y= 1/2x^2 + 2x + 8?

A. 8

B. 0

C. 4

D. 6

Answers

Start by using -b/2a to find the x value of the vertex (which is where the minimum value would be).
-2/1 = -2 = x value of the vertex
Plug in the x value of the vertex to get the minimum value
1/2(-2)^2 + 2(-2) + 8
2 - 4 + 8
6 = y value of the vertex, which is also the minimum.
Therefore, the minimum value of the function is D. 6

Answer:

Step-by-step explanation:

To prove you own a car, what are the papers called?
✅Title
- Lease
- Owner’s Manual
- License Plate

Answers

Answer:

the answer is title

Step-by-step explanation:

In two or more complete sentences, describe the transformation(s) that take place on the parent function RX) = 3* to
obtain the graph of f(x) = 3-* +1+5.

Answers

Answer:

If h > 0, then the graph of y = f (x – h) is a translation of h units to the RIGHT of the graph of the parent function. If h<0,then the graph of y=f(x–h) is a translation of |h| units to the LEFT of the graph of parent function

Step-by-step explanation:

3x-(2x-1)=7x-(3-5x)+(-x+24)

Answers

Answer:

x=-2

Step-by-step explanation:

first, remove the parenthesis.

3x-2x+1=7x-3+5x-x+24

collect like terms

x+1=11x+21

subtract x from both sides

1=10x+21

subtract 21 from both sides

-20=10x

divide both sides by 10

-2=x

Sara says “if you subtract 17 from my number and multiply the difference by -4, the result is -24” what is Sara’s number? I’ll give brain

Answers

The number is 23 because -24÷-4 equals 17 17+6 = 23

A department store buys 300 shirts at a cost of $5,400 and sells them at a selling price of $20
each. Find the percent markup.
The percent markup is %. (Round to the nearest whole number as needed.)

Answers

Answer:

they mark up the price by 11 percent

Step-by-step explanation:

first you do 5400/300 and you get 18

than you find out how much percent of 18 is 2

than you have how much percent they market up the price

A bakery can make 63 cookies in 9 minutes. At this rate, how many cookies can the bakery make in 20 minutes?

Answers

Answer:

Step-by-step explanation:

First, we need to calculate how many cookies can the Bakery make in one minute.

So we use [tex]\dfrac{63}{9} = \dfrac{21}{3} = 7[/tex] to find out that the rate is 7 cookies per minute.

So in 20 minutes, the bakery can make [tex]20*7=140[/tex] cookies.

Step-by-step explanation:

First, we need to calculate how many cookies can the Bakery make in one minute.

So we use  to find out that the rate is 7 cookies per minute.

So in 20 minutes, the bakery can make cookies.

Answer:

140 cookies in 20 minutes

What do you know to be true about the values of p and q.
A. p = q
B. p < q
C. p > q
D. Can't be determined​

Answers

Answer:

A. p = q

Step-by-step explanation:

For each triangle, add the angles together and then subtract the sum from 180°.

First triangle:

60° + 50° = 110°

180° - 110° = 70°

Missing angle = 70°

Second triangle:

80° + 30° = 110°

180° - 110° = 70°

Missing angle = 70°

Hope this helps :)

12.An online bookstore ships boxes with a copy
of the new bestseller in each box. The total
weight of the shipment is 1,200 pounds. If
each box weighs 1.2 pounds, how many boxes
are shipped?
A)10
B)10,000
C)1,000
D) 100

Answers

100 because of the weight

Answer:1000

Step-by-step explanation:

1200 divided by 1.2


y=1/3x+4
helpp

X and y table

Answers

Answer:

y= -1 , 1, 4

plug in the values and solve :)

Answer my math question I asked so many times I lost most of points by

Answers

kkkkkkkkkkkkkkkkkkkkkkk

Pls Help Me With This Question

Answers

Answer:

first solution is correct

Step-by-step explanation:

because line (GA) is out of the circle

Please help asap im trying to not stress over late work <3 ​

Answers

Answer:

Part A) $202.50=9

Part B) $292.50=11

Step-by-step explanation:

Part A) y is the total cost, x is the total number of students. Therefore, y=x.

Which makes $202.50=9

Part B) since $202.50= 9 students,

1 student= $202.50÷9 = $22.50

Since 4 students joined,

4 students= $22.5 × 4= $90.00

4+9= 11 students

So 11 students= $202.50+$90.00 =$292.50

the total cost will now be $292.50

Which is equivalent to 4(x – 1)?

Answers

Answer:

=4*x-4*1

= 4x - 4 is equivalent to 4(x-1)

Help plssssssss asap

Answers

Answer:

it's 110° reason (interior angles of triangle are equal to exterior angle)

Is 12/6 an integer??????

Answers

NO 12/6 IS NOT A INTEGER

Step-by-step explanation:

A INTEGER IS A NUMBER WITH A SUBTRACTION SIGN IN FORNT OF IT LIKE -5

-7(3x + 5) + 20 = 5(3 - 5x) + 4x
Is it no solution/ many solutions or infinite

Answers

Answer:

0= 30

Step-by-step explanation:

-7(3x+5) +20=5)3-5x)+4x

-21x-35+20=5)3-5x)+4x

Add the numbers

-21x-35+20=5)3-5x)+4x

-21x-15=5)3-5x)+4x

Rearrange terms

-21x-15=5)3-5x)+4x

-21x-15=5(-5x+3)+4x

Distribute

-21x-15=-25x+15+4x

Combine like terms

-21x-15=-21x+15

Add 15 to both sides of the equation

-21x-15+15=-21x+15+15

Simplify

Add the numbers

-21x=-21x+30

add 21 to both sides of the equation

-21x+21x= 21x+30+21x

Simplify

combine like terms

0=30

5 Which of the following does NOT represent an equation?
A Twice a number is six.
B x + 6 = 10
C 6 years older than Mike
D-9 +2 = -1 -​

Answers

It’s C, this is because every equation has an equal to sign but this one doesn’t
6 years older than mike is 6+x

hehehe please help ASAP

Answers

Answer: 6 because 60 divided by 10 = 6 36 divided 6 = 6 etc..

Step-by-step explanation:

Please awnser iodijeiodweoijoewideejoidejoiwjiiowjiojiowjd

Answers

Answer: B

Step-by-step explanation:

5² + x² = 6²

25 + x² = 36

36 - 25 = 11

√x² = √ 11

x = √11

yall help me please.

Answers

2/3
The numerator is up to down and the dominator is left to right

Find the value of x






………..

Answers

Answer:

135°

Step-by-step explanation:

In a hexagon, sum of all angles = 720

x + x + x + x + 90 + 90 = 720

4x + 180 = 720

4x = 720 - 180

4x = 540

x = 135°

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