A parking lot has four sides. One pair of opposite sides are 100 yards long. The other two sides are 60 yards long. The distance from one end of the longer side to the opposite end of the shorter side is 120 yards. Is the parking lot a rectangle? Answer the questions below to find out.
5. If the distances given form a right triangle, which number is the hypotenuse, and why?


6. Which numbers are the two sides?

Answers

Answer 1

Answer:

The parking lot does not form a rectangle.

Step-by-step explanation:

Given: One pair of opposite sides of parking lot are 100 yards long. The other two sides are 60 yards long.

The distance from one end of the longer side to the opposite end of the shorter side is 120 yards.

To find: If the distances given form a right triangle?

Also, to find the hypotenuse and the numbers which represent the two sides.

Solution:

In a triangle, if the square of the length of the longest side is equal to the sum of the squares of the other two sides, then the triangle is said to be a  right angled triangle.

[tex](60)^2+(100)^2=3600+10000=13600\\(120)^2=14400\\\therefore (60)^2+(100)^2\neq (120)^2[/tex]

So, the triangle is not a right angled triangle.

So, none of the angles of the parking lot forming a quadrilateral is equal to [tex]90^{\circ}[/tex].

Hence, the parking lot is not a rectangle although the opposite sides are equal.

(A quadrilateral in which opposite sides are equal such each angle is [tex]90^{\circ}[/tex] is a rectangle )

The distances given do not form a right triangle.


Related Questions

Solve for n
n+1 = 4(n-8)
0 n = 1
On = 8
0 n = 11
0 n = 16

Answers

I want to say 16 but I’m not quite sure


GUYS PLS I NEED HELP

Answers

Answer:

z = 75°

Step-by-step explanation:

You can see that CGE and FGD are vertical angles.

FGD = 15°

Now you have a 90° angle, a 15° angle, and a z° angle. They add up to 180°

105° + z° = 180°

z = 75°

Answer:

75 degrees...

Step-by-step explanation:

if you look at the diagram, the angle with 15 degrees is the same as the one opposite!

So we know that it is on a right angled corner, so all the angles here should add up to 90 degrees!

Now we do 90 degrees - 15 degrees

This gives us 75 degrees!

So x = 75 degrees!

HOPE THIS HELPS!!

I need help on my algebra. :)

Answers

Answer:

Option B

Step-by-step explanation:

Consider the steps below;

[tex]3x - 4y = 25,\\3x + 2y = 1\\\\3x - 4y = 25,\\+ ( - 3x - 2y = - 1 )\\\\- 6y = 24,\\y = - 4\\\\3x - 4y = 25,\\3x - 4 * ( - 4 ) = 25,\\3x + 16 = 25,\\3x = 9,\\x = 3\\\\Solution, x = 3, y = - 4[/tex]

To solve this system of equations, I applied process of elimination, which I thought was most convenient. Multiplying the bottom equation by - 1, I added both equations to cancel out the x's and solved for the value of y. Substituting this value of y into the top equation, I solved for the value of x;

Solution ⇒ Option B

The solution is option B

does anyone know the answer to this ?

Answers

Answer:

the horse walked 20 feet away i think

Step-by-step explanation:

i say this because it shows an arrow from a horse to the 20 square feet

Answer:

Step-by-step explanation:

it is a three quarter circle with radius=7.1 ft

reqd. area=3/4 πr²

=3/4×π×7.1²

≈3/4×3.14×7.1²

≈118.72 ft²

pls help on this question
*image

Answers

Answer:

216 2/3

Step-by-step explanation:

yoys : frents

6   :   13

We have 100 yoys

100/6 =50/3

Multiply by 50/3

yoys      : frents

6 *50/3  :   13*50/3

100         : 650/3

As a mixed number

650/3 frents

216 2/3


If the graph of the polynomial intersects the x-axis at two points, then the
polynomial has how many
zeros.

Answers

Answer:

Two zeroes

Step-by-step explanation:

A zero is where the graph meets the x-axis. If it hits the axis twice, there are two zeroes.

Find m∠YOZ in the figure if m∠XOZ = 86°.

Question 1 options:

A)
65°

B)


C)
42°

D)
43°

Answers

One part of the angle is 3x, and the other part is 6x+23, so putting them together gets 9x+23=86. Subtract the 23 and we get 9x=63. We know that 9•7=63, so x=7, and now we can solve the angle. 6x=42, and 42+23=65, so the answer is:

A) 65°

Answer:

A. 65

Step-by-step explanation:

First, you would need to find x.

You would combine both equations it would become, 6x+23+3x=86.

Then, combine like terms, 9x+23=86.

And subtract 23 from both sides, 9x = 63.

Lastly, divide both sides by 9.

x = 7

Now with the equation 6x+23, you replace x with 7, 6(7)+23.

Then multiply 42+23, and add 42+23= 65.

Lisa wears 10 rings in her hand. Each ring weights 250 grams. Find the
weight of all the rings in kilogram.

Answers

Answer:

2.5 kilograms

Step-by-step explanation:

10 rings times each weight ring(250)=2500

2500 grams to kilograms is 2.5

Can someone help me out, I'm having trouble on these two questions.

Answers

Answer:

Step-by-step explanation:

7,A=9*6sin30°

=54*0.5

A= 27

8,A=6*10sin60°

A= 60*0.86

A=52....... approximately

9, A=1/2bh

A=0.5*x*xroot 3

A=root3/2 x^2

You can find x using trigonometric values

pls help show ALL work

Answers

Answer:

B. 5.81

Step-by-step explanation:

So to get this answer, you'd first find how much square inches are on the cheese. We know its 9/10 of the pizza and the pizza is 215 square inches. To find out what is 9/10 of the pizza you'd multiply 215 by 9 then divide by 10. That'd leave you with 193.5 then you multiply that by the cost $0.03 then get 5.805 which rounds up to 5.81.

Can someone help me on these two questions?

Answers

Answer:

in figure 1 the value of X is 20° and figure 2 the value of X is 19° and y is 123°

Can you help me out on this question?

Answers

Answer:

4. x= 18

Step-by-step explanation:

We solve the problem like this:

Since 3 is proportional to 6 and 9 is proportional to x, we set up a proportion.

3/9 = 6/x  

We then use cross-multiplication to solve for x.

Solve for y
-1 + y/8< 15

А. У<7/4
B. y < 2
C. y < 112
D. y<128​

Answers

Answer:

D. y < 128

Step-by-step explanation:

-1 + y/8 < 15

y/8 < 15 + 1

y/8 < 16

y < 16 × 8

y < 128

Answer:

Y<128

Step-by-step explanation:

Step 1: Simplify both sides of the inequality.

1/8y-1<15

Step 2: Add 1 to both sides.

1/8y-1+1<15+1

1/8y=16

Step 3: Multiply both sides by 8.

(8)*(1/8y)<(8)*(16)

Y<128

Please help!!! WILL MARK BRAINLIEST ANSWER!!! A medical researcher designs a study that will investigate the effects of a
new drug on lowering patient's cholesterol level. The researcher randomly
selects participants for two groups. One group is given the new drug and the other group is given a placebo. Any person, within driving distance of the hospital, is allowed to participate and will be given a monetary compensation. Each sample consists of 5 patients. Select all weaknesses in the design.

Answers

 b. more groups should have been

Answer:

C AND D

Step-by-step explanation:

Given that: 2√2−√5 / 3√2+2√5 = =

Answers

Answer:

7√10/2 - 11

Step-by-step explanation:

(2√2−√5) / (3√2+2√5)=

(3√2-2√5)(2√2−√5)/(3√2+2√5)(3√2+-2√5)=

(12+10-3√10-4√10)/(18-20)=

(22-7√10)/-2= 7√10/2 - 11

HELP!!!
Solve for x given that CE = 36.
Show your work

Answers

Answer:

x=7

Step-by-step explanation:

CE = 36

CE = 9+(3x+6) = 9+6+3x = 15+3x

36= 15+3x

36-15 = 15-15+3x (removing 15 from left side also means removing 15 from right side)

21 = 3x

x= 21/3 = 7

Answer:

x=7

Step-by-step explanation:

First, I wrote down the equation.

3x+6=36-9

Then, I simplified it.

3x+6=27

Then, I moved the six from the right to the left.

3x=21

After that, I divided both sides by 3.

x=7

Yay! You got your answer!

Which equation is a function of x?
A. x = 5
B. x = y squared + 9
C. x squared = y
D. x squared = y squared + 16

Answers

Answer:

C: X^2= Y

I got it right on Edge

Answer:

Pretty sure its x2 =y

Step-by-step explanation:

Mind helping me out a bit? (Which of the rectangular boxes shown has the greater volume?) (Will give Brainliest if you are the first person, and IF YOUR CORRECT) ^.^

Answers

Answer:

Both are equal in volume

Could you plz help me with this one question

Answers

The answer is 90

Hope this helped

Answer:

90 degrees.

Step-by-step explanation:

Add all of the degrees together 270 plus 90 its makes a 360 degree.

Which expression represents the greatest common factor (GCF) of 105 and 126? A. 3 x 7 B. 2 x 5 x 7 C. 2 x 3 x 7 D. 5 x 7
(HELP AS FAST AS YOU CAN PLEASE!!!!!)

Answers

Answer:

Step-by-step explanation:

factors of 105:

1, 3, 5, 7, 15, 21, 35, 105

factors of 126:

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

GCF: 3*7 or 21

The  GCF ( 105, 126) =  3 *7 =21.

What is GCF?

The greatest common factor (GCF) of a set of numbers is the largest factor that all the numbers share.

Given:

105 = 3 * 5 * 7

126 = 2 * 3* 3 *7

So, GCF ( 105, 126) =  3 *7 =21

Learn more about GCF here:

https://brainly.com/question/9737217

#SPJ2

what number is being factored in this factor tree?

Answers

Answer:

164

Step-by-step explanation:

82 multiplied by 2

Answer:

164

Step-by-step explanation:

2 *82=164

Expand the binomial using Pascal's triangle
(3x+5)

Answers

Answer:

Step-by-step explanation:

0.           1

1.          1  1

2.         1  2  1

3.        1  3  3  1

4.       1  4  6  4  1

5.      1  5  10  10  5  1

6.     1  6  15  20  15  6  1

7.    1  7  21  35  35  21  7  1

8.   1  8  28  56  70  56  28  8  1

One angle is
angle is 65 degrees, the other is
90 degrees, what is my missing angle?
What is my first and last name?

Answers

Answer:

your missing angle is

90+65 = 155

180-155 = 25

so your missing angle is 25 degrees

The table represents a liner function. What is the slope of the function?
O-3
O-2
O 3
O 4

Answers

Answer:

The slope is 3.

Step-by-step explanation:

Let's use the slope formula to calculate the slope of this function. Remember, slope equals rise over run, or the difference between y coordinates divided by the difference between x coordinates of 2 points on the graph.

Let's use the last 2 points in the table: (1, 7) and (2, 10)

[tex]\frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]

= [tex]\frac{10 - 7}{2 - 1}[/tex]

= [tex]\frac{3}{1}[/tex]

The slope of this function is 3!

Hope this helps :) Feel free to ask me any questions!

solve this system of linear equations, separate the x- and y-values with a comma. -4x=-60-19y -7x=-48-19y

Answers

Answer:

The solution is at (-4,-4).

Step-by-step explanation:

(-4x=-60-19y)-1          Multiply by -1

4x = 60 + 19y

-7x = -48 - 19y         Add both equations together

-3x = 12                   Divide both sides by -3

x = -4

Plug this into the first equation to find the value of y

-4(-4) = -60 - 19y        Multiply

16 = -60 - 19y

+60  +60                    Add 60 to both sides

76 = -19y                    Divide both sides by -19

y = -4

Change the mixed number into an improper faction 6 5/12

Answers

Answer:

77/12

Step-by-step explanation:

Step 1

Multiply the denominator by the whole number

12 × 6 = 72

Step 2

Add the answer from Step 1 to the numerator

72 + 5 = 77

Step 3

Write answer from Step 2 over the denominator

77/12

=12×6+512= 77/12

Answer:

77/12

Step-by-step explanation:

You multiply the whole number by the station's denominator. You will get 72.

Then you add the 72/12 and 5/12 together.

You will get 77/12.

Select the correct solution in each column of the table.
Solve the following equation.
18
12 + 6s
Examine the given table, and select the accurate number of each type of solution, as well as any real solutions that exist.
Number of
Real Solutions
Number of
Extraneous
Solutions
Real Solutions
0
0
x = 0
1
1
x= 3
2
x = 0, x= 3
N

Answers

Answer:

Number of  Real Solutions = 1

Number of  Extraneous Solutions = 1

Real Solutions = (x = 3)

The math club needs to raise more than $552.50 for a trip to the state competition. The club
has raised 12% of the funds. Which inequality shows how much money each of the 7 club
members needs to raise if each raises the same amount?
A
m< $69.45
В
m> $69.45
C
m<$72.35
D
m> $72.35

Answers

Answer:

A or B

Step-by-step explanation:

Leaning more towards B- u want the club to earn more not less

The correct inequality is m> $69.45

What is Inequality?

Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

Given:

The math club needs to raise more than $552.50 for a trip to the state competition.

The club has raised 12% of the funds.

To represent the inequality we have to perform the following function

=552.50 x 0.12

=66.3

The amount remained= 552.50 - 66.3 = $486.2

So, for the 7 members = 486.2/7

                                     = $69.45

Hence, the inequality is m>$69.45

Learn more about inequality here:

https://brainly.com/question/28823603

#SPJ5

9) Find the midpoint of the line segment with the given endpoints: (6,3), (-2,7)
A. (-10, 11)
B. (2,5)
C. (4,-2)
D. (-1,0)

Answers

Answer:

B. (2,5)

Step-by-step explanation:

Given

Points:  (6,3), (-2,7)

Required

Midpoint

Midpoint is calculated as follows:

[tex](x,y) = (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

Where

[tex](x_1,y_1) = (6,3)[/tex]

[tex](x_2,y_2) = (-2,7)[/tex]

So,

[tex]x_1 = 6; y_1 = 3; x_2 = -2; y_2 = 7[/tex]

By substituting these values in the given formula

[tex](x,y) = (\frac{6-2}{2},\frac{3+7}{2})[/tex]

[tex](x,y) = (\frac{4}{2},\frac{10}{2})[/tex]

[tex](x,y) = (2,5)[/tex]

Hence, the midpoint of the line segment is (2,5)

The surface area of a cube is 24 square inches.
What is the side length of the cube?

Answers

Answer:

2 inches

Step-by-step explanation:

A cube has 6 faces. Therefore, each face is 4 square inches. (24/6) The side length of the square (face of the cube) is the square root of the area. The square root of 4 is 2. There is your answer :)

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