Shannon is asked to draw a quadrilateral with the following specifications.

two opposite angles measure 51°
adjacent angles are supplementary
a side length of eight inches

Which of the following statements about this quadrilateral is true?
A. Exactly one quadrilateral exists with the given conditions, and it must be a parallelogram.

B. More than one quadrilateral exists with the given conditions, and all instances must be parallelograms.

C. Exactly one quadrilateral exists with the given conditions, and it must be a rhombus.

D. More than one quadrilateral exists with the given conditions, and all instances must be rhombuses.

Answers

Answer 1

Answer:

C. Exactly one quadrilateral exists with the given conditions, and it must be a rhombus.

Step-by-step explanation:

Rectangular

Has 4 sides that are the same length

Has 4 angles of 90 degrees

Has 4 axes of rotation and folding symmetry

꧁༺62ᴅᴏᴄ༻꧂

Answer 2
C.Exactly one quadrilateral exists with the given conditions and it must be a rhombus.

Related Questions

Brittany went grocery shopping , she spent 4/7 of her money on fresh foods. she spent 2/3 of the remainder of her money on frozen foods. if she spent 22$ on frozen foods. how much money did she spend on fresh foods?

Answers

Answer:

$44

Step-by-step explanation:

Let the total amount of money be represented by Y

Amount spent on fresh food =

[tex] \frac{4}{7} \times y[/tex]

Remainder =

[tex]y - \frac{4}{7}y = \frac{3}{7} y[/tex]

Amount spent on frozen foods = two-thirds of remainder = $22

[tex] = \frac{2}{3} \times \frac{3}{7} y = \frac{2}{7} y[/tex]

[tex]\frac{2}{7} y = 22 \\ y = 22 \times \frac{7}{2} \\ y = 77[/tex]

The total amount for grocery shopping is $77

Therefore, Brittany spent $44 on fresh foods

[tex] = \frac{4}{7} \times 77 \\ = 4 \times 11 \\ = 44[/tex]

$44 because if $22 is 2/3 than 1/3 is $11 this means that 7/7 is $77 so this means that 4/7 is $44

Please help me! Thank you

Answers

the answer option has been attached

Step-by-step explanation:

Tell thanks to my sister pökalati

Lenny bought a motorcycle for 30% off the original price. If the original price was $11,500 how much did he pay for the motorcycle on sale?

Answers

11500*0.7=8050

8050 dollars
So he got 30 percent off so he will pay 8050

9*10^7 is how many times as large as 3*10^-2

Answers

Answer:

A

Step-by-step explanation:

9 is 3 times larger than 3

10^7 is 10^5 times larger than 10^-2.

(just subtract the exponent)

I hope this helps!

pls ❤ and mark brainliest pls!

Find the number that makes the ratio equivalent to 11:77.
:7

Answers

Answer:

1

Step-by-step explanation:

divide both side by 11 and you get 1:7

Answer:

1:7

Step-by-step explanation:

11:77 = 11/77 = 1/7 = 1:7

Divide each side by 11

the sum of three consecutive odd integers. what are the three integers

Answers

Answer:

I dont know

Step-by-step explanation:

Answer:

Complete step-by-step answer:

Sum of 3 consecutive odd numbers is equal to 51.

Let the odd number be ‘x’. Then the next consecutive odd number becomes ‘x + 2’ and the next term becomes x + 2 + 2 = ‘x + 4’.

Now the sum of these three odd consecutive terms = x + x + 2 + x + 4 = 3x + 6.

According to the given, 3x + 6 = 51.

⟹3x = 51 – 6

⟹x =453=15.

Hence, the numbers are 15, 17 and 19.

Note: In order to solve this type of questions the key is to consider a variable to be odd and compute the sum of three consecutive odd numbers in terms of this variable. Then by solving for this variable we can determine the numbers. Any odd number added with 2 gives an odd number itself.

Step-by-step explanation:

Calculate the Mean: 24, 27, 31, 21, 27​

Answers

24+27+31+21+27 divided by 5 = 26. Your final answer is 26 :)

Answer: 26

Step-by-step explanation:

mean is the same thing as finding the average

you add up all the numbers then divide by the amount of numbers there are

24+27+31+21+27=130

130\5=26

A spinner with five equal-sized colored sections is spun with the results shown in the table. Based on the experimental probability, predict the number of green results for 240 trials.

Red Orange Yellow Green Blue
15 17 16 18 14
18
36
54
72

Answers

Answer:

I'd guess 54

Step-by-step explanation:

If the sections are all equal sized, there's an equal chance the arrow/spinner would land on them. If you divide 240 by 5, you get 48. The closest number to 48 is 54.

I think the answer is 54

Mrs. Balbas makes a batch of cookies for her math class. Aaron takes 1/6 of the cookies and runs out the door. Matthew then takes 1/5 of the cookies that are left. Paige takes 1/4 of what remains after Matthew leaves. Koji takes 1/3of what remains after Paige, and then Dylan grabs half of the remaining cookies after Koji. Gavin then swoops in and grabs the last remaining 6 cookies. The rest of the class gets nothing and begins to collectively cry. How many cookies were in the batch, to begin with?

Answers

Answer:

36

Step-by-step explanation:

After dylan took half of the cookies and 6 were left there were

12 before he took any

Than If Koji took a 3rd when 12 were left there were 18

Than if Paige took a 1/4 of what was left when there were 18 there were 24

This same pattern is the same for the next 2

24+6 = 30 and than 30+6 = 36

TLDR;

remove 6 per person meaning there were 36 to begin

Mrs. Balbas makes a batch of cookies for her math class. Aaron takes 1/6 of the cookies and runs out the door. Matthew then takes 1/5 of the cookies that are left. Paige takes 1/4 of what remains after Matthew leaves. Koji takes 1/3of what remains after Paige, and then Dylan grabs half of the remaining cookies after Koji. Gavin then swoops in and grabs the last remaining 6 cookies then the batch initially had 432 cookies.

Mrs. Balbas baked a batch of cookies for her math class.

1. Aaron takes 1/6 of the cookies:

If "C" represents the initial number of cookies, Aaron takes (1/6)C cookies, leaving (5/6)C cookies.

2. Matthew takes 1/5 of the remaining cookies:

Matthew takes (1/5)(5/6)C = (1/6)C cookies, leaving (5/6)C - (1/6)C = (2/3)C cookies.

3. Paige takes 1/4 of the remaining cookies:

Paige takes (1/4)(2/3)C = (1/6)C cookies, leaving (2/3)C - (1/6)C = (1/2)C cookies.

4. Koji takes 1/3 of the remaining cookies:

Koji takes (1/3)(1/2)C = (1/6)C cookies, leaving (1/2)C - (1/6)C = (1/3)C cookies.

5. Dylan takes half of the remaining cookies:

Dylan takes (1/2)(1/3)C = (1/6)C cookies, leaving (1/3)C - (1/6)C = (1/6)C cookies.

6. Gavin takes the last 6 cookies:

The remaining (1/6)C - 6 cookies are taken by Gavin.

7. The rest of the class gets nothing, leaving 0 cookies.

Now, let's add up the amounts taken by each student:

- Aaron: (1/6)C

- Matthew: (1/6)C

- Paige: (1/6)C

- Koji: (1/6)C

- Dylan: (1/6)C

- Gavin: 6 cookies

Adding all these together, we get:

(1/6)C + (1/6)C + (1/6)C + (1/6)C + (1/6)C + 6 = (5/6)C + 6

Since the remaining cookies are accounted for,

we know that (5/6)C + 6 = 0, which gives us C = 432.

Therefore, the initial batch had 432 cookies.

To know more about Initial Batch here

https://brainly.com/question/31873990

#SPJ3

Simplify the following expressions:

1. 12a + 14b + 7a^2 -13b + 3 =

2. (p^4 y^7)^3 =

3. r^8 (ra)^-3 (write without negative exponent) =

4. x^8• (2x)^3 =

Answers

Answer:

Anssss::12a+ b+ 7a^ { 2 } +3

12a+b+7a^{ 2 } +3 :)

Help!
Farmer Doug has some pigs and chickens.
One day he counted 24 legs 7 heads in the barnyard.
How many of each animal did Farmer Doug Count? __

With Explanation, please!

Answers

The one about to answer is right sorry
There would be 5 pigs because 5 x 4 = 20 and that would be 5/7 pigs and then 4 legs/2 heads left over and chickens have 2 legs so 2 chickens and 5 pigs

What is the equation of the line?

Answers

Answer:

y = 1/2 - 3/2

Step-by-step explanation:

All we need to do is find the y-intercept of the line using the formula for slope intercept form [ y = mx + b ].

-3 = 1/2(-3) + b

-3 = -1.5 + b

-1.5 = b

We can put all the information we know/solved for into the formula.

y = 1/2 - 1.5

Best of Luck!

Answer:

The equation of the line is y = 1/2x - 3/2

Step-by-step explanation:

Plug in point (-3, 3) with slope 1/2 into y = mx + b

-3 = 1/2(-3) + b

-3 = -3/2 + b

+3/2     +3/2

-------------------

-3/2 = b

hence, y = 1/2x - 3/2

Find the size of each missing angle. (image attached)

Answers

Answer:

a is right angle

Step-by-step explanation:

a-110
b-75
c-128
d-78
e-58
f-71

if there is 1/2 of a pizza and jonas only wants 1/3 of the pizza, how much will he get?
A. 1/5
B. 2/5
C. 1/6
D, 2/6

Answers

Answer:

Option C is the right answer.

Step-by-step explanation:

1/2 × 1/3 = 1/6

Answer:

C. 1/6

Step-by-step explanation:

it is not a whole pizza, it is half, so 1/3 of a half pizza is equal to 1/6 a whole pizza.

Identify each solution as rational or irrational square root of 4 times 2/5

Answers

Answer:

I hope this helps <3

Step-by-step explanation:

Using a calculator, √1.6=1.26491.... , which is an irrational number

It’s irrational hope this helpsssssss

A 100-meter sprint is a race using only the straight side of a race track. A 400-meter stick is a race that makes one complete a lap around a racetrack. Why are velocity and speed the same for a 100 m sprint but not a 400 m sprint

Answers

Answer

Because velocity and speed differ each other by direction, in a 100 m sprint race the person moves in a straight path without changing its direction where as in a 400 m race. The person moves in a lap around the race track and the direction changes as he turns according to the race track.

Step-by-step explanation:

<3

Because velocity and speed differ

Evan's pizzeria made 4 thin-crust pizzas and 30 thick-crust pizzas. What is the ratio of the number of thick-crust pizzas to the total number of pizzas?

Answers

Answer:

30:34

Step-by-step explanation:

30 = thick crust pizza

4 = thin crust pizza

total = 34

=

30:34

Total pizza = 34
Number of thick crust pizza = 30
So the ratio will

30:34
(Both are divisible by 2)

15:17
That would be your final answer

​On-the-Go Phone Company has two monthly plans for their customers. The EZ Pay Plan costs​ $0.15
per minute. The 40 to Go Plan costs​ $40 per month plus​ $0.05 per minute.
​a) Write an expression that represents the monthly bill for x minutes on the EZ Pay Plan.
​b) Write an expression that represents the monthly bill for x minutes on the 40 to Go Plan.
​c) Write an equation to represent the point at which the monthly bills for the two plans are equal.
​d) Solve the​ equation, showing each step.
​e) Interpret the solution of the equation within the context of the problem.

Answers

Answer:

a.  0.15x

b.  40+0.05x

c. 0.15x=40+0.05x

15x=4000+5x

x=400 min

The Mediterranean climate is one of the:

polar climates
low-latitude climates
maritime climates
mid-latitude climates

Answers

its one of the maritime climates

Maritime climates!! Is the correct answer

GIVING BRAINLIEST, THANKS AND FIVE STARS!!
Express each number as a product of its prime numbers.


1. 245


2. 510


3. 250


4. 1,089


5. 4,725


6. 900


18. 27,000

Answers

Answer:

Numbers expressed as a product of prime factors are as follows:-

1. 245 = 5 × 7 × 7

2. 510 = 2 × 3 × 5 × 17

3. 250 = 2 × 5 × 5 × 5

4. 1089 = 3 × 3 × 11 × 11

5. 4725 = 3 × 3 × 3 × 5 × 5 × 7

6. 900 = 2 × 2 × 3 × 3 × 5 × 5

18. 27000 = 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5

Which is a TRUE statement about the transformation shown?



A
The graph shows a dilation, and the pre-image and image are similar.

B
The graph shows a translation, and the pre-image and image are congruent.

C
The graph shows a reflection, and the pre-image and image are congruent.

D
The graph shows a translation, and the pre-image and image are similar.

Answers

Answer:

I think C is the correct answer

a true statement is answer a

Identify the graph of the following equation.

x ≥ 1

Answers

Answer:

It's the 5th answer / E

Step-by-step explanation:

the correct answer would be the second option or b. this is because the inequality shown is relating x to an answer, so the graph will show all possible x values. for this problem, these values are all of the x values greater than or equal to 1.

Pre-algebra
8th grade
I will give everything that I can give you I just need to understand this

Answers

Write down the numbers in the chart, write them on a number line, put a point on the number farthest from 0, Closer
37 metershgyvyvyvyvvygyvyvygygybygyb

Determine the surface area of the cylinder below.

351.9 m2

301.6 m2

251.3 m2

452.4 m2

Answers

Pix10x2x4 (the radius of the circle) = 251.3274m2
4x4xpi= 50.2654m2

251.3274+50.2654= 301.59m2 (if you round it to 1 decimal place, then it will = 301.6m2)

Answer: 301.6m2

Please help me!!!!!!!!!!

Answers

1.5 pieces of a pie
Ur answer

Help needed asap please

Answers

Answer:

I don't understand the language you used

No because thier ain’t enough

I. Describing a Translation

Example 1: Describe the following translation in words and in coordinate notation

Answers

To find the translation you need to count how far each point is moving. It goes downwards three times while moving left 5 times, this means that the rise is negative 3 and the run is -5. (-3/-5)
I dont remember much of this but if I'm correct the formula for this coordinate notation is (x, y) -> (x - 5, y - 3) Please check this
Translation
If it’s blue to green it’s (-5,-3)

Please help me! I need details! Please be specific. Thank you!

Answers

part a: the origin is (0,0)
part b: to plot each point, from the origin you move left or right on the x axis depending on if the number negative or positive, then go up or down, depending on if the number is positive or negative
negative numbers go to the left and down
positive numbers go to right and up
(x,y)
0,0 hope this helps you

Point Q is the image of (-7, 2) under a translation of 8 units to the right and 2 units up.
QUESTION: where is point q?

Answers

point Q is at (1,4).
the point is at (1,4)

Find the number that makes the ratio equivalent to 21:9.
84:

Answers

Answer:

36

Step-by-step explanation:

21/9=84/x

x=84(9/21)

x=36

42,168 is the equivalent no.
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