Mathematics Middle School

Which dimensions can create only one unique triangle?
A.) 3 angles measuring 75 degrees, 45 degrees, and 50 degrees
B.) 3 sides measuring 14 m, 11 m, and 18 m
C.) 3 angles measuring 40 degrees, 50 degrees, and 60 degrees
D.) 3 sides measuring 3 cm, 4 cm, and 8 cm

Answers

Answer 1

Answer:

B)

Step-by-step explanation:

A, C, and D multiple choice answers have no chance of becoming a triangle because the lengths don't add up to either 180 or 90. Also, Triangle B follows the rule that 2 sides and be greater than the other side.

Answer 2

Answer: Choice B)

3 sides measuring 14 m, 11 m, and 18 m

=================================================

Explanation:

Let's go through choices A through D to see which result in one unique triangle, or could produce (infinitely) many triangles, or produce no triangles at all.

Choice A produces no triangles at all. Why is this? The angles don't add up to 180. We see that 75+45+50 = 170. The three angles must add to 180 degrees for a triangle to form. Choice B produces one single triangle, which is why it's the final answer. The triangle inequality theorem can be used here to show that a triangle can be formed. The SSS (side side side) congruence theorem is then used to show that exactly one unique triangle is possible. Choice C is a similar story to choice A. We can rule it out. This time we have the angles add to 40+50+60 = 150 which is short of 180.Choice D can be ruled out too. The two sides a = 3 and b = 4 add to a+b = 3+4 = 7, but that's smaller than c = 8. We must have a+b > c to be true if we wanted to form a triangle. For more info, see the triangle inequality theorem.

Even if the angles did add to 180 (for either choice A or choice C), then we'd have infinitely many triangles and not one unique triangle. Think of dilating the triangles and how each dilated image retains the same angles. In other words, the triangles keep the same shape. Simply knowing the three angles is not enough info to create one unique triangle. We would need to know some info about the sides. This explains why AA or AAA is not a congruence theorem.

Related Questions

HELP!! A landscaper drew a scale drawing of a rectangular yard using the scale, 2cm : 3 m , before beginning to work on the yard.
a) The landscaper plans to put a fence around the entire yard. how many meters of fencing does she need?
b) The landscaper plans to create a rectangular garden that is 1/3 the size of the actual yard. what is the area of the garden? PLEASE SHOW YOUR WORK!

Answers

Here’s a written work of the question hope this helps

Use the angle relationship to find the value of x.

Answers

Answer:

Hello! answer: x = 11

Step-by-step explanation:

These are vertical angles in simple terms meaning they are across from each other and if you folded them over each other they would match up and they will equal the same measure so 13 × 11 = 143 143 - 10 = 133 therefore x = 11 Hope that helps!

X = 11
Both of those angles are equal to each other, so 133= 13x-10, add 10 from both sides to cancel out the “-10”. You get 143=13x and then divide both sides by 13 and you get x= 11

Please help me ill give brainliest

Answers

Answer:

lol

Step-by-step explanation:

its ez stop cheating XD

Last one, omg so ready to be done with school.

Answers

Answer:

It would be G but i dont know

Step-by-step explanation:

Answer:

G

Step-by-step explanation:

When all are multiplied by 2 the deduction will be correct except option G

Find the area of the following figure. Show your work.

Answers

Answer:

I think the answer is 46 because 9 + 23 + 7 + 7 = 46.

Step-by-step explanation:

                           HOPE THIS HELPS YOU!!!!!!! :) :) :) :) :)

                                SORRY IF IT'S WRONG. :) :) :) :) :)

The correct answer for the problem proved is 46.

I need this answer and i need it fast. 100 points,

Maria is conducting a survey to determine the ages of 100 dogs in an animal shelter.

Which of the following questions is an appropriate statistical question for this survey?


What is the number of dogs in the shelter that are more than 5 years old?

What is the average number of years a dog stays at the shelter?

How old is the youngest dog in the animal shelter?

How old is each dog in the animal shelter?

Answers

Answer:

I would believe the answer would be

What is the number of dogs in the shelter that are more than 5 years old?

I don't know for sure though so answer at your own risk :)

The first one I believe

pls helP!
will give brainlise

Answers

Answer:

A, D, E

Step-by-step explanation:

x and y should add up to 120 bc 180- 60= 120 so thats the only value we're missing

Answer: A, D, and E

Step-by-step explanation:

When you add up all the angles of a triangle it =180. SO you have to figure out what plus 60=180. A, D, and E all equaled to 180 when I added 60 to it

i’ll mark as brainliest if correct :)

Answers

Answer:

C and D are the corect answers

Step-by-step explanation:

C and d are the correct answers

Please help me with this question asap

Answers

Answer:

1

Step-by-step explanation:

18x12 = 216

so now lets multiply the area of the door 7x3 21 216-21=195

Answer:

Only 1 gallon of paint because 18 × 12 = 216 7 × 3 = 21 216 - 21 = 195 since it can hold up to 200 and the area is 195 you will only need 1 gallon of paint hope that helps

please answer the 1 question in the picture, thanks

Answers

Answer:

40

Step-by-step explanation:

LxW=A

So 4x10=40

Hope this helps

A=bh

A=4 x 10

A=40

Therefore, the area of the parallelogram is 40 square centimeters.

There are 16 dogs at the dog park on a busy Saturday. 8 of them are dachshunds.
What is the probability that a randomly selected dog is a dachshund?
Write your answer as a fraction or whole number.

Answers

Answer:

8/16 or 1/2 or 50 percent.

Step-by-step explanation:

8 out of 16 dogs are dachshunds so it will be 8/16.

8/16 / 2 on both top and bottom you get 4/8 which can be /2 again and again to get 1/2

If a temperature in degrees Celsius is given as C, finding the sum of 1.8 times C and 32 gives the temperature in degrees Fahrenheit.
The temperature in degrees Fahrenheit is given by blank and 40°C is equal to blank °F

Answers

Answer: 40° is the temperature for which the number of degrees Fahrenheit is equal to the number of degrees Celsius. Step-by-step explanation: Given : F = 1.8C + 32 gives the temperature in degrees Fahrenheit (F ) for a given temperature in degrees Celsius (C ).




hope this helps
Answer;


The temperature in degrees Fahrenheit is given by

40°C is equal to 104°F
Step-by-step explanation:
We can find the formula to find the temperature in degrees Fahrenheit with the problem information, the temperature in degrees Fahrenheit is given by:
(1)
F: Temperature in degrees Fahrenheit
C: Temperature in degrees Celsius
Now, with the equation (1) e can find how many degrees Fahrenheit are 40 degrees Celsius.
We need to replace 40 °C in the equation (1)

F= 104 degrees Fahrenheit.

Write 0.78 as a fraction in the simplest form.
the 78 in 0.78 has a line above it, which means they go on forever.
please help, this is sixth grade math.

Answers

Answer:

39/50

Step-by-step explanation:

I hope this is the answer I skipped 6th grade math

Answer:

78/100

Step-by-step explanation:70 and 100 are even so each can be divided by 2

I could use a hand here

Answers

Answer:

A. 48

B. 24

C. C

Step-by-step explanation:

To divide up whole numbers by fractions, you simply need to just multiply the whole number by the reciprocal of the fraction. in other words, flip the fraction.

Ex.

12 ÷ 1/4

=

12 x 4

Ex. 2

12 ÷ 1/2

=

12 x 2

the answer is 12=2 I think the top answer is correct

A submarine that is 245 feet below sea level descends 83 feet and then ascends 103 feet. Which represents the location of the submarine compared to sea level?
Group of answer choices

-265 ft

431 ft

-225 ft

265 ft

Answers

Answer: 245-83+103= 265 so it would be negtive 265

Step-by-step explanation:

it’s would be 265 :D

please help me its gonna be due soon/(part 2/2)

Answers

I would be B m=25n because Martin’s class sold a total of 25 tickets
I should be (b) ....

What is the answer to these? And how do you do them? Brainliest to best answer

Answers

Answer:

I can't see

Step-by-step explanation:

do you mind zooming in

pls help me with this

Answers

Answer:172.28 Square Yards

172.28 is the answer love:)

Please help. Find the value of X

Answers

Answer:

X=9

HOPE THIS HELPS

-Todo ❤️

Step-by-step explanation:

90+32+4+6x=180

-126. -126

6x=54

X=9

9=x
Minutes 32 from 90
You get 54 so set your equation to 58
6x+4=58
Minus four from both sides
6x=54
Divide by 6 to get the variable by itself
x=9

GIVING BRAINLIEST TO BEST EXPLANATION AND CORRECT ANSWER!!!!!!!
OPEN DOCUMENT TO FIND QUESTION AND ANSWER!


PLEASE HELP

Answers

Chill dude.                          

Stop with the all caps.    

25 is the answer.

G = green sweets

Ratio of blue to green = 3:5

Ratios are essentially fractions, and can be converted into fraction form

Therefore, number of blue sweets is 3/5 of green sweets, which can also be represented as 3/5g

Number of green sweets to red sweets is 6:1

We can also flip this ratio around and the ratio would still have the same value.

Number of red sweets to green sweets = 1:6

In fraction form, the number of red sweets is 1/6 of green sweets, which is also 1/6g.

Since there are less than 270 sweets in the box, we can use this expression to represent the sweets in the box:

G + 3/5g + 1/6g < 270

Find a common denominator for the fractions.

5 * 6 = 30, thus a common denominator would be 30.

Since G is a variable with no coefficient, 1 would be implied because no coefficient is present.

So when multiplying G to get a common denominator, the numerator would be 30. 30/30 = 1

G * 30 = 1 * 30

G = 30/30g

Multiply the rest of the numerators and you’ll get:

30/30g + 18/30g + 5/30g < 270

Add.

1 + 18/30g + 5/30g = 1 23/30g

Convert this into an improper fraction.

53/30g < 270

Now divide both sides by 53/30.

(53/30g) ÷ (53/30) < 270 ÷ (53/30)

= g < 270 ÷ (53/30)

Dividing fractions is complex, so you can simply switch the numerator and denominator and multiply:

G < 270 x (30/53)

= g < 8,100/53

Since the number of red sweets to green sweets is 1/6g the number of green sweets, the number of red sweets is 1/6 of 8,100/53.

R = red sweets

R < 8,100/53 x 1/6

8,100 x 1 = 8,100

53 x 6 = 318

R < 8,100/318

318 goes into 8,100 25 times, regardless of any remainder.

Therefore, the greatest possible number of red sweets in the box is 25 red sweets.

At a game booth, a student gets a box of candy as the prize for winning a game. The boxes come in four colors: white, red, green, and blue. There are 10 boxes of each color. All the boxes are equally likely to be given away as prizes. Which expression shows the probability of the first winner receiving a white box and the second winner also receiving a box of the same color? (1 point)

Select one:
a. (10/40) * (9/39)
b. (10/40) * (10/39)
c. (10/40) + (9/39)
d. (10/40) + (10/39)

Answers

Answer:

a. (10/40) * (9/39)

Step-by-step explanation:

Since, the total number of white box = 10,

Red box = 10,

Green box = 10,

And, Blue box = 10,

Thus, the total number of boxes = 10 + 10 + 10 + 10 = 40

The probability of receiving white box by first winner =  White box / Total box = 10/40

Since, the replacing is not allowed ( Because, here boxes are allotted )

Thus, the remaining white box = 10 - 1 = 9,

And, the remaining total boxes = 40 - 1 = 39,

Thus, the probability of receiving white box by second winner = Remaining white box / Remaining total box = 9/39

Hence, the probability of the first winner receiving a white box and the second winner also receiving a box of the same color = 10/40 * 9/39

Which is required expression.  

50 Points Answer correctly please. :)

Jolie was surveying students about their use of the new math lab in a school. Which question in the survey is a statistical question?

A
Who is the trainer at the math lab?

B
Where is the math lab located in the school?

C
What is the number of learning stations at the math lab?

D
How many activities did you like that you performed in the math lab?

And i SWEAR TO GOD IF ONE OF YOU GUYS PUTS ONE OF THOSE LINKS! YOUR ANSWER WILL BE DELETED IMMEDIATELY!!!

Answers

Answer: D

Step-by-step explanation: It has a variety of answers, that can be chosen.

Answer:

C

Step-by-step explanation:

Helpppppppp plzzzz thank youu

Answers

Answer:

8 dogs

Step-by-step explanation:

4 dogs: 6 houses

? dogs: 12 houses

[tex]\frac{4}{6}=\frac{?}{12}[/tex]

[tex]6*?=48[/tex]

[tex]?=8[/tex]

I DONT KNOWWW TRY 8 orrrrr don’t .. im sorry

Use benchmark fractions to compare 2/9 and 5/6. Part A Which of the following is a benchmark fraction Heather can use to compare the two fractions?

Answers

Answer:

30

Step-by-step explanation:

2/9 and 5/6 have a lcm of 30.

The answer I’ve got was 30 hope it’s right

.


There are 3 peaches for every 4 strawberries in a grocery store. How many peaches and strawberries can be in a grocery store?



a. 42 peaches and 56 strawberries

b. 36 peaches and 52 strawberries

c. 33 peaches and 40 strawberries

d. 39 peaches and 48 strawberries

Answers

Answer:

A

Step-by-step explanation:

3x14=42

4x14=56

ASPA PLS HELP

Which figures are polygons?

Select each correct answer.


Figure A

Figure B

Figure C

Figure D

Answers

Answer: Figure A and Figure D

Explanation:
:)

Answer:

b

Step-by-step explanation:

the angles have to be straight

- 7th Grade Work -

Can someone please help me? I really need it.

Answers

Answer:

RentNSave is 0.05x+2.5 more

Step-by-step explanation:

hey if anyone can pls answer this including a step - by - step explanation it would help me a lot ty! :)) (CORRECTLY ANSWERED)

Answers

You have to find the total number of computers to find the denominator: 72 + 112 + 711 = 895.To find the probability, you just have to set the number of the different kinds of computers as the numerator:72/895 = 0.080112/895 = 0.125711/895 = 0.794

HOPE THIS HELPED YOU :)

total number of computers =895 then plug in the the other types of computers and use as the denominator to find probability

Please help, I give brainliest.

Answers

Answer:

12

Step-by-step explanation: I agree with the first person, What I did was add 5 years and 3 years together and got 8 years and used it as a fraction 8/1 and multiplied it with 3/2 and got 24/2 and I divided that to get 12

24 divided by 2= 12

The owner expects you to hand wash each coffee pot before the coffee shop opens. It takes 10 minutes for all of the coffee pots to dry. You spend 82 minutes washing and drying the pots. It takes 4 ½ minutes to clean a coffee pot. How many coffee pots are there? (you only need to put the number)​

Answers

82 - 10= 72
72/4.5 = 16
16 coffee pots
Thier are 16 coffee pots
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