Hi! Just a quick question, whats the equation i have to type?
The sum of the angle measures of the polygon is 540°. Write and solve an equation to find the value of x.

As its a Quadrilateral

Using angle sum property

[tex]\\ \sf\longmapsto 15x-5+65+100+95=360[/tex]

[tex]\\ \sf\longmapsto 15x+60+195=360[/tex]

[tex]\\ \sf\longmapsto 15x+255=360[/tex]

[tex]\\ \sf\longmapsto 15x=360-255[/tex]

[tex]\\ \sf\longmapsto 15x=105[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{105}{15}[/tex]

[tex]\\ \sf\longmapsto x=7[/tex]

The angle sum property of a quadrilateral

⇛ ∠E + ∠F + ∠G + ∠H = 360°

[tex]\bf{\pink{ \implies}} \: \tt \: 95 \degree \: + \: 100 \degree \: + \: 65 \degree \: + \: (15x - 5) \degree \: = \: 360 \degree[/tex]

[tex]\bf{\pink{ \implies}} \: \tt \:260 \degree \: - \: 5 \: + \: 15x \: = \:360 \degree[/tex]

[tex]\bf{\pink{ \implies}} \: \tt \:255 \degree \: + \: 15x \: = \: 360 \degree[/tex]

[tex]\bf{\pink{ \implies}} \: \tt \:15x \: = \: 360 \degree \: - \: 255 \degree[/tex]

[tex]\large\bf{\pink{ \implies}} \: \tt \:15x \: = \: 105 \degree[/tex]

[tex]\large\bf{\pink{ \implies}} \: \tt \:x \: = \: \frac{ \cancel{105 \degree} \: \: ^{7 \degree} }{ \cancel{15}} [/tex]

[tex]\large\bf{\pink{ \implies}} \: \bf \: \: x \: = \: 7 \degree[/tex]

Given:

Total number of people = 10

To find:

The number of ways in which 10 people can be divided into three groups of 2, 3, and 5 people respectively.

Solution:

We know that the number of ways to select r items form n times is:

[tex]^nC_r=\dfrac{n!}{r!(n-r)!}[/tex]

The number of ways to select 2 people from 10 is [tex]^{10}C_2[/tex].

The number of remaining people is [tex]10-2=8[/tex].

The number of ways to select 3 people from 8 is [tex]^{8}C_3[/tex].

The number of remaining people is [tex]8-3=5[/tex].

The number of ways to select 5 people from 5 is [tex]^{5}C_5[/tex].

Now, the total number of ways is:

[tex]Total=^{10}C_2\cdot ^{8}C_3\cdot ^{5}C_5[/tex]

[tex]Total=\dfrac{10!}{2!(10-2)!}\cdot \dfrac{8!}{3!(8-3)!}\cdot \dfrac{5!}{5!(5-5)!}[/tex]

[tex]Total=\dfrac{10\times 9\times 8!}{2\times 1\times 8!}\cdot \dfrac{8\times 7\times 6\times 5!}{3\times 2\times 1\times 5!}\cdot 1[/tex]

[tex]Total=45\cdot 56\cdot 1[/tex]

[tex]Total=2520[/tex]

Therefore, the total number of ways is 2520 to divide 10 people into three groups of 2, 3, and 5 people respectively.

Answer:

y= 3x+8

Step-by-step explanation:

not a 100% sure...

sry if its wrong

(try using Math-way, its rly helpful)

Answer:

Step-by-step explanation:

y=mx+b

To find slope: -4+1/-4+3

Slope=3

y=3x+b

Plug in either points ,as an example, i'll plug in (-3,-1)

-1=3(-3)+b

-1=-9+b

8=b

Finished formula: y=3x+8

Answer:

x/x∈R,x≤5 1/6

Step-by-step explanation:

Answer:

For number 5, it is D

For number 6, it is A

Step-by-step explanation:

For number 5, we have the dimensions options here.

We first need to check to see if all the choices give the perimeter of 34, as sometimes there are trick answers.

We know the 34 is the perimeter because we are looking for area, so we add the two given numbers and double it to find the perimeter since we have the length and width.

*(Formula for perimeter is 2(L + W)  )

(I already checked them all, and they all give to be 34 so they are all safe.)

Then we find the areas of each.

*(Formula for area is L * W   {the " * " symbol represents multiplication.)

We multiply 12 by 5 to get 60.

We multiply 13 by 4 to get 52.

We multiply 10 by 7 to get 70.

We multiply 9 by 8 to get 72.

Since we are looking for the greatest area, we look for the greatest number, which is the 72.

Therefore the 9 by 8 option, or D is correct.

For number 6, we are looking for the minimum perimeter and we have the area, so we set the same thing up except modified slightly.

We first check if all the areas are 64 to look for a trick answer.

We multiply 8 by 8 to get 64.

We multiply 1 by 64 to get 64.

We multiply 6 by 6 to get 36. (WHAT?!!?!! omg me big brain lolza. {nah jk})

We multiply 32 by 2 to get 64.

So we know the 6 by 6 option or C is wrong.

Then we look for the perimeters of the dimension solutions.

(This will skip C so it will go A, B, and then D, since we know C is incorrect and is unrelated now.)

2 ( 8 + 8 ) =  32

2 ( 1 + 64 ) =  130

2 ( 32 + 2 ) =  68.

Since we are looking for the smallest perimeter, it is the smallest answer this time.

So it must be A, since 32 is the smallest.

Hope this helps!

Answer:

Step-by-step explanation:

Answered by G a u t h m a t h

Please mark it as brainliest & thank it if it helped you

Answer:

A.

Step-by-step explanation:

42,000 units

Answer: tan A=4/3

Step-by-step explanation:

Theo đề ta có: 5sinA=4 suy ra: sinA=4/5, mà ta đã biết là: sinA= cạnh đối/cạnh huyền, suy ra: cạnh đối của góc A =4, cạnh huyền =5

Áp dụng định lí py ta go ta đc:

5^2=4^2+x^2

=) x=3

Vậy cạnh kề của góc A=3

Mà tanA = cạnh đối/cạnh kề

Vậy giá trị của tanA=4/3

(bạn vẽ hình ra thì có thể nhìn rõ hơn đấy, cảm ơn bạn đã tham khảo câu trả lời của mik)

Answer:

5•5= 25 (5•5)÷2= 12.5  25+12.5=37.5

Step-by-step explanation:

Answer:

d, 64.26 e, 27.475 f, 126.14

Step-by-step explanation:

For d, the diameter is 12 and the equation to find the circle is πr2. 6 is the radius, so 6x6=36, and 36x3.14 cause π=3.14. 36x3.14=113.04, and we have to divide by 2 cause its only half of the circle is shaded. 113.04/2=56.52. Now we have to do 12x12 to find the whole area of the square which is 144, then 144-113.04 cause we are finding the shade outside of the circle, so 144-113.04=30.96. Finally we divide by four of the outside corners, so 30.96/4=7.74. 7.74+56.52=64.26

So D is 64.26

WARNING: The rest of them i'm not gonna explain much of it i'm just gonna say what to do, but i'll put the answers! they are all very similiar. Also, i might be wrong, so if i'm wrong i'm sorry, i'm learning too!

For E, we have to find the smaller circle that has diameter of 10, then the bigger circle is diameter of 15, so find the area of the bigger circle then minus the smaller circle than divide by 2.

78.5-23.55=54.95

54.95/2=27.475

for F, we have to find the area of the half circle with diameter of 14, so find the area of the whole circle, and we dont have to divide two cause we have the other half on the other half, and half plus a half is a whole. Then we have to do 20x14 to find the whole square minus the circle.

280-153.86=126.14

Remember this might be wrong, so sorry if it is

Answer:

7, 11, 14 feet from shortest to longest

Step-by-step explanation:

Let's say that the shortest pipe is equal to x, and work from there.

The medium size piece is 4 feet longer than the shortest piece, so it is equal to 4+x

The longest piece is twice as long as the shortest piece, so it is equal to 2 * x.

The three pieces added up make up the 32 feet pipe, so we can write this as

(2*x) + (4+x) + x = 32

2*x + 4 + x + x = 32

4 * x + 4 = 32

subtract 4 from both sides to isolate the x and its coefficient

4 * x = 28

divide both sides by 4 to isolate the x

x= 7

Therefore, the shortest piece is x=7 feet long. The medium piece is x+4=11 feet long, and the longest piece is x*2=14 feet long

Answer:

Option C

Step-by-step explanation:

A function's input is assigned to exactly one output. Any input must not repeat.

Option A's not a function because the input of 3 repeats.

Option B's not a function because the input of -4 repeats.

Option C's a function because no inputs repeat.

Option D's not a function because the input of 5 repeats.

Hope this helps.

Answer:

B) 9

Step-by-step explanation:

Quotient means that it’s for DIVISION. The 18 is the dividend, 2 is the divisor, and the quotient is the answer:

Dividend ÷ Divisor = Quotient

18 ÷ 2 = 9

Answer:

40 girls 20 boys i think / guess

Step-by-step explanation:

Answer:

20/40

Step-by-step explanation:

i hope it help

Answer:

C. [tex]4\sqrt{7} -4x\sqrt{7}[/tex] is correct

Steps:

[tex]4\sqrt{7} -3\sqrt{7}x-x\sqrt{7} \\\\4\sqrt{7} -3\sqrt{7} x-\sqrt{7} x\\\\4\sqrt{7} +(-3\sqrt{7} x-\sqrt{7} x)\\\\4\sqrt{7} -4\sqrt{7} x[/tex]

Answer:

C. 4√7 - 4x√7

Step-by-step explanation:

4√7 - 3x√7 - x√7

combine like terms

4√7 - 4x√7

Answer:

-5 and 2

-3 and 0

-2 and -1

...gives -3

Step-by-step explanation:

Answer:

Step-by-step explanation:

(-5,2), (-2,-1), (-3,0)

all pairs add up to -3

Answer:

The answer is......

COS A

Answer:

JKM is acute and MKL is obtuse

Step-by-step explanation:

because an acute triangle's interior angles are always 180° and an obtuse triangle's sum is greater than 90°

Answer:

c

Step-by-step explanation:

5/4>6/5

multiply by 20

25>24

which is true.

Answer:

B 0

Step-by-step explanation:

r is a horizontal line

horizontal lines are of the form y= constant

The slope for horizontal lines are 0

Parallel lines have the same slope.

Answer:

B 0

Step-by-step explanation:

the slope of a line is the rise divided by the run, or the Y increase divided by the X increase. the fact that the Y value does not increase makes the slope 0

Answer:

634806 km travelled by the Moon as it orbits 2.62 radians about the Earth.

Step-by-step explanation:

convert to pi.

Step-by-step explanation:

5⁵/5⁸

= 5^5-8

= 5^-3

or

(-5)×(-5)×(-5)

= -125

By the law

a^m÷ a^n = a^m-n

Answer:

j = 10.1

Step-by-step explanation:

The difference between 9.5 and 11.3 is

11.3 - 9.5 = 1.8

This is split into 3 divisions, that is

1.8 ÷ 3 = 0.6

Then

j = 9.5 + 0.6 = 10.1

Answer:

2y=2y-4=x

Step-by-step explanation:

Answer:

$5.00

Step-by-step explanation:

$3.50+$1.50=$5.00

Answer:

Step-by-step explanation:

Prime factorize 9 and 125

9 =  3* 3 = 3²

125 = 5 * 5 * 5 = 5³

3³ * 9² * 125³ ÷ 9³ = [tex]\frac{3^{3}*(3^{2})^{2}*(5^{3})^{3}}{(3^{2})^{3}}\\[/tex]

                            [tex]= \frac{3^{3}*3^{4}*5^{9}}{3^{6}}\\\\=\frac{3^{3+4}*5^{9}}{3^{6}}\\\\= \frac{3^{7}*5^{9}}{3^{6}}\\\\=3^{7-6}*5^{9}\\=3*5^{9}[/tex]

Exponent laws:

[tex](a^{m})^{n}=a^{m*n}\\\\\\a^{m}*a^{n} = a^{m +n}\\\\\\\frac{a^{m}}{a^{n}}=a^{m-n} \ ; \ m > n[/tex]

Answer:

The answer is B.

I think I answered the wrong answer.