how do you decompose a parallelogram into two triangles

Answers

Answer 1

Answer:

Step-by-step explanation:

A parallelogram can always be decomposed into two identical triangles by a segment that connects opposite vertices. Going the other way around, two identical copies of a triangle can always be arranged to form a parallelogram, regardless of the type of triangle being used.


Related Questions

The formula V equals S to the third power gives the volume V of a cube with the side length S the volume of a cube that has a side length of 3 inches is__?__ inches cubed

Answers

Answer:

27

Step-by-step explanation:

The formula for the volume of a cube is given as [tex]V=s^{3}[/tex]. if s=3in, then V=27inches cubed.

What is the maximum integer value that
satisfies the inequality 5x - 11 < 43?

Answers

Answer:

If you're asking for x it's 10

Step-by-step explanation:

5x - 11 < 43

5x < 54

The maximum value of x is 10 (because 5x10<54)

A new sports equipment company, Sports EQUIP, sold 2,835 helmets in their second year

of operation. This is 225% of the number of helmets they sold in their first year. Another

sports equipment company, Sports Inc., sold 446 helmets in their second year of

operation. This is 35% of the number of helmets they sold in their first year. Which

company sold more helmets in their first year?

Answers

Answer:

sports Inc sold more helmets

I SUCK AT THIS. PLEASE HELP! Factor x^2-11x+24x.

Answers

Answer: I think it is (x+3) (x+8)

[tex]x^{2} +13[/tex]

Step-by-step explanation: can u gimme brain plz!

A random number generator is set to produce integers from 1 to 10.
About how often would you expect to get an even number in 300 trials?
You would expect to get an even number about
times.

Answers

Answer:

you would expect to get 100-200 even numbers. but if u want an exact answer it would be 150 times.

Step-by-step explanation:

there are 5 even and odd numbers. so a 1/2 chance. and 1/2 of 300 is 150

(24 points) Need some help please !

Answers

Answer:

39°

Step-by-step explanation:

3x+15+1+10x+60=180

13x+76=180

13x=180-76

13x=104

x=8

A=3x+15

A=3(8)+15

A=24+15

A=39

Find the slope of the line represented by the data below. x|-9 -5 -1 3 7 y 4 7 10 13 16,​

Answers

Slope and is = 3/7 or 0.75

PLEASE HELP I'LL GIVE BRAINLIEST!!!!!!!!! According to the Census Bureau, in 2014 California had an estimated population of 3.88 × 107 and Wyoming had a population of 5.84 × 105. Complete the following sentences.

3.8216 × 107 0.38216 × 107 3.8216 × 106 38.216 × 107 0.66 × 101

66.4 × 101 6.64 × 101

The population of California is __________ more than the population of Wyoming
Alternatively, the population of California is _________ times the population of Wyoming.

Answers

Answer:

The population of California is [tex]3.3216 * 10^{7}[/tex] more than the population of Wyoming.

Alternatively, the population of California is [tex]6.64 * 10^{1}[/tex] times the population of Wyoming.

Step-by-step explanation:

The first part is to take the numbers out of the scientific notation. The estimated population of California is 38,800,000, and the population of Wyoming is 584,000.

Not that we've done that, let's start with the first part of the problem.

"The population of California is __________ more than the population of Wyoming."

This is a statement of subtraction, because it's not asking how many TIMES more. So, we subtract Wyoming's population from California's population.

[tex]38,800,000 - 584,000 = 38,216,000.[/tex]

Putting that number into scientific notation is easy: move the decimal to the place in the number where there will only be one number in front of the decimal: 3.3216. How many number slots until you have only one number in front of the decimal? 7. So, we know that the power of 10 is going to be 7. So, the first part of the question answers to:

[tex]3.8216 * 10^{7} .[/tex]

Now for the second part.

"Alternatively, the population of California is _________ times the population of Wyoming."

This is a problem of division. The question is asking us to divide California's population by Wyoming's population.

[tex]\frac{38,800,000}{584,000} = 0.664383562 * 10^{2} .[/tex]

We need to have one number in front of the decimal point, so we move it behind the first 6, giving us 6.64. Because we did this, we need to bump the exponent from 2 to 1, leaving us with:

[tex]6.64 * 10^{1}.[/tex]

So, the answer to the question is:

1. [tex]3.8216 * 10^{7}.[/tex]

2. [tex]6.64 * 10^{1}.[/tex]

Hope this helped you, and I hope you get a perfect score!! :)

Answer:

The population of California is ( 3.8216 x 10⁶ ) more than the population of Wyoming.

Alternatively, the population of California is ( 6.64 x 10¹ ) times the population of Wyoming.

Step-by-step explanation:

I'm pretty sure this is what the other person was trying to say it was just very confusing.

Anyway I got this right on my mastery test.

so thx for the points

I quite literally have no idea , please help

Answers

Answer:

The trapezoid is D

Step-by-step explanation:

I learned this in 3rd grade

(This is fundamental Counting principle) choosing from 35 different flavors of ice cream; one, two or three scoops; and sugar or waffle cone.

Answers

Answer:

210

Step-by-step explanation:

35x3x2=210

At Cascadia College, students need to take a 100 level Math and English courses plus an optional Philosophy course. In any quarter, the college needs to make available 4 less English sections than Math sections. In any quarter student demand for the optional Philosophy course is half as many sections as English sections. Available classrooms limit the total sections of all three courses to 44
Given these constraints how many sections of each course should the college make available each quarter to meet demand?
Math sections =
English sections =
Philosophy sections =

Answers

Answer:

Math sections = 20

English sections = 16

Philosophy sections = 8

Step-by-step explanation:

This question can be solved using a system of equations.

I am going to say that:

x is the number of Math sections.

y is the number of English sections.

z is the number of Philosophy sections.

Available classrooms limit the total sections of all three courses to 44.

This means that [tex]x + y + z = 44[/tex]

4 less English sections than Math sections.

This means that [tex]y = x - 4[/tex]

In any quarter student demand for the optional Philosophy course is half as many sections as English sections.

This means that [tex]z = \frac{y}{2} = \frac{x - 4}{2}[/tex]

Finding the number of Math sections:

We have both y and z as functions of x. So

[tex]x + y + z = 44[/tex]

[tex]x + x - 4 + \frac{x-4}{2} = 44[/tex]

[tex]2x + \frac{x-4}{2} = 48[/tex]

Multiplying everything by 2

[tex]4x + x - 4 = 96[/tex]

[tex]5x = 100[/tex]

[tex]x = \frac{100}{5}[/tex]

[tex]x = 20[/tex]

Then

[tex]y = x - 4 = 20 - 4 = 16[/tex]

[tex]z = \frac{y}{2} = \frac{16}{2} = 8[/tex]. So

Math sections = 20

English sections = 16

Philosophy sections = 8

Diana and Michael, who are taking different classes, are arguing about who did better on their most recent test. Diana received a score of 92 on her History test and Michael received a 688 on his Math test. The mean test score for the History class is 71 with a standard deviation of 15.The mean test score for the Math class is 493 standard deviation of 150. Who did better, relative to other students in the same class? Justify your answer.

Answers

Answer:

Diana's score is better.

Step-by-step explanation:

In Diana case :

Score = 92

Mean score , μ = 71

Standard deviation σ = 15

So,

P( x ≥ 92 ) = 1 - P( x ≤ 92 )

                = 1 - P(z ≤ [tex]\frac{x - u}{\sigma}[/tex] )

                = 1 - P( z ≤ [tex]\frac{92 - 71 }{15}[/tex] )

                = 1 - P( z ≤ 1.4 )

                = 1 - 0.9192

                = 0.0808 = 8.08 %

⇒P( x ≥ 92 ) = 8.08%

∴ we get

Diana score is > 91.92% other students in the class.

In Micheal case :

Score = 688

Mean score , μ = 493

Standard deviation σ = 150

So,

P( x ≥ 688 ) = 1 - P( x ≤ 688 )

                = 1 - P(z ≤ [tex]\frac{x - u}{\sigma}[/tex] )

                = 1 - P( z ≤ [tex]\frac{688 - 493 }{150}[/tex] )

                = 1 - P( z ≤ 1.3 )

                = 1 - 0.9032

                = 0.0968 = 9.68 %

⇒P( x ≥ 688 ) = 9.68%

∴ we get

Micheal score is > 90.32% other students in the class.

From both scores , we can conclude that

Diana's score is better.


its something about cookies

Answers

Answer:

huh????

Step-by-step explanation:

Answer:

cool. i like cookies.

Which value is the solution for this equation2
2(a + 3) -4

Answers

Answer:

a=-1

Step-by-step explanation:

2(a+3) -4

you bring it to the other side

2a + 6-4 so 2a+ 2

2a =-2

a =-1

Find the equation of the line with slope –5/2
and y-intercept (0,0).

Answers

Answer:

y= -5/2X

.....................

Miranda needs to add 68+19 mentally but is struggling.If she knows that 68+20=88 how can she use this to help.Use a similar approach to describe how Miranda could add 37+29 mentally

Answers

If Miranda knows that 68+20=88 she can just subtract 1 from that answer because 20 is on less than 19. Miranda can use the same approach for 37+29 if she knows 37 + 30.
If she knows 68+20=88, then all she has to do is subtract 1 to get the answer to her original equation. If you use the same approach in the second equation it looks like this: 37+30=67 and she needs the answer to 37+29 so just subtract 1 and there’s your answer 66.

Which triangle most likely has the angles 56°, 48°, and 76°?
A. triangle A
B. triangle B
C. triangle C
D. triangle D

Answers

Answer:

c

Step-by-step explanation:

find the prime facrorization for 100 A.2² × 5² B.2×50 C.4×25 D.2³ × 5² E. 2² × 5³ ​

Answers

Answer:

A

Step-by-step explanation:

100-25*4=5 squared*2 sqaured

so A

Answer:

prime factorization of 100=a.2²+5²

The difference of two numbers is 2. Their sum is 12. What are the numbers?

Answers

Answer:

the numbers would be 5 and 7.

Step-by-step explanation:

"the difference of two numbers is 2."

7 - 5 = 2

"their sum is 12."

7 + 5 = 12

since the difference of 7 and 5 is 2 and the sum of 7 and 5 is 12, 5 and 7 are the numbers that fulfill the statement.

i hope this helps! have a lovely rest of your day <3

Write the equation in standard form.
y = 7x + 2/3

Answers

Answer:

It is probably 21x-3y= -2

Answer:

Here is the ANSWEr :p

Step-by-step explanation:

Sorry it dark my time is 7:37pm Wed Feb 24 2021!!!!

life is slavery

all your life you work

first its preschool
then its school
then college
then you go off to work
then you retire and rot away in your kids' house or in a retirement home
then you die

one day you are a 13 year old rocking out to nirvana then you die

Answers

i don't know how to feel about this but this is deep

bro- are you ok? like really- are you good?

Suppose has a solution. Explain why the solution is unique precisely when has only the trivial solution. Choose the correct answer.

Answers

Answer:

Because [tex]x = y[/tex], then the solution is unique.

Step-by-step explanation:

Given

[tex]Ax = b[/tex]

[tex]Ax=0[/tex]

See comment for complete question

Let there be two solutions x and y.

Such that:

[tex]Ax = b[/tex] and [tex]Ay = b[/tex]

Since:

[tex]Ax = Ay = b[/tex]

Then:

[tex]Ax - Ay = b - b[/tex]

[tex]Ax - Ay = 0[/tex]

This implies that:

[tex]Ax - Ay = A(x-y) = 0[/tex]

The only trivial solution is:

[tex]Ax - Ay = A(x-y) = 0[/tex]

Such that:

[tex]x -y = 0[/tex]

Then

[tex]x = y[/tex]

Because [tex]x = y[/tex], then the solution is unique.

7)
Each choice compares two expressions. Choose ALL pairs of expressions that are equivalent.
A)
y + y + y = 3y
B)
2c - 5 = ((x 0 - 5
K2 + 3;= k + k + i ++
D
3x + 2y = (x * * * ) + x)
E)
1a + 2b = (a* a * a) + (6 + 6)

Answers

A is the answer because its the only one that is in its exact formation of the question

Answer:

the Answer Is A and E

Step-by-step explanation:

hi can you guys help me with this :) ​

Answers

Answer:

1/2 + 1/4 would be 3/4.

1/2 + 1/6 would be 2/3.

Step-by-step explanation:

Answer:

No 2 :8

Sorry if wrong........

"Y varies directly as x". If y = 3 when x = 24, find y when x = 10.

Answers

Answer:

y=3x-24

Step-by-step explanation:

Select the equation that contains the point (4,7) and in which the slope equals 1​

Answers

Answer:

y-7=x-4

Step-by-step explanation:

If you change the equation to y=mx+b yout would get Y=x+3 plug in the point (4,7) and you would get 7=4+3

7=7 so that is correct.

s is inversely proportional to t.
When s
0.4, t = 4
Work out s when t = 0.8​

Answers

s = 2

0.4x4 = 1.6
1.6/0.8 = 2

Answer:

0.2

Step-by-step explanation:

Sorry i dk how to explain it

Simplify: 10 divided by 1/4
1) 40
2) 1/40
3) 2 and 1/2
4) 20

Answers

Answer:

1

Step-by-step explanation:

10*4=40

so 1

An ice company charges $8.16 for 6 bags of ice . If you buy 8 bags of ice how much would it cost you ?

Answers

Answer:

$10.88

Step-by-step explanation:

1. Find the cost of each bag

8.16/6 = $1.36

2. Then muti the cost of each bad with the ammount you are buying

1.36(8) = $10.88

$10.88

Explanation:

If you just set up a proportion it can be found very easily.

8.16/6=x/8

Simply multiply the denominators to their opposite numerators.

65.28=6x

Then just divide 6 over to the other side

10.88

Which fraction is equivalent to (7-3)*3/10^4-10^2
A. 16/25
B. 1/25
C. 8/1125
D. 16/2475

Answers

Answer:

C.8/1125 is the answer......

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