How many triangles can I make out of this shape?

How Many Triangles Can I Make Out Of This Shape?

Answers

Answer 1

Answer:I think it is 84

Step-by-step explanation: 9.3 x 9

Answer 2

Answer:

1,302 triangles

Step-by-step explanation:

All triangles are formed by the intersection of three diagonals at three different points. There are five arrangements of three diagonals to consider. We classify them based on the number of distinct diagonal endpoints. We will directly count the number of triangles with 3, 4, and 5 endpoints. We will then count the number of potential triangles with 6 endpoints, then correct for the false triangles.

You can make 84 triangles with 3 diagonal endpoints, 504 triangles with 4 diagonal endpoints, 630 triangles with 5 diagonal endpoints, and 84 triangles with 6 diagonal endpoints. This adds up to be 1,302 triangles altogether.


Related Questions

A picture of two horses pulling a carriage to the left.

A free body diagram with 5 force vectors. The first vector is pointing downward, labeled F Subscript g Baseline = negative 14,700 N. The second vector is pointing right, labeled F Subscript f Baseline = 75 N. The third vector is pointing upward, labeled F Subscript N Baseline = 14,700 N. The fourth vector is pointing left, labeled F Subscript pi Baseline = negative 1000 N. The fifth vector starts at the tip of the fourth vector, is pointing left, labeled F Subscript p2 Baseline = 800 N. The up and down vectors are the same length. The right vector is shorter than the left vector.

Two horses, Thunder and Misty, are accelerating a wagon 1.3 m/s2. The force of friction is 75 N. Thunder is pulling with a force of 1,000 N, while Misty is pulling with a force of 800 N. The force of gravity is 14,700 N and the normal force is 14,700 N. What is the mass of the wagon? Round the answer to the nearest whole number.

Answers

Answer:

1,327

Step-by-step explanation:

Find the perimeter and area of the polygon with the given vertices.

W(5,−1), X(5, 6), Y(2,−1), Z(2, 6)

Answers

Answer:

Perimeter: 20, Area: 21

Step-by-step explanation:

Based on points (2,6) and (5,6) :  w = 5 - 2 = 3 Base on points (5,6) and (5,-1 ): l = 6 - (-1) = 7

Perimeter: 2 x (3 + 7) = 20 Area: 3 x 7 = 21

Solve x^2 — 8x + 15 = 0 by completing the square.
The solutions are x =
and x=​

Answers

x^2-8x+15=0
Completing the square
Therefore x^2 -8x + (8/2)^2 -(8/2)^2+15=0
(X-4)^2 -16+15
(x-4)^2 -1=0
(x-4)^2=1
x-4=+1,-1
x=5 and x=3

Find the area of the parallelogram ABCD, where DC = 10cm, AD = 6cm, and angle A = 30 degrees

Answers

Answer:

6cm

Step-by-step explanation:

hope this helped

Answer:

60

Step-by-step explanation:



HELP ME PLEASE ! we’ll do brainlest?

Answers

Answer:

Only the first two

Step-by-step explanation:

Plot all the points on the graph in your mind and see if the points are either in the red or on a solid colored line. That will show you whether a  specific point is a solution to a system of inequality or not.

please answer i will give you brainiest!!!!!!!!!!!!!!!!!!

Answers

Answer:

I'm pretty sure it's A because its showing that the line starts from 1 and goes up if that makes sense.

Answer:

B

Step-by-step explanation:

x < 1 means that x is lesser than 1. A shows x is more than 1 so it is wrong. C shows x is more than -1 which is not entirely true since x could be more than -1, but not less than 1. However, the line in C stretches all the way to 8 which is more than 1 so it is wrong.  D shows that x is lesser than -1, but x could have been 0 or -1, so it is not true either.

A car dealership increase the price every swing her by 6% devotional price was $37,800. What is the new price?
write the new price in terms of the original price write your answer as a decimal

Answers

$40,068 exact no decimal points

Answer:

$40,068 no decimals enclode in it

27
Karim (22 years) tells his brother Ziad (8 years).
«l haven't given you a gift for your birthday, but I'll make it up to you. The year when my age will be
triple yours. I'll give you a wonderful gift».
After making his calculations, Ziad tells his brother :
It will cost you nothing». Explain why.
(solve it in an equation of 1 unknown)​

Answers

Answer:

Karim will never have triple age as his brother, it has happened already 1 year ago, thus he won't give him a gift

Step-by-step explanation:

Equations

Let's make:

x = the number of years from now

Karim now is 22 and Ziad is 8. x years from now Karim will be

22 + x years old and Ziad will be

8 + x years old.

Karim will give Ziad a wonderful gift when:

22 + x = 3(8 + x)

22 + x = 24 + 3x

Solving:

x = -1

This means that Karim will never have triple age as his brother, it has happened already 1 year ago, thus he won't give him a gift

if you have 12 pounds of food and you use 3/8 of that bag of food a day how long untill its all gone how many days

Answers

Answer: 0.375 bc 3 divided by 8

Step-by-step explanation:

Factor completely 5b^2-11b+6

Answers

Answer:

(b - 1) (5b - 6)

Step-by-step explanation:

‏‏if the scientific notation is 6.1x10^4 what would it look like in standard form? MARKING BRANLIEST!!!!

Answers

Answer:

61,000

Step-by-step explanation:

Move it 4 places to the right.

SOMEONE PLS HELP ME PLS ITS DUE TMRW

Answers

A) 11.5x + 1 = 94
This is because 5.5x + 6x equals 11.5x and 2.5 - 1.5 = 1.

B) x = 8
11.5x + 1 = 94
-1 -1
11.5x = 93
93/11.5 = 8

C) 42.5 by 50.5
5.5(8) - 1.5 = 42.5
6(8) + 2.5 = 50.5

how do you solve 2 - 2n = 3n + 17

Answers

First add 2n to 3n u get 5n
2=5n+17
Subtract 17 to both sides
-15=5n
Divide 5 both sides
N=-3

Final Answer: [tex]n = -3[/tex]

Steps/Reasons/Explanation:

Question: How do you solve [tex]2 - 2n = 3n + 17[/tex]?

Step 1: Subtract [tex]2[/tex] from both sides.

[tex]-2n = 3n + 17 - 2[/tex]

Step 2: Simplify [tex]3n + 17 - 2[/tex] to [tex]3n + 15[/tex].

[tex]-2n = 3n + 15[/tex]

Step 3: Subtract [tex]3n[/tex] from both sides.

[tex]-2n - 3n = 15[/tex]

Step 4: Simplify [tex]-2n - 3n[/tex] to [tex]-5n[/tex].

[tex]-5n = 15[/tex]

Step 5: Divide both sides by [tex]-5[/tex].

[tex]n = -\frac{15}{5}[/tex]

Step 6: Simplify [tex]-\frac{15}{5}[/tex] to [tex]-3[/tex].

[tex]n = -3[/tex]

~I hope I helped you :)~

1) When I double my number and add 3, I get 13. WRITE AN EQUATION that represents the hint.

2) When I double my number and add 1, I get my number plus 4. WRITE AN EQUATION that represents the hint.

3) When I subtract five from my number, I get my number multiplied by 0.5. WRITE AN EQUATION that represents the hint.

4) When I triple my number and add 4, I get 4 times my number minus 3. WRITE AN EQUATION that represents the hint.

***please answer quickly!!!

Answers

2x+3=13

2x+1=x+4

x-5=x.0.5

3x+4=4x-3

Martha drew a pair of intersecting non-perpendicular lines, I and m. She numbered one pair of vertical angles <1 and <2, and she labeled the second pair of vertical angles <3 and <4. Martha made the conjecture that <1 =~ <2 to validate this conjecture, which of the following would be appropriate reasoning?

A. M<1+ M<2 +M<3 + m<4 = 360

B. The sum of the measures of angles of a triangle is 180°

C. The measure of all right is 90°

D. Because <1 and <2 are each supplementary to <3, they are therefore congruent

Answers

Answer:

b 3eedeehheheehejwjjhhhejjererj

Work out
86
% of
570
kg

Answers

Answer:

The answer would be 490.2 kg because when you're finding the percent of a certain number, you can multiply the number with the percentage. When converting the percentage, you have to move the decimal point 2 times to the left.

Answer:

490.02kg

Step-by-step explanation:

In short-

86%= 86/100

"of" in maths is basically "multiply"

therefore,

86/100 * 570=x

0.86*570=x

x=490.02

HELP ME 50 POINTS RN

Answers

Answer:

A

Step-by-step explanation:

Because it can only lift 2,200 pounds and that means it can lift 2,200 - 0 Pounds

If P(A) is ⅗. Find P (not A)​

Answers

Answer:   2/5

Work Shown:

P(A) + P(not A) = 1

P(not A) = 1 - P(A)

P(not A) = 1 - 3/5

P(not A) = 5/5 - 3/5

P(not A) = (5-3)/5

P(not A) = 2/5

Step-by-step explanation:

P(A) + P(not A) = 1. Since P(A) = 3/5, we have:

P(not A) = 1 - P(A) = 1 - 3/5 = 2/5.

Type the correct answer in each box.
If cos -105º = -0.26 and csc -105º = -1.03, then cos 105º = ? and csc 105º = ?

Answers

Answer:

[tex]\cos(105^\circ)\approx-0.26\text{ and } \csc(105^\circ)\approx1.03[/tex]

Step-by-step explanation:

We are given that:

[tex]\cos(-105^\circ)\approx-0.26\text{ and } \csc(-105^\circ)\approx-1.03[/tex]

And we want to find:

[tex]\cos(105^\circ)\text{ and } \csc(105^\circ)[/tex]

Part A)

Remember that cosine (and secant) is an even function. By definition, this means that:

[tex]\cos(\theta^\circ)=\cos(-\theta^\circ)[/tex]

Therefore, since we know that cos(-105°) is about -0.26, it follows from the definition that:

[tex]\cos(-105^\circ)=\cos(105^\circ)\approx-0.26[/tex]

Part B)

Remember that cosecant (and sine) is an odd function. By definition, this means that:

[tex]\csc(-\theta^\circ)=-\csc(\theta^\circ)[/tex]

We know that csc(-105°) is about -1.03.

By the above definition, we can rewrite csc(105°) as csc(-(-105°)) or -csc(-105°).

Hence, it follows that:

[tex]\csc(105^\circ)=-\csc(-105^\circ)=-(-1.03)=1.03[/tex]

The school store sells markers for $0.25 each and pencils for 0.50 each.Anthony spent $ 5.50 to buy a total of 16 markers and pencils. How many markers did Anthony buy?

Answers

Answer:

The answer to your question is Antony bought 5 pens

Step-by-step explanation:

pens = p = $0.35

pencils = n = $0.15

total amount = 12

total money spent = $2.80

Process

1.- Write equations

              p  +  n  = 12                -------------- (l)

       0.35p  +  0.15n = 2.80      --------------(ll)

2.- Solve the system of equations by elimination

Multiply equation l by - 0.35

        - 0.35p - 0.35n = -4.2

          0.35p + 0.15 n = 2.8

             0      - 0.2n = -1.4

Solve for n

                        n = -1.4 / -0.2

                        n = 7      He bought 7 pencils

3.- Find the value of p

             p + 7 = 12

             p = 12 - 7

             p = 5                He bought 5 pens

A line includes the points (6, 9) and (3, 3). What is its equation in slope-intercept form?

Answers

Answer:

y=2x-3

Step-by-step explanation:

the perimeter of a isosceles triangle is 5(2+root2) find the area

Answers

Answer:

12.5

Step-by-step explanation:

If an isosceles right triangle as the length of the equal sides is  a , then the length of the hypotenuse will be  a2–√  (using pythogoras theorem.

Hence the perimeter will be  a+a+a2–√=a(2+2–√)  

Hence the equal sides of the triangle in question has the length of  a=5  

Area of the triangle  =  12∗Height∗Base  

=12∗5∗5=12.5

6. Complete: (ref.p.290)
a. 18 ft ..............d
b. 6.5c =.......................fl. oz

Answers

Answer:

a) What is d?

b) 52fl.oz

Cole buys a new laptop for $335. He makes a down payment of $50 and pays the rest in 6 equal monthly payments, p. What equation represents the relationship between the cost of the laptop and Cole’s payments? Cole buys a new laptop for $335. He makes a down payment of $50 and pays the rest in 6 equal monthly payments, p. What equation represents the relationship between the cost of the laptop and Cole’s payments?

Answers

Answer:

335=47.5x+50 I believe

Step-by-step explanation:

what is the equation of the line

Answers

Answer:

x=3

Step-by-step explanation:

Answer:

X = 3

Step-by-step explanation:

I HOPE, PLS DON'T HATE ME :(

PLZZ HELP WITH ALGEBRA..
PART A
what is the equation of line 1?
Enter the correct answer in the box by replacing the values of m and b

PART B

what is the equation of line 2?
Enter the correct answer in the box by replacing the values of m and b

PART C
Use your answers from part A and B and the substitution method to solve the system shown in the graph.
What is the solution to the system?

Answers

Answer:

A: y= 2x -2

B: y= 1/3x +2

C: set the two = to each other and solve

2x-2= 1/3x +2

1 2/3x -2= 2

1 2/3x = 4

x= 12/5

y= 1/3 (12/5) +2

y= 14/5

answer to C is (12/5 , 14/5)

Answer:

answering so they get brainest

Step-by-step explanation:

Write an equation in slope-intercept form of the line that is parallel to the line y = 3x - 1 and passes through ( - 2, - 8)

Answers

y = 3x - 2

Since it is parallel to y = 3x - 1, it has its slope, but also when x = -2, y = -8.

Create an equation... starting with:

y = 3x

When x = -2, y = -8:

y = 3x - 2

Check work by substituing x for -2:

y = 3(-2) - 2

y = -6 - 2

y = -8 ✔️

Find the value of y picture *****

Answers

i think its 54 too soo

A recipe calls for 1 ⅔ cups of milk. If you wanted to make 4 batches of the recipe and had 10 cups of milk to use, how much milk would you have left over?

Answers

Answer:

You would have 3 1/3 cups of milk left over.

Step-by-step explanation:

1 2/3 * 4 = 6 2/3

10 - 6 2/3 = 3 1/3

Someone help me plsss with my math work. the teacher said its eliminating method but i dont understand it.
8a+3b=27
29-5b=1​

Answers

if this is systems of equations I will help. I can’t really go into detail right now because I am doing work of my own but I will tell you the answer.

The answer is (51/50, 28/5)

a= 51/50
b= 28/5

Have a great day✨❤️
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