The segments shown below could form a triangle.

The Segments Shown Below Could Form A Triangle.

Answers

Answer 1

By the Triangle Inequality Theorem, the sum of two sides should be greater than the length of the third side, while the difference of these two sides should be less than the length of this third side. Normally you would take the absolute value of the difference of these two side as you wouldn't know which is greater than the other!

The simplest way to prove whether these line segments can form a triangle, is by going against this theory. Let us prove that the line segment don't form a triangle. As you can see, adding 7 and 1 is greater than 1, respectively 7 and 7 is greater than 1. Thus -

Solution = A. True


Related Questions

BRAINLIEST PLEASE HELP!!!!

Answers

Answer:

A. 2x + (-x + 2) = -1

Step-by-step explanation:

Well if we use x + y = 2 as the substitute we need to solve for y.

x + y = 2

-x to both sides

y = -x + 2

Substitute

2x + (-x + 2) = -1

Thus,

the answer is A. 2x + (-x + 2) = -1.

Hope this helps :)

What is the highest common factor (HCF) of 9 and 15?

Answers

Answer:

3

Step-by-step explanation:

9's factor is 1, 3, 9.

and 15's factor is 1, 3, 5, 15.

so, the answer is 3.

Linda throws a dart that hits the square shown below: What is the probability that the dart hits a point in the circle?
18%
21.5%
78.5%
81%

Answers

Answer:

78.5%

Step-by-step explanation:

Hope this helps ;) ❤❤❤

The sides of an equilateral triangle measure 16 inches. The midpoints of the sides of the triangle are joined to form another equilateral triangle with sides that are half the length of the outer triangle. This process is continued until three triangles are inscribed in the first triangle. The sum of the perimeters of all four triangles is

Answers

Answer:

  90 inches

Step-by-step explanation:

The perimeter of the inscribed triangle is 1/2 that of the enclosing triangle. So, the total of perimeters is ...

  (3·16 in)(1 +1/2 +1/4 +1/8) = (48 in)(15/8) = 90 inches

Find the amount of each payment to be made into a sinking fund which earns 5% compounded quarterly and produces S47,000 at the end of 35 years Payments are made at the end of each period The paym ent size is $ (Round to the nearest cent.)

Answers

Answer:

$8,355.555

Step-by-step explanation:

Hello,

This question relates to compound interest and to solve it, we'll need to use the right formula.

C.P = P(1 + r/n)^nt

C.P = compound interest

P = principal

R = rate

N = number of times compounded

T = time

C.P = $47,000

P = ?

R = 5% = 0.05

N = 4

T = 35 years

Substituting the variables into the equation,

47,000 = P (1 + 0.05 / 4) ^ (4 × 35)

47,000 = P (1.0125) ^ 140

47,000 = P × 5.625

Divide both sides by 5.625 and solve for P

P = 47,000 / 5.625

P = $8,355.555

The initial investment was $8,355.555

⚠️For ALL of y’all who said the answer was letter D, was INCORRECT!!

‼️Someone tell me what the right answer is

❤️Thanks in advance

Answers

Answer: B) 76.86

Step-by-step explanation:

Follow the steps others took to get D, then divide by 12 to get 76.86

Hope it helps <3

The two lines graphed below are not parallel.How many solutions are there to system of equations

Answers

we need the graph/ lines,

but just remember

wherever 2 lines intersect, that is a solution

if they are paralell, no solutions

if they cross, 1 solution

if they are the same line/ the lines are on top of each other exactly, infinite solutions

Together, Dante and Mia have a total of 350 pennies in their piggy banks. After Dante lost ½ of his pennies and Mia lost ⅓ of her pennies, they both had an equal number of pennies. Altogether, how many pennies did they lose?

Answers

Answer:

Altogether they lost 150 pennies.

Step-by-step explanation:

X = Dante's pennies

Y = Mia's pennies

X + Y = 350                                       1/2 X = 2/3 Y

                                                                X = 4/3 Y

4/3 Y + Y = 350

7/3 Y = 350

Y = 350 * 3/7

Y = 50 * 3

Y = 150

X + 150 = 350

X = 200

                                                     1/2 * 200 = 2/3 * 150

                                                       100 .      =   100

1/2 * 200 = 100 -> Dante lost 100 pennies

1/3 * 150 = 50 -> Mia lost 50 pennies

Altogether they lost 150 pennies.

What is the probability of choosing a card that does not have a digit 1 on it? Give the answer as a fraction numbers: 1,2,3,4,5,6,7,8,9,10

Answers

Answer:

8/10

Step-by-step explanation:

There's ten numbers altogether and there are two numbers with the digit one, 1 and 10. 10-2=8

8/10

After driving half the way from the city to the Zoo, I passed a tour bus traveling at an average speed of 78 km/h in the opposite direction from the Zoo to the city. When I reached the Zoo 20 minutes after passing the bus, the bus was still 14 km from the city. How far was the Zoo from the city? Can someone please solve this for me?

Answers

Answer:

The distance from the Zoo to the city is 80 km

Step-by-step explanation:

The given information are;

The speed of the tour bus = 78 km/h

The point of passing the tour bus = Half way between the city and the Zoo

The time taken after passing the tour bus when it was still  14 km from the city = 20 minutes = 20/60 hour = 1/3 hour

Therefore, we have that the distance covered by the tour bus in 1/3 hour  = Time ×Speed = 1/3×78 = 26 km

The distance remaining for the tour bus to reach the city = 14 km

The total distance from the time of observation of the tour bus = Half the distance from the city to the Zoo

Also, the total distance from the time of observation of the tour bus = 26 km + 14 km = 40 km

∴ 40 km = Half the distance from the city to the Zoo

Which gives;

The distance from the Zoo to the city = 2 × 40 km = 80 km.

Find the area of the shape shown below.

Answers

Answer:

26.75 units ^2

Step-by-step explanation:

Since the shape is complex, divide it into 3 right angled triangles and one square. Find the area of these individual shapes first, then fin the sum of these area to calculate the ultimate area of e complex shape:

Triangle 1 = 1/2 x 2 x 5 = 5 units ^2

Triangle 2 = 1/2 x 2 x 2 = 2 units ^2

Triangle 3 = 1/2 x 3.5 x 9 = 15.75 units ^2

Square = 2 x 2 = 4 units squared.

Now add all these up 15.75 + 2 + 5 + 4 = 26.75 units squared.

Hope this helps

Help me please thanks must be accurate

Answers

Answer:

Answer B (The cost of fabric compared to its length)

Step-by-step explanation:

The cost of fabric is directly proportional to the length of fabric one is buying. That constant of proportionality is telling you that there is a constant rate of change in units of cost per length.

The other options are much more randomly varying.

The area of a rectangle is 42 square millimeters. The length is 7 millimeters. What is the perimeter of the rectangle?

Answers

Answer:

P=26

Step-by-step explanation:

Answer:

Step-by-step explanation:

Begin with the fact that the area of a rectangle is A = L * W.  We know that the area is 42 and the length is 7, therefore, we can sub those values into the area formula to solve for the width.

42 = 7 * W so

w = 6 mm.

The perimeter formula is P = 2L + 2W, and now we know L and W. So

P = 2(7) + 2(6)

P = 14 + 12

P = 26

If my score goes up 20,000 a day how long will it take me to reach 2,000,000

Answers

Answer:

It would take 100 days

Step-by-step explanation:

2,000,000 divided by 20,000 equals 100

So it would take 100 days

Resuelve la siguiente ecuación: 15x = 27 + 6x (escribe el valor de x nada mas) ayudaaaaaaaaa porfavor se los pidooooo!!

Answers

Answer:

x=3

Step-by-step explanation:

15x=27+6x

subtract 6x

9x=27

divide 9

x=3

X=3

Step-by-step explanation:

15x = 27 + 6x

15x - 6x =27

9x =27

X= 27/9

X= 3

[tex]hope \: this \: helps[/tex]

An angle whose measure is _302° is in standard position. In which quadrant does the terminal side of the angle fall?
O Quadrant 1
O Quadrant 11
O Quadrant III
O Quadrant IV

Answers

Answer:

Quadrant IV

Step-by-step explanation:

An angle whose measure is _302° is in standard position the terminal side of the angle fall in Quadrant IV

Quadrant 4 because Q4 is 270 degrees - 360 degrees, which 302 degrees falls between.

Two consecutive odd whole numbers are selected. The difference between the reciprocals of the two numbers is 2/143. Determine the two numbers.

Answers

Answer:

The numbers are 11 and 13

Step-by-step explanation:

Let

the first odd whole number=x

Reciprocal=1/x

Second odd whole number=x+2

Reciprocal=1/x+2

The difference

(1/x) - 1/(x+2)=2/143

(x+2)-x / (x)(x+2)=2/143

x+2-x/x(x+2)=2/143

2/x(x+2)=2/143

2(143)=2(x^2+2x)

286=2x^2+4x

2x^2+4x-286=0

x^2+2x-143=0

Solve the quadratic Equation

x=-b +or- √b^2-4ac/2a

a=1

b=2

c=-143

x= -b +or- √b^2-4ac/2a

=-2 +or- √(2)^2-(4)(1)(-143) / 2(1)

= -2 +or- √4-(-572) / 2

= -2 +or- √4+572/2

= -2 +or- √576/2

= -2 +or- 24/2

x= -2+24/2

= 22/2

=11

Or

x= -2-24/2

= -26/2

= -13

Taking the positive value

x=11

The second odd whole number=x+2

=11+2

=13

PLEASE HELP ME LAST QUESTION!!!!!!

Answers

Answer:

Angle 5

Step-by-step explanation:

Answer:

Angle 5

Step-by-step explanation:

Angle 8 is across from angle 5 meaning they have the same degrees.

How do you work out 1/5 divided by 4?

Answers

Answer:

1/20.

Step-by-step explanation:

Dividing by 4 is the same as multiplying by 1/4 so

1/5 / 4

= 1/5 * 1/4

= 1 /(5*4)

= 1/20.

Answer:

[tex] \frac{1}{20} [/tex]

Step-by-step explanation:

[tex] \frac{1}{5} \div 4[/tex]

Flip the second fraction and multiply

Dividing fraction is exactly same as multiplying the reciprocal

[tex] \frac{1}{5} \times \frac{1}{4} [/tex]

Multiply the fractions

[tex] \frac{1 \times 1}{5 \times 4} [/tex]

Calculate

[tex] \frac{1}{20} [/tex]

Hope this helps...

Good luck on your assignment...

Find the product of 2x and 3.

Answers

Answer:

6x

Step-by-step explanation:

Product is multiplication.

2x × 3

Multiply.

2 × x × 3

= 6x

Need help please, thanks if you do :)

Answers

Answer:

Step-by-step explanation:

Orchestra Seats: Balcony seats + 7Orchestra Seats: 600Balcony Seats: 120Total Amount of Sales: 13,560

A.) 600 x 20 = 12,000

    120 x 27 = 3,240

     12,000 + 3,240 = 15,240

B.) 600 x 13 = 7,800

     120 x 20 = 2,400

     7,800 + 2,400 = 10,200

C.) 600 x 18 = 10,800

    120 x 25 = 3,000

    10,800 + 3,000 = 13,800

D.) 600 x 11 = 6,600

     120 x 18 = 2,160

     6,600 + 2,160 = 8,760

Can someone please help me!!!

Answers

Answer: The next step will be 2x - 1 = 9

Step-by-step explanation:

4x -1 = 2x + 9

-2x       -2x  

2x -1 = 9

    +1  +1

2x= 10

x= 5

Answer:

2x-1=9

Step-by-step explanation:

2x-1=9

4x-2x-1=2x-1

2x-2x+9=9

2x-1=9

Instructions: Find the missing length indicated.

Answers

Answer:

X = 25

Step-by-step explanation:

Set up as a ratio:

Simplify ratio, multiply by 5, divide by 12

[tex]\frac{60}{144} = \frac{x}{60} \\\frac{5}{12}=\frac{x}{60} \\ 300 = 12x\\12x=300\\x=25[/tex]

A ball, thrown vertically upwards, from the ground, has its height h (in meters) expressed as a function of time t (in seconds), elapsed after the launch, by the law h(t) = 20t - 5t2. According to this information, determine the height at which the ball is 3 seconds after the throw and the maximum height reached by the ball.

Answers

Height at 3 sec: 15 meters

Max height: 20 meters

What are the solutions to the equation x minus StartFraction 7 Over x EndFraction = 6

Answers

The solutions to the equation x minus StartFraction 7 Over x EndFraction is equal to 6 is -1 and 7

What is a quadratic equation ?

Any equation of the form [tex]\rm ax^2+bx+c=0[/tex] Where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

We have equation:

[tex]\rm x-\dfrac{7}{x}=6[/tex]

After simplifying:

[tex]\rm x^2 -7 = 6x\\\\x^2-6x-7=0[/tex]

[tex]\rm x^2 +x-7x-7=0[/tex]

(x + 1)(x - 7) = 0

x = -1 or x = 7

Thus, the solutions to the equation x minus StartFraction 7 Over x EndFraction is equal to 6 is -1 and 7

Learn more about quadratic equations here:

brainly.com/question/2263981

#SPJ2

Answer:

C) x= -1 and x=7

Step-by-step explanation:

Select three side lengths, in centimeters (cm), that can form a right triangle. Use the Pythagorean Theorem.

A. 5cm
B. 6cm
C. 8cm
D. 10cm
E. 11cm
F.12cm

Answers

The side lengths 8 cm, 6 cm, and 10 cm that can form a right triangle option (B), (C), and (D) are correct.

What is a right-angle triangle?

It is defined as a triangle in which one angle is 90 degrees and the other two angles are acute angles. In a right-angled triangle, the name of the sides are hypotenuse, perpendicular, and base.

We know that Pythagoras theorem:

[tex]\rm Hypotenuse^2 = Perpendicular^2 + Base^2[/tex]

10² = 8² + 6² = 64+36 = 100

Thus, the side lengths 8 cm, 6 cm, and 10 cm that can form a right triangle option (B), (C), and (D) are correct.

Learn more about the right angle triangle here:

brainly.com/question/3770177

#SPJ2

What is the volume of the prism below? 8 7 5

Answers

Answer:

V=280

Step-by-step explanation:

V=whl

V=(8)(7)(5)

V=280

Answer:

140 units ^3

Step-by-step explanation:

a p e x

98-x2=0 solve this with the quadratic formula

Answers

Answer:

             x∈{-7√2, 7√2}

Step-by-step explanation:

[tex]98-x^2=0\\\\-x^2+98=0\\\\a=-1\,,\ \ b=0\,,\ \ c=98\\\\x_1=\dfrac{-0-\sqrt{0^2-4\cdot(-1)\cdot98}}{2\cdot(-1)}=\dfrac{-\sqrt{4\cdot49\cdot2}}{-2}=\dfrac{-2\cdot7\sqrt{2}}{-2}=7\sqrt2\\\\x_2=\dfrac{-0+\sqrt{0^2-4\cdot(-1)\cdot98}}{2\cdot(-1)}=\dfrac{2\cdot7\sqrt{2}}{-2}=-7\sqrt2[/tex]

A coordinate plane. Which expression could help you find the distance between (10, 4) and (–6, 4)?

Answers

Answer:

d=16

Step-by-step explanation:

d: distance (10,4),(-6,4)

d=√(x2-x1)^2+(y2-y1)^2

d=√(-6-10)^2+(4-4)^2

d=√16^2

d=16

Answer:

go 4 to right or where is positive then thats it

Step-by-step explanation:

lololololololololololololol

Which of the following represents a function?

Answers

Answer:

Hey there!

Choice A represents a function, because a function only has one y value for every x value.

Hope this helps :)

Answer:

A

Step-by-step explanation:

In a function, the x value can only go to one y value

B has x=5 going to y = 13 and y = 17

C had x = -3 with y values of 1 and -1

D has x = -4 going to y = 52 and 16

A each input has only one output value

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