Does the triangle inequality theorem apply to all equilateral triangles?

Answer:

a(n) = 9.5 + 2(n - 1)

Step-by-step explanation:

Observe that each new term is obtained by adding 2 to the previous term.  Thus, the common difference is 2 and the first term is 9.5.

Then a(n) = 9.5 + 2(n - 1)

Answer:

quadrilateral has perpendicular diagonals

Answer:

Options B and E.

Step-by-step explanation:

We want to see for which systems the point (-3, 2) is a solution (a solution of a system means that both equations intersect in that point).

The point (-3, 2) is a solution of the system only if this point belongs to both linear equations in the system.

Then for each system, we need to replace x by -3 and y by 2 in both equations and see if the equality is true or not.

A)

6x - y = 15

-3x + 4y = -18

In the first equation we have:

6*(-3) - (2) = 15

-18 - 2 = 15

-20 = 15

This is false, so we can discard option A.

B)

2x + y = -4

3x + 2y = -5

In the first equation we have:

2*(-3) + 2 = -4

-6 + 2 = -4

-4 = - 4  

This is true, now let's look at the other equation.

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

-9 + 4 = -5

-5 = - 5

This is also true, then the point (-3, 2) is a solution for both equations, then the point (-3, 2) is a solution for the system.

C)

x + 8y = 19

4x - 5y = 2

In the first equation we have:

(-3) + 8*(2) = 19

-3 + 16 = 19

13 = 19

This is false, then we can discard option C.

D)

8x + y = 22

-2x - 5y=4

In the first option we have:

8*(-3) + 2 = 22

-24 + 2 = 22

-22 = 22

This is false, so we can discard option D.

E)

5x - y = -17

x + 4y = 5

In the first option we have:

5*(-3) - (2) = -17

-15 - 2 = -17

-17 = -17

This is true, now let's look at the other equation:

(-3) + 4*(2) = 5

-3 + 8 = 5

5 = 5

This is also true, then the point (-3, 2) is a solution for both equations in the system, which means that the point (-3, 2) is a solution for the system.

Then the correct options are B and E.

Answer:

A

Step-by-step explanation:

1/2f

Answer:

6

Step-by-step explanation:

If you try to draw the triangle, it forms an isosceles triangle.

side AB has a length of 6cm. Side AB = Side AC. So the length of Side AC is also 6 cm.

Answer:

6cm

Step-by-step explanation:

Answer:

the cheapest cost would be to buy the large pack as there's a 25% discount resulting in tim only having to pay 38.25 rather than 60 for the small pack

Step-by-step explanation:

Answer:

3 = N

Step-by-step explanation:

Multiply the numerator and denominator by 10:

10(3/10) = 10(N/10) becomes 3 = N

Answer:

Hey mate.....

Step-by-step explanation:

This is ur answer.....

Step 1 :-

Step 2 :-

Hope it helps!

Follow me! ;)

Answer:

(4, -2),  (3, 7),  (5, 1),  (6, -2),  (7, -5)

Step-by-step explanation:

These are a few of the points, so you can just connect them!

Hope this helped! :)

Answer:

Step-by-step explanation:

If you have both the slope and a point on the line, use the point-slope formula y - k = m(x - h), which here is y + 2 = -3(x - 4).

Now you can choose a few x values at random and calculate the associated y values.  Let's try x = -1, x = 3, x = 0:

For x = -1:  y + 2 = -3(-1 - 4), or y = -2 -3(-5) = -2 + 15 = 13.  The point is (-1, 13).

For x = 3, we get y + 2 = -3(-1), or y = -2 + 3 = 1.  The point is (3, 1).

For x = 0, y = -2 - 3(-4), or y = -2 + 12 = 10.  The point is (0, 10).

Plot these three points and draw a line through them.

Answer:

1725

Step-by-step explanation:

40 is the number of the slope the height is 30.

Answer:

can you post with pictures, because I can't help you without the image of the question

Answer:

100 kids.

Step-by-step explanation:

First you add 240+260=500

Then you take 1/5 of 500 which is 100.

Hope this helps!

Answer:

x = 5

Step-by-step explanation:

Also in this case we can use the Pythagorean theorem in this way

x^2 + (5√3)^2 = 10^2

x^2 + 75 = 100

x^2 = 25

x = +/- 5

we take only the positive value because a lenght can’t be negative

x = 5

Answer:

108

Step-by-step explanation:

We first must find the total per year of every family.

Remember... there are 12 months in a year

Wilson: 18 × 12 = 216

Kumar: 16 × 12 = 192

Lopez: 27 × 12 = 324

Anders: 14 × 12 = 168

Johnson: 15 × 12 = 180

The Lopez family borrows the most. (324 books)

The Wilson family borrows the second most. (216 books)

324 - 216 = 108

Answer:5/2/320=900

Step-by-step explanation:

Answer:

its s and d

Step-by-step explanation:

Answer: 1,-3,5,-8

Step-by-step explanation: I have the same questions

Answer:

Step-by-step explanation:

2x + 12 + x + 1 + x+ 4

2x + x + x = 4x

12 + 1 + 4 = 17

Answer:

486

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

i totally forgot how to write the equation so i did it the long way and i got with 16 shovels of dirt you get 100 pounds

Answer:

Step-by-step explanation:

c. trust me im right

Answer:

e

Step-by-step explanation:

Answer:

saw this question on egde its b

Answer:

(6,5) is an ordered pair to this question.

[tex]\boxed{\large{\bold{\blue{ANSWER~:) }}}}[/tex]

1st we have to go right to the origin 6

then up to 5

According to the question,

coordinate

Answer:

He is left with 5 feet and 10 inches.

Answer:

96 feet

Step-by-step explanation:

Answer:

32 yards is equal to 96 feet. Hope this helped!! :D

Answer:

x=90

Step-by-step explanation:

3x-160 = x+20. Why you may ask? they are corresponding angles which makes them congruent. 2x = 180, so x = 90

Answer:

90

Step-by-step explanation:

angle 1 and 4 are equivalent so:

3x - 160 = x + 20

_________________

3x - 160 = x + 20

   +160   I  +160

  3x = x + 180

  - x  I   - x

   2x = 108

   ÷2  I ÷2

      x = 90

Answer:

The explanation is given below

Step-by-step explanation:

Her error is that she multiplied the possibilities of her meal that involves eggs with milk, granola & oatmeal but the possibilities involves orange juice with egg and granola & oatmeal

Now

If she choose milk so she can select eggs, granola, and oatmeal so there are 3 possibilities also with the orange juice there is 3 possibilities

So, the sample space is

= 3 + 3

= 6 outcomes  

Answer:

[tex]50^{o}[/tex]

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

Add 40 degrees to the 90 degrees and that will become 130 and all triangles add up to 180 so subtract 130 from 180 and you'll be left with 50