How do you know if 3 lengths will make a triangle?

Answers

Answer 1

If three lengths can make a triangle by using the Triangle Inequality Theorem which states . that any two triangle sides added together must exceed the third side If the sum of any two sides is equal to or less than the third side, then the lengths cannot make a triangle.

The Triangle Inequality Theorem can be used to determine if a triangle can be formed from three lengths. According to this theorem, any two triangle sides must add up to more than the third side. To put it to use, add up the lengths of the first two sides and compare them to the third side's length. The lengths cannot form a triangle if the total of the first two sides is more than or equal to the third side. The lengths can form a triangle if the product of the first two sides is bigger than the product of the third side.

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Related Questions

Composite Figures Question 4.
A. 42 cm
B. 35 cm
C. 26 cm
D. 14 cm

Answers

Answer:

42 cm A

Step-by-step explanation:

Can anybody help me please?

Answers

Answer:

a or 116

Step-by-step explanation:

First you solve the blue part which is 14*14=196. Then solve the green part 10*8=80. Subtract blue minus green. Which gives you 116.

I need help finding the answer X=6y+24
2x+3y=3

Answers

X=6
Y=-3
Step: Solve
x
=
6
y
+
24
for x:
x
=
6
y
+
24

Step: Substitute
6
y
+
24
for
x
in
2
x
+
3
y
=
3
:
2
x
+
3
y
=
3
2
(
6
y
+
24
)
+
3
y
=
3
15
y
+
48
=
3
(Simplify both sides of the equation)
15
y
+
48
+

48
=
3
+

48
(Add -48 to both sides)
15
y
=

45
15
y
15
=

45
15
(Divide both sides by 15)
y
=

3

Step: Substitute

3
for
y
in
x
=
6
y
+
24
:
x
=
6
y
+
24
x
=
(
6
)
(

3
)
+
24
x
=
6
(Simplify both sides of the equation)

Answer:
x
=
6
and
y
=

3

Anna's hair has grown
2
3
of an inch in the 6 weeks since her last haircut. How fast does her hair grow?

Answers

1/2 inch
Explanation
I had this question on my homework and got it right. Hope this helps!

J31) what are the undefined values for sinx cosx / 1 - sin²x , where 0 ≤ x < 2pi ?

how?

Answers

Answer:Mathematics2 minutes ago

+5 pts

J31) what are the undefined values for sinx cosx / 1 - sin²x , where 0 ≤ x < 2pi ? how?

Step-by-step explanation:

PLEASE HELP ME WITH THIS QUESTION AND ILL BRAINLIEST YOU

Answers

Answer:

c

Step-by-step explanation:

Two sum of any two side lengths of a triangle will always be greater than the length of the remaining side

a doesn't work because 8+12=20 and 20 is not greater than 20

b doesn't work because 4+5=9 and 9<10

d doesn't work because 6+6=12 and 12 is not greater than 12

c is the only option where you can take any two sides, add them, and the sum will be greater than the remaining side.

For example, for c,

6+8=14, and 14>10

8+10=18, and 18>6

10+6=16, and 16>8

Answer:

b

Step-by-step explanation:

The answer is B because you can automatically mark out C and D because the first two dimensions can't equal to the last one and A is out because 6 and 8 is greater than 10 so that answer wouldn't be correct either.

Barrett earns $15 per hour cutting grass and $10 per hour tutoring reading. In one month, Barrett
needs to save at least $400 for a new lawnmower but does not want to work more than 35 hours.
Part A: Let x represent the hours cutting grass and y represent the hours tutoring. Given x ≥ 0 and
y ≥ 0, select all the inequalities that represent the situation.
A. x + y ≥ 35
B. 15x + 10y ≤ 400
C. x + y ≤ 35
D. 15x + 10y ≥ 400
E. 25x + 25y ≤ 400
F. 15x + 10y ≤ 35

Part B: Determine whether each point is a viable or nonviable solution according to the above scenario.

Viable Nonviable

(10, 25)

(10, 20)
(20, 12)
(35, 0)
(20, 20)

Answers

The inequalities that represent the situation are 15x + 10y ≥ 400 and x + y ≤ 35 and the viable solutions are (10, 25), (20, 12), (35, 0) and (20, 20)

The inequalities that represent the situation.

From the question, we have the following parameters that can be used in our computation:

Earnings from cutting = $15Earning from tutoring = $10Number of hours = not more than 35Total earnings = At least $400

These parameters above mean that

15x + 10y = Total earnings

x + y = Number of hours

So, we have

15x + 10y ≥ 400

x + y ≤ 35

The above represent the inequalities of the situation

The viable solutions

In (a), we have

15x + 10y ≥ 400

x + y ≤ 35

Next, we test the options

(10, 25)

15 * 10 + 10 * 25 ≥ 400 ⇒ 400 ≥ 400

10 + 25 ≤ 35 ⇒ 35 ≤ 35

True

(10, 20)

15 * 10 + 10 * 20 ≥ 400 ⇒ 350 ≥ 400

10 + 20 ≤ 35 ⇒ 30 ≤ 35

False

(20, 12)

15 * 20 + 10 * 12 ≥ 400 ⇒ 420 ≥ 400

20 + 12 ≤ 35 ⇒ 32 ≤ 35

True

(35, 0)

15 * 35 + 10 * 0 ≥ 400 ⇒ 525 ≥ 400

35 + 0 ≤ 35 ⇒ 35 ≤ 35

True

(20, 20)

15 * 20 + 10 * 20 ≥ 400 ⇒ 500 ≥ 400

20 + 20 ≤ 35 ⇒ 40 ≤ 35

False

Hence, the viable solutions are (10, 25), (20, 12), (35, 0) and (20, 20)

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you have a bag of 850 pieces of candy and you eat half of the piece a day

a. create a table showing the candy remaining for days 0 - 8
b. what is the y-intercept
c. what is the decay factor
d. what equation matches the situation

Answers

HI, the answer is a, Ive took this before!
Have a nice dayyyy

1/2 X (6 X 4)divided by + 3 + 2

Answers

Answer:

1/108

Step-by-step explanation:

please help quick. In triangle ABC,

Answers

Answer:

What is triangle ABC and what are the measures and what are the angles. Please provide enough information

Step-by-step explanation:

WHAT IS THE VOLUME OF THIS CONTAINER 2FT 1FT 1 FT

Answers

Answer:

What container is it. Is it cilyndrical or a prism ?

Step-by-step explanation:

What is the maximum number of students among whom 135 pens, 180 pencils and 300 books can be equally divided.

Answers

Answer:

Step-by-step explanation: You can add all of these numbers with a calculator. but be sure what are the numbers telling you what to do. So always focus on the words that are going to mention about the numbers.

Help me please (no links plz)

Answers

9514 1404 393

Answer:

vertex: Ssides: ST and SR

Step-by-step explanation:

The vertex is the point the rays have in common. The side rays are named by naming the vertex first, then a point on the ray.

The rays come together at point S. The name of the vertex point is S.

The sides of the angle are rays ST and SR.

Write a real-world application problem such that the equation to be formed to solve the problem is
7x – 5(x + 8) = 10.

Answers

Answer:

X=25

Step-by-step explanation:

Remove parentheses

7x - 5x - 40= 10

Merge the similar terms

2x - 40= 10

Constantly move to the right side and change characters

2x = 10 + 40

Addition

2x = 50

Divide both sides of the equation by 2

x = 25

Find the value of x.

Answers

Answer:

x = 68 degrees

Step-by-step explanation:

The right angle symbol tells us its 90 degrees.

90 degrees - 22 degrees = 68 degres

Answer:

x = 68 degrees

Step-by-step explanation:

It is given that this angle is a right angle. A right angle means that it is 90 degrees.

One part of the angle is 22 degrees so the other is labled x.

90 - 22 = 68 degrees

Therefore, x=68 degrees

What should be taken away from 3x² 4y² 5xy 20 obtain X² y²+ 6xy 20?

Answers

4x2 - 3y2 - xy should be taken away from 3x² 4y² 5xy 20 obtain X² y²+ 6xy 20

A fraction is a percentage of a whole. This entire sentence could be referring to a single location or a collection of locations. The English word "fraction" originates from the Latin word "fraction," which means "to break." As the first society to comprehend fractions, the Egyptians used fractions to solve a number of mathematical problems, including the distribution of food and resources and the absence of a metal currency.

Assume X is the component that is absent.

As a result, the answer to the question is

(3x2 - 4y2 + 5xy + 20) - (X) = - x2 - y2 + 6xy + 20

To determine the value of X, let's change the words.

X is equal to (-x2 - y2 + 6xy + 20) = 3x2 - 4y2 + 5xy + 20.

X = 4x2 - 3y2 - xy X = 3x2 - 4y2 + 5xy + 20 + x2 + y2 - 6xy - 20

Thus, the expression that should be subtracted is 4x2 - 3y2 - xy.

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Find the measurements of the exterior angles of the polygon

Explain (not optional)

Answers

On solving the question, sum of exterior angle is 360 degree. Hence, the value of x is 120°.

How do you calculate a triangle's total exterior angles?

The exterior angle of a triangle is equal to the sum of its two opposite interior angles, according to the external angle theorem. Remember that the total external angle, measured from each vertex, is always 360°. Alternatively stated, d + e + f = 360°.The angle that is created between a triangle's extended side and one of its sides is known as the external angle. A triangle has a total of 360 degrees in its outside angles.

x + ( x+6) +114 = 360

2x = 240

x = 120

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Determine the domain of the following graph

Answers

Answer:

-5<=x<=5 or in other terms {-5, 5}

Answer:

-5 ≤ x ≤ 5 Step-by-step explanation: That's the answer the dot starts at the x value of -5 and continues to +5. THe x is in the middle because this is domain.

Which of the following are possible solutions for this inequality?



Answers

The correct answer choice is C

Geometry

If BE = 2x + 2, BD = 5x - 3, and

AE = 4x - 6, what are the values

of x and AC?

Answers

In parallelogram, x=7 and AC = 44 units are the values of x and AC .

What do math parallelograms mean?

A unique kind of quadrilateral known as a parallelogram is defined by having both pairs of its opposite sides parallel and equal.

                       A parallelogram ABCD with the coordinates AB II CD and AD II BC can be seen in the provided illustration. Moreover, AB = CD and AD = BC. Non-Example: A parallelogram is not represented by a trapezium.

Here in parallelogram ABCD , AC and Bd are diagonals intersecting at E.

BE = 2x + 2, BD = 5x – 3, and AE = 4x – 6

Using (i)

   BE  = BD/2

 2x + 2 = (5x- 3)/2

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

  4x + 4 = 5x - 3

   x = 7

Now , AE = 4(7)-6 = 28-6 = 22

AC =2 AE = 2 (22) =44 units.

Hence, x=7 and AC = 44 units.

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If a is 200% of b, what percent of 5a is 4b?

Answers

250% (percent) of 5a is 4b.

What is percentage?

A percentage is a number or ratio that can be expressed as a fraction of 100.

here, given that,

a is 200% of b

i.e. a=2b

Now, 5a=10b

So, we have,

5a/4b

=10b/4b

=5/2

=250%

Hence, 250% (percent) of 5a is 4b.

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(Pls help!!) Find the volume of each cylinder in terms of π. Which cylinder has the greatest​ volume? Cylinder​ A: diameter7 ​in., height12 in. Cylinder​ B: diameter12 ​in., height7 in.

Answers

Answer: Cylinder B has the greater volume

Step-by-step explanation:

Cylinder A= 147πinch cubed

Cylinder B=252π inch cubed

(if youre using savvas or something like that, use the pie symbol and it might work if youre having difficulties.)

help me asap ..

- i will give BRAINLIEST.

Answers

Answer:

B, C, D, and F are all possible.

Answer:

B, C, D

Step-by-step explanation:

1. A is not possible because right and obtuse both define triangle angles. An angle cannot be obtuse and right at the same time.

2. B is possible because a right triangle can have all sides of different length.

3. C is possible because a scalene triangle can have an obtuse angle.

4. D is possible because an isosceles triangle can have all acute angles.

5. E is not possible because of how equilateral triangles work. When a triangle is equilateral, it is also equiangular, meaning all of its angles are the same. The angles on every type of triangle always add up to 180 degrees. If a triangle is equiangular, the 180 degrees are divided evenly, with every angle being 60 degrees, which is acute. Therefore, an equilateral triangle cannot have a right angle.

6. F is not possible because isosceles and scalene both refer to the side lengths of triangles. A triangle cannot be isosceles and scalene at the same time.

7. G is not possible because equilateral triangles cannot have angles other than 60 degrees and therefore cannot be obtuse.

For a project in her Geometry class, Violet uses a mirror on the ground to measure the height of her school’s football goalpost. She walks a distance of 6.65 meters from the goalpost, then places a mirror flat on the ground, marked with an X at the center. She then walks 4.25 more meters past the mirror, so that when she turns around and looks down at the mirror, she can see the top of the goalpost clearly marked in the X. Her partner measures the distance from her eyes to the ground to be 1.75 meters. How tall is the goalpost? Round your answer to the nearest hundredth of a meter.

Answers

Answer: To find the height of the goalpost, we can use the information provided in the problem and the concept of similar triangles. Since Violet is looking down at the mirror, the line of sight from her eyes to the top of the goalpost forms a right angle with the ground. This right angle creates two similar triangles, one between her eyes, the ground, and the top of the goalpost, and the other one between the mirror on the ground, the goalpost, and a point on the ground that is the same distance from the mirror as the top of the goalpost is from Violet's eyes.

Since similar triangles have the same angle measures, we can set up the following proportion:

(distance from mirror to point on the ground) / (distance from mirror to top of goalpost) = (distance from Violet's eyes to ground) / (height of goalpost)

We can now use the information provided in the problem to solve for the height of the goalpost.

(6.65+4.25)/x = 1.75 / H

x = (6.65+4.25) * (1.75/H)

Where x is the distance from mirror to top of the goalpost.

Substitute the known values and solve for H

H = 1.75*(6.65+4.25) / x = 1.75*10.9 / x

We know that x = 4.25, so

H = 1.75*10.9 / 4.25 = 4.093 m

The height of the football goalp

Step-by-step explanation:

A construction worker is tasked with tiling two square rooms, room A and room B. Room B has side lengths that are double the side lengths of room A. The construction worker uses one box of tiles to complete the flooring of room A.
How many boxes of tiles will they need to complete the flooring of room B? Assume the boxes of tiles are identical.

Answers

Therefore, since the area of room B is four times the area of room A, four boxes of tiles will be needed to complete the flooring of room B.

Define Volume and Area.

The area is the volume a flat, two-dimensional item occupies in a plane. The space occupied by a three-dimensional object is referred to as its volume. Area is measured in square units. Volume is measured in cubic units.

What is Surface Area?

The area is the area occupied by a two-dimensional flat surface. It has a square unit of measurement. The surface area of a three-dimensional object is the space taken up by its outer surface.

Since the side lengths of room B are double the side lengths of room A, the area of room B is four times the area of room A.

The number of tiles needed to cover a floor is equal to the area of the floor divided by the area of each tile.

Since the boxes of tiles are identical, the number of tiles in each box must also be identical.

Therefore, since the area of room B is four times the area of room A, four boxes of tiles will be needed to complete the flooring of room B.

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Find the distance between point k and point L

Answers

The distance between two points in a plane is the length of the line segment connecting them. The formula d=((x2 - x1)2 + (y2 - y1)2) is frequently used to determine the separation between two points.

What do you call the distance between points?

The length of the line segment bridging two locations in a plane is known as the distance between them. d=((x2 - x1)2 + (y2 - y1)2) is a common formula to calculate the distance between two points. This equation can be used to determine the separation between any two locations on an x-y plane or coordinate plane.

The length of the line segment is the distance between two points. Congruent segments are those that share the same length. By using a ruler to draw a line, we may determine how far apart two points are.

x,y = (-8,0) (-8,0)

or

x/y = -8/0

If there was an association between L and K, we would use x,y = 8,0.

Since the query reads "between point K and point L," the x,y relationship becomes "-8,0."

Therefore, the answer is -8,0.

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−16−8≥0
How is it solved?

Answers

Answer:Subtract

8

from

16

.

24

0

Step-by-step explanation:

Mai is making personal pizzas. For 4 pizzas, she uses 10 ounces of cheese. how much cheese does mai use per pizza? At this rate, how much cheese will she need to make 15 pizzas? Please help its due tomorrow

Answers

Mai uses 10 ounces of cheese to make 4 pizzas, so she uses 10/4 = <<10/4=2.5>>2.5 ounces of cheese per pizza.

To make 15 pizzas, she will need 152.5 = <<152.5=37.5>>37.5 ounces of cheese.

5. It takes a truck 4 hours to drive 240 miles. What was the truck's miles per hour? How far would the truck go in 1 days (think carefully)?​

Answers

Answer:

Step-by-step explanation:

a.4 hours drive 240 miles, so the speed is 240÷4=60 miles per hour

b.1 days have 24 hours, then, it will go 60 ×24 = 1440 miles in 1 days

Answer:

1440

Step-by-step explanation:

240+4= 60

distance = rt

r= rate

t = time

IN ONE DAY

60 times 24= 1440

(24 for 24 hours)

NEED HELP ASAP
NO LINKS AND NO JUST SAYING HI, PLEASE ANSWER LEGITIMATELY! THANK YOU!!!! <3

Answers

Answer:

74

Step-by-step explanation:

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