How many unique triangles can be drawn with side lengths 8 in., 12 in., and 24 in.? Explain. A. Any three sides form a unique triangle, so these lengths can be used to draw exactly 1 triangle. B. If you draw two of the sides together, the third side could angle in or out from the existing angle, so these lengths can be used to draw exactly 2 triangles. C. Two of the side lengths add to a sum that is less than the third side length, so these lengths cannot be used to draw any triangles. D. Any three sides form many triangles with different angles, so these lengths can be used to draw infinitely many triangles. i need help quick please

Answers

Answer 1

Answer: C. Two of the side lengths add to a sum that is less than the third side length, so these lengths cannot be used to draw any triangles.

Explanation:

Those two sides in question are 8 and 12. They add to 8+12 = 20, but this sum is less than the third side 24. A triangle cannot be formed.

Try it out yourself. Cut out slips of paper that are 8 units, 12 units, and 24 units respectively. The units could be in inches or cm or mm based on your preference.

Then try to form a triangle with those side lengths. You'll find that it's not possible. If we had the 24 unit side be the horizontal base, so to speak, then we could attach the 8 and 12 unit lengths on either side of this horizontal piece. But then no matter how we rotate those smaller sides, they won't meet up to form the third point for the triangle. The sides are simply too short. Other possible configurations won't work either.

As a rule, the sum of any two sides of a triangle must be larger than the third side. This is the triangle inequality theorem.

That theorem says that the following three inequalities must all be true for a triangle to be possible.

x+y > zx+z > yy+z > x

where x,y,z are the sides of the triangle. They are placeholders for positive real numbers.

So because 8+12 > 24 is a false statement, this means that a triangle is not possible for these given side lengths. Therefore, 0 triangles can be formed.


Related Questions

Amanda buys 4 tickets to the baseball game for $24 each. Which equation

shows the closest estimate of the total amount Amanda spends?

Which equation shows the closest estimate of the total amount Amanda spends

Answers

Answer:

$96

Step-by-step explanation:

Given that,

The total number of tickets = 4

Cost of each baseball = $24

We need to find the equation that shows the closest estimate of the total amount Amanda spends.

Total cost = No. of tickets × Cost of each baseball

= 4×24

= $96

Hence, the total cost is $96.

1/2+3/8=
.............………

Answers

Answer:

its 7/8

Step-by-step explanation:

Answer:

7/8

Step-by-step explanation:

Marshall had d dogs that he put into 4 different areas.

Answers

Divide d by 4 to Get the answer

Complete the pairs of corresponding parts if △RST ≅ △TXY.



∠STR =
∠ XYT
∠ TXY
∠ XTY

Answers

Answer:

∠STR is associated with ∠ XYT

Therefore, we conclude that:

∠STR = ∠ XYT

Step-by-step explanation:

Given

△RST ≅ △TXY

To determine:

∠STR = ?

As

△RST ≅ △TXY

So the triangles △RST and △TXY are congruent to each other.

We know that congruent triangles have equal corresponding parts.

Please check the attached graph.

From the graph, it is clear that:

∠STR is associated with ∠ XYT

so

∠STR = ∠ XYT

Therefore, we conclude that:

∠STR = ∠ XYT

Que
Find the commission.
Earning Commission
Sales Commision Rate Commission
$530
6%

Answers


Commission is 31 dollars and 80 cents.

help asp! i will give branilest i think thats how you spell it
which of the following demonstrates the Distributive Property?

Answers

The answer is D! 4(2a + 3) = 8a + 12

answer pls asap for top and bottom​

Answers

Answer: -1/4

Step-by-step explanation:

Answer:

slope i.e. m is equal to 3/5

Step-by-step explanation:

Use equation y = mx+c where m is slope and c is y intercept i.e. the line of the equation intersect the y axis at a point from the origin . Y intercept can be on +ve y axis and -ve y axis . Here, in your question c is zero as we see and m is 3/5 as we see .

Thanks .

I hope it will help you.

Sally has a discount card that reduces the price of her grocery bill in a certain grocery store by 5%. If c represents the cost of Sally’s groceries, which expression represents Sally’s grocery bill?

Answers

The original price is c. Then the grocery bill will be: c - 0.05c = 0.95 c. You can also say since the beggining that 5% disscount implies 0.95 factor, which leads to c * 0.95 = 0.95c. Sorry if it’s wrong

(REPOST)
Amaia walks from her home to the bank, then to the park, and then to get groceries before heading home. The path she travels is in the shape of a parallelogram and is shown in the diagram below. How many total meters did Amaia walk?

15 points to whoever answers correctly and brainliest!

Help! I need some explanation here!

Answers

Answer:

So its is pretty straight forward (answer at the bottom)

First of all 2 sides of a parrleogram are the dame and the other 2 are different from the first but the opposites are the same

So lets start with The distance from home to bank

x+9 is the distance since its the opposite

Now the other side is 2x+1

The third side is x+9

the fourth side is x+5, it is different from 2x+1 but its just written differently.

Now add them all up

2x+1+x+9+x+5+x+9=

5x+24

So the amount fo meters are 5x+24

The distance covered by Amaia is 5x+24 meters.

What is a parallelogram?

A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure.

Given that, Amaia walks out and covers a distance in a shape of parallelogram,

Therefore, the opposite sides will be equal,

To find the distance covered we will find the perimeter of the parallelogrammical way,

P = x+9+x+9+x+5+2x+1

P = 5x+24

Hence, the distance covered by Amaia is 5x+24 meters.

Learn more about parallelogram, click;

https://brainly.com/question/29147156

#SPJ3

There are eight girls and four boys what is the probability of selecting a boy

Answers

Answer:OK

Step-by-step explanation:

What is the answer to 6x-7=4x5

Answers

Answer:

x=6

Step-by-step explanation:

6x-7=4x+5

-4x. -4x

2x-7=5

+7. +7

2x=12

×=6

Use the given formula to calculate the probability
You are rolling a 6-sided number cube with the
numbers 1 through 6. Which of the following represents
the probability of rolling an even number?
Probability =
Number of desired outcomes
Total number of outcomes
0
1/6
0 1/2
0 1
Intro
Done
6 of 13​

Answers

Answer:

C 1/2

Step-by-step explanation:

i took test on edge

Answer:

C 1/2

Step-by-step explanation:

Find the nth term of -5,-2,3,10,19

Answers

Answer:

PLace them one by one from big number to small and the middle number is the answer.

Step-by-step explanation:

WILL GIVE BRAINLIEST FOR RIGHT ANSWER!


Which mixed number is equivalent to the improper fraction 56/9?

5 6/9

6 2/9

7 8/9

8 4/9

Answers

Answer:

6 2/9

Step-by-step explanation:

given the equation given D=M/V if D=2/3 and v = m + 1, then m is what?

Answers

Answer:

2

Step-by-step explanation:

hey does anyone play nitro type and have nitro type gold ONLY ANSWER IF YOU DO

Answers

Answer:

I do....n't. I dont.

Step-by-step explanation:

To calm your anger take a meme. Consider it...a bribe.

Answer:

Yes

Step-by-step explanation:

my username is h2oman56

Help, Im not smart and I don't get this.
The number of students enrolled at a college is 18,000 and grows 3% each year. Complete parts (a) through (e).​

Answers

Answer:

The number of students enrolled at a college is 18,000 and grows 3% each year. Complete parts (a) through (e).​

​a) The initial amount a is 18,000.

​b) The percent rate of change is 3%, so the growth factor b is 1 + 0.03 = 1.03.

​c) To find the number of students enrolled after one​ year, you calculate 18,000 · 1.03.  

​d) Complete the equation y = 18000 · 1.03^2 to find the number of students enrolled after x years.

​e) Use your equation to predict the number of students enrolled after 21 years.

A stack of books is 5 feet 5 inches high. How high is it in inches?

Answers

Well first, you have to know that there are 12 inches in a foot so, that's 12 / 3 = 4, so that means that for every foot, there are 4 books. The books are 5 feet tall so 4 x 5 = 20. Your answer is: 20 books are in a stack.

Answer:

Step-by-step explanation: I would do 5x12 because there are 12 inches in one foot so 5x12 is 60 so there is 60 inches

What is the scientific notation for (9x10^-3)2

Answers

Answer:

174 I'm pretty sure

Step-by-step explanation:

multiply 9 x10 = 90

subtract 90 - 3=87

multiply 87×2

Answer:81*10^-6 which becomes 8.1*10^-5

? maybe

Step-by-step explanation:

2(13+x) less than or equal to 16

Answers

Answer:

Step-by-step explanation:

here you go mate

step 1

2(13+x)≤ 16

step 2

2(13+x)≤ 16  simplify

2x≤-10

step 3

[tex]\frac{2x}{2}\leq \frac{-10}{2}[/tex]  Divide both sides by (2)

answer

x≤-5

mind if i get brainliest?

Which of the following statements is a property of quadrilaterals?

Answers

Answer:

3rd option; 4 corners called vertices

Step-by-step explanation:

self-explanatory

The statement is a property of quadrilaterals will the quadrilaterals have 4 corners called vertices. Then the correct option is C.

What is a quadrilateral?

The quadrilateral has four sides and four angles. The sum of internal angles is 360 degrees.

The property of the quadrilateral are as follows:

There are four corners.There are four sides.360° is the total of all interior angles.There are two diagonals in them.Both regular and irregular quadrilaterals exist. A regular quadrilateral must have four equal sides, four equal angles, and diagonals that cross each other in a bisecting direction.

The statement is a property of quadrilaterals will the quadrilaterals have 4 corners called vertices. Then the correct option is C.

More about the quadrilateral link is given below.

https://brainly.com/question/13805601

#SPJ2

7x + 4(x+5)
I will give brainliest to first person who answers!!!!!!!!!

Answers

Answer:

Its 11x + 20 !!

Step-by-step explanation: :)

Simplyfiy3 3/4 x 1 1/5

Answers

Answer:

15/4 6/5

Step-by-step explanation:

there simplified

is 0.53 greater than 0.35

Answers

Yesssss lolllllllll......

Answer:

Yes.

Pls mark brainliest. Thanks.

11 = 7 + 4x is what is what is what

Answers

Answer:

x = 1

Step-by-step explanation:

11 = 7 + 4x

Subtract 7 from both sides

11-7 = 7-7 + 4x

4 = 4x

Divide 4 from both sides

4/4 = 4x/4

1 = x

x = 1

Check:

11 = 7 +4(1)

11 = 7+4

11 = 11

Hope this helps. Have a nice day.

Amitola jogs 4.9 miles twice a day. How much does she run every day?

Answers

Answer:

9.8

Step-by-step explanation:

4.9 times 2

Answer:

9.8

Step-by-step explanation:

4.9x2

Jackie's mother is 28 years old, which is four times Jackie's age minus eight years

Answers

Answer:

shes 5

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

The soccer team is planning to sell health bars for a fundraiser. The prices of purchasing health bars from two different companies are represented by the system of equations shown, where x is the number of bars purchased and y is the total cost in dollars. Company A: y=0.75x Company B: y=10+0.50x How many bars would the team need to purchase from each company in order for the total cost to be equal?

Answers

Answer:

40 bars

Step-by-step explanation:

Where x = Number of bars purchased by each team

We solve this question by equating both Equations from Company A to Company B

Company A = Company B

0.75x = 10 + 0.50x

Collect like terms

0.75x - 0.50x = 10

0.25x = 10

x = 10/0.25

x = 40 bars

Hence, each team need to purchase 40 bars from each company

Answer:

Step-by-step explanation:

40


A house with an initial value of $125,000 increases at a rate of 4% per year. Approximately
how many years will it take for the value of the house to reach $225,000?

Answers

Answer: deeznuts

Step-by-step explanation:

6raq stand up 65 taking over on my kids

Sandy has 31 books in her library. She bought several books at a yard sale over the weekend. She now has 59 books in her library. How many books did she buy at the yard sale

Answers

28 books. 59(current books) - 31(past books) equals the amount of books Sandy bought, which is 28 books. Hope it helped
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