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


Rewriting expressions. Image attached

Answers

9514 1404 393

Answer:

  5z^(-5/3)

Step-by-step explanation:

The rules of exponents being used here are ...

  [tex]\sqrt[n]{a}=a^{1/n}\\\\\dfrac{a^b}{a^c}=a^{b-c}[/tex]

Using these rules on the given expression, we find ...

  [tex]\dfrac{10\sqrt[3]{z}}{2z^2}=\dfrac{10}{2}z^{1/3-2}=\boxed{5z^{-5/3}}[/tex]

Help me please I need to get this done today

Answers

Answer:

1/3(x) + 2/4

Step-by-step explanation:

if you want the simplified version then it's 1/3(x) + 1/2

What will happen to the graph of the line y = -5/4x + 3 if you change -5/4 to 5/4?
I will give u a brainlist

Answers

Answer:

The slope of the line will change from negative to positive

Step-by-step explanation:

The equation of the line, y = -⁵/4 x + 3, is written in the slope-intercept form, which is y = mx + b. Where,

Slope = m, which means the slope of the line is -⁵/4,

y-intercept = b, which means the y-intercept of the line is 3.

Therefore, if -⁵/4 is changed to ⁵/4, the slope has been changed from negative to positive. Therefore, the graph of the slope of the line will change from negative to positive.

If ab +5a+ 3b+ 15=24 and a+3=6then b+5=

Answers

Answer:

B+5 =???

Step-by-step explanation:

write a Question clearly

Answer:

b+5= -1+5 = 4

Step-by-step explanation:

ab+5a+3b+15=24

a+3=6

a= 6-3 =3

3b+5x3+3b+15=24

3b+15+3b+15=24

6b+30=24

6b=24-30

6b= -6

b= -6/6= -1

b+5= -1+5 = 4

Hope this helped!!

PLEASE HELP AND SHOW WORK ​

Answers

Answer:

13. It is a paralellogram, because its opposite sides are equal & parallel

14. It is a paralellogram , because it's two diagonals bisect each other .

15. Is a paralellogram, cause its opposite angles are equal

Step-by-step explanation:

please put a correct answer and ill give you brainliest and put a wrong answer im reporting and giving 1 star! thanks

Answers

Answer:

2^9 as 8+1=9------------------> in number multiplication you add the indices

-4(x + 2) + x = 3x8 5x

Answers

Answer:

x= -4/129

negative four over one hundred twenty one

What is the constant of proportionality in the equation y=2.50?
constant of proportionality

Answers

Answer:

Step-by-step explanation:

Did you mean y = 2.50x?  If so, the constant of proportionality is 2.50.

If you really meant y = 2.50, then this is not a proportional relationship and there is NO constant of proportionality.

Answer:

There is no constant of proportionality

Step-by-step explanation:

what is 1 and 1/6 - 3/4 PLEASE ANSWER

Answers

Answer: 1 3/6

Step-by-step explanation:

Which of the following expressions is
equivalent to (y + 3) - (-3y - 5)?
F 4y + 8
H-2y - 2
G 2y + 8
J 4y - 2

Answers

Answer:

Option F

Step-by-step explanation:

(y+3)-(-3y-5)

y+3+3y+5

4y+8

What is the Y-INTERCEPT of the equation y = x+15

Answers

Answer:

15

Step-by-step explanation:

y=mx+b

b is the intercept

in this equation "m", the slope, would be one. the y-intercept, or "b" would be 15

Jessica plans to plant a garden 55 feet away from her house. On a map of her backyard, she drew the garden 22 inches away from the house. Complete the scale: 1 in. = ?.

Answers

Answer:

1 inch = 2.5 feet

Step-by-step explanation:

Jessica plans to plant a garden 55 feet away from her house.

On a map of her backyard, she drew the garden 22 inches away from the house.

From the above question, we know that:

22 inches = 55 feet

1 inch = x

Cross Multiply

22 inches × x = 1 inches × 55 feet

x = 1 inches × 55 feet/22 inches

x = 2.5feet.

Therefore, the scale is given as: 1 inch = 2.5 feet

Diego is trying to follow a recipe, but he cannot find any measuring cups! He only has a tablespoon. In the cookbook, it says that 1 cup equals 16 tablespoons.

1. How could Diego use the tablespoon to measure out these ingredients?

a. 1/2 cup almonds
cup almonds




b. 1¼ cup of oatmeal





c. 2 ¾ cup of flour




2. Diego also adds the following ingredients. How many cups of each did he use?

a. 28 tablespoons of sugar



b. 6 tablespoons of cocoa powder

Answers

Answer:

1a. 8 tablespoons

1b. 20 tablespoons

1c. 44 tablespoons

2a. 1 3/4 cups

2b. 3/8 cups

Step-by-step explanation:

1 cup= 16 tablespoons      1/2 cup= 8 tablespoons     1/4 cup= 4 tablespoons

1a. 1/2 cup= 8 tablespoons

1b. 1 cup= 16 tablespoons 1/4 cup= 4 tablespoons

16+4=20

1c. 1 cup= 16 tablespoons 1 cup= 16 tablespoons 1/2 cup= 8 tablespoons 1/4 cup= 4 tablespoons

16+16+8+4=44

2a. 28 tablespoons/ 16 tablespoons= 1.75 cups or 1 3/4 cups

2b. 6 tablespoons/ 16 tablespoons= .375 cups or 3/8 cups

the original price of a sweater is $36 the sale price is 25% of the original price what is the sale price

Answers

Answer: 9 dollars

Step-by-step explanation: 36-25%=9

Answer:

$5.40 is your answer

Question 3 of 20
From the attachment, how would you dassify angles 1 and 2?
(1 point)
1
2.
Click to Download Attached File
A. Adjacent
B. Linear pair
C. Vertical
D. Complementary
No

Answers

i think it’s C but it could be D.. i would go with C tho

Sb plz help not much a lot of points!!!!! Plz help

Answers

Answer:

10 months

Step-by-step explanation:

22x+80=30x

subtract both sides by 30x

-8x+80=0

then subtract 80 from both sides

−8x=−80

divide both sides by -8

x=10

9761 is correct it is

Which circle graph shows the information in the chart correctly?

Answers

The middle graph, because the size of the portion of the circle for each category is closest to the actual numbers.

Answer:

The 2nd (middle one) circle graph shows the information in the chart correctly; because the proportion of the division in the second circle graph is closest to the information given in the chart.

POSSIBLE
Find the Volume and Surface Area of the figure below:

Answers

Answer:

Volume = 216

Surface Area = about 250.74

Step-by-step explanation:

Formulas

Volume = lwh/3

Surface area formula below v

A PE teacher divides the class evenly for
game of kickball. If the likelihood of being on
Team Eagles and Team Jaguars is the same,
then describe a simulation that could represent
the team assignment for next 10 students in PE
class.



PLEASE HELP QUICKLY

Answers

Answer:

it would be 5

Step-by-step explanation:

who ever gets it right first and first one to comment will get brainiest ​

Answers

Answer:

the slope is 3/2 or 1.5 they are the same

Step-by-step explanation:

x^3 + 2x^2 – 24x

^
write the polynomial in factored form

Answers

Answer:

x(x+6)(x-4)

Step-by-step explanation:

They all have x in it, which means we can factor out x first.

x(x^2 + 2x -24)

Now we can factor out the inside doing algebra.

Since 6 multiplied by -4 gives us -24 and adding them gives us 2, 6 and -4 works. This means that we can factor out (x+6) and (x-4).

We still have to multiply the x from the beginning, giving us a final equation of

x(x+6)(x-4).

[(M^2N^2-MN)(M^2N^2+MN)]/MN

Answers

Answer:

Step-by-step explanation:

M²N² - MN = MN (MN - 1)

M²N² + MN = MN (MN + 1)

[tex]\frac{(M^{2}N^{2}-MN)(M^{2}N^{2}-MN)}{MN}= \frac{MN(MN-1) * MN(MN + 1)}{MN}\\[/tex]

                                     = (MN - 1) * MN * (MN + 1)

                                     = (MN - 1)(MN +1) MN             {(a+ b)(a - b) = a² - b² }

                                     = (M²N² - 1²) * MN

                                    = (M²N² - 1)MN

A farm worker makes $100 for 8 hours, What is his pay per hour?

Answers

Answer:

$12.50

Step-by-step explanation:

$100 divided by 8 hours = $12.50

8) The diagram shows a sector of the circle with radius 60 cm and the angle at the
centre is 240
60 cm
240
Calculate the length of the arc [use n = 3.14]

Answers

Answer:

251.3274cm

Step-by-step explanation:

L / 240 = C / 2π

(IXL Question) What is the slope?

Answers

Answer:

2/3

Step-by-step explanation:

Hmm I think it’s 2/3 or 3/2

What is x, the distance between points A and A'?

A.2.4 units

B.4.8 units

C.13.6 units

D.14.4 units

Answer= C


Answers

Answer:

2.24units

Step-by-step explanation:

Let the coordinate be A(3, -5) and A'(2, -3)

Using the formula for calculating the distance between two points

D = √(x2-x1)²+(y2-y1)²

AA' = √(2-3)²+(-3-(-5))²

AA' = √(-1)²+(-3+5))²

AA' = √1+2²

AA' =√5

AA' = 2.24 units

Note that the coordinate points are assumed

Answer:

It’s C

Step-by-step explanation:

Just did the quiz

please help me i will give brainliest

Answers

Answer:

i would help you bet i cant read that. Maybe put the paper in better lighting?

tell me your favorite flamingo vid so i can watch it

Answers

Answer:

if you are talking about the person...then it's This Rblx game ACTUALLY added Vc.. that's the only one i watched. so

if you are talking about the animal.. then it's

These Flamingos Have Sweet Dance Moves

I NEED HELPPPPPP PLEASEEE

Explain how to solve an equation of the form x^p/q = a for nonzero integers x, p, q, and a. What is x in terms of a, p, and q?​

Answers

Answer:

x = a^(q/p)

Step-by-step explanation:

See steps below, solving for x:

x^(p/q) = a  log x^(p/q) = log ap/q log x = log alog x = q/p log alog x = log a^(q/p)x = a^(q/p)

How many groups of 3/4 are in 6 and 1/2

Answers

There are 8 groups of 3/4
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