The measures of the interior angles of a pentagon are 2x + 15, 3x, 3x + 5, 4x + 10, and 5x. What is the measure of the largest angle for this pentagon?
130
140
160
150

Answer:

for the solve and check:

[tex]2\frac{3}{8}+x=3\frac{1}{4} \\2\frac{3}{8}-2\frac{3}{8}+x=3\frac{1}{4}-2\frac{3}{8}\\\\x=3\frac{1}{4}-2\frac{3}{8}\\\\\\x=\frac{7}{8}[/tex]

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[tex]3\frac{3}{8}+x=4\frac{1}{4} \\3\frac{3}{8}-3\frac{3}{8}+x=4\frac{1}{4}-3\frac{3}{8}\\\\x=4\frac{1}{4}-3\frac{3}{8}\\\\\\x=\frac{7}{8}[/tex]

for the second solve and check:

[tex]4\frac{3}{8}+x=5\frac{1}{4} \\4\frac{3}{8}-4\frac{3}{8}+x=5\frac{1}{4}-4\frac{3}{8}\\\\x=5\frac{1}{4}-4\frac{3}{8}\\\\\\x=\frac{7}{8}[/tex]

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[tex]5\frac{3}{8}+x=6\frac{1}{4} \\5\frac{3}{8}-5\frac{3}{8}+x=6\frac{1}{4}-5\frac{3}{8}\\\\x=6\frac{1}{4}-5\frac{3}{8}\\\\\\x=\frac{7}{8}[/tex]

Answer:

Step-by-step explanation:

Green picture

x = 2.25 ft = 2 1/4 ft

we substitute 2 1/4 for x

x = 2 1/4 ft

3 3/4 ft + 2 1/4 ft  = 6 ft

6 ft = 6 ft

Since 6ft is equal to 6ft...

Blue picture

It is 2 1/4 ft long

we substitute 7/8 ft for x

since 2 1/4 ft is equal ...

Yellow picture

2 3/8 ft - 2 3/8 ft + x = 3 1/4 ft - 2 3/8 ft

x = 3 1/4 ft - 2 3/8 ft

x = 7/8 ft

Check

x = 7/8 ft

2 3/8 ft + 7/8 ft = 3 1/4 ft

3 3/8 ft - 3 3/8 ft + x = 4 1/4 ft - 3 3/8 ft

x= 4 1/4 ft - 3 3/8 ft

x = 7/8 ft

check

x = 7/8 ft

3 3/8 ft + 7/8 ft = 4 1/4 ft

red picture

4 3/8 ft - 4 3/8 ft + x = 5 1/4 ft - 4 3/8 ft

x = 5 1/4 ft - 4 3/8 ft

x = 7/8 ft

check

x = 7/8 ft

4 3/8 ft + 7/8 ft = 5 1/4 ft

Answer:

c

Step-by-step explanation:

there

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Explanation:

A square has all four sides that are the same length. So all four sides are 12 cm

area = side*side = 12*12 = 144 cm^2

Or you could say

area = (side)^2 = (12)^2 = 144 cm^2

Squaring a number is the same as multiplying it by itself. Hence the name "square" refers to a side length pairing up with its corresponding area value.

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Side note: The perimeter is 4*(side) = 4*12 = 48 cm. It's possible that choice B is put in there as a trick answer.

B

If you do 4x12 you will end up with 48

Answer:

C. 61/pi/18

Step-by-step explanation:

I calculated logically

Answer:

value for X

3x-4 =41

3x =41+4

3x =45

x =15

Answer:

3 books

Step-by-step explanation:

Answer:

3 books

Step-by-step explanation:

On the first 1st month Tony gets 11 book but on the second month Tony gets 14

14 books - 11 books = 3 books

There is a pattern of 3 new books each month.

(1 month = 3 new books)

Tony gets 3 additional books every/each month.

9514 1404 393

Answer:

  FH = 16

Step-by-step explanation:

ΔGHE is a 5-12-13 triangle.

ΔEHF is a 3-4-5 triangle with a scale factor of 4, so side FH is 4·4 = 16 units.

_____

(3, 4, 5), (5, 12, 13), (7, 24, 25), (8, 15, 17) are all commonly used Pythagorean triples. The first two on the list are used in these triangles.

If you like, you can work out the numbers using the Pythagorean theorem, which tells you the square of the hypotenuse is equal to the sum of the squares of the other two sides.

For ΔEHG, that is ...

  GE² = EH² + HG²

  13² = EH² + 5²

  EH² = 13² -5² = 169 -25 = 144

And for ΔEHF, ...

  FE² = EH² +HF²

  20² = 144 + HF²

  400 -144 = HF² = 256

  HF = √256 = 16

The length of side FH is 16 units.

Answer:

El polinomio final es:

[tex]=x(\frac{1}{3}y^{2}-3+\frac{2}{3}xy)[/tex]

Step-by-step explanation:

Agrupemos los términos con las mismas variables:

[tex](\frac{2}{3}xy^{2}-\frac{1}{3}xy^{2})+(2x-5x)+\frac{2}{3}x^{2}y=[/tex]

Sumemos estos terminos:

[tex]=\frac{1}{3}xy^{2}-3x+\frac{2}{3}x^{2}y=[/tex]

Podemos ver que los tres terminos tienen x, asi que podemos factorizar x.

Por lo tanto el polinomio final es:

[tex]=x(\frac{1}{3}y^{2}-3+\frac{2}{3}xy)[/tex]

Espero te haya servido.

El resultado de simplificar  [tex]\frac{2}{3}xy^2+2x-\frac{1}{3}xy^2+\frac{2}{3}x^2y-5x[/tex] es

[tex](\frac{1}{3}y^2+\frac{2}{3}xy-3)x[/tex]

El polinomio que queremos simplificar es

[tex]\frac{2}{3}xy^2+2x-\frac{1}{3}xy^2+\frac{2}{3}x^2y-5x[/tex]

primero, recopilamos términos similares

[tex]\frac{2}{3}xy^2-\frac{1}{3}xy^2+\frac{2}{3}x^2y+2x-5x[/tex]

luego simplificamos los términos similares. Es decir

Para el [tex]xy^2[/tex] términos:

[tex]\frac{2}{3}xy^2-\frac{1}{3}xy^2=(\frac{2}{3}-\frac{1}{3})xy^2\\\\=(\frac{1}{3})xy^2=\frac{1}{3}xy^2[/tex]

y para el [tex]x[/tex] términos:

[tex]2x-5x=(2-5)x\\=(-3)x=-3x[/tex]

la [tex]x^2y[/tex] términos ya está simplificado. Así que déjalo así.

Este es el trabajo total:

[tex]\frac{2}{3}xy^2-\frac{1}{3}xy^2+\frac{2}{3}x^2y+2x-5x\\\\=(\frac{2}{3}-\frac{1}{3})xy^2+\frac{2}{3}x^2y+(2-5)x\\\\=(\frac{1}{3})xy^2+\frac{2}{3}x^2y+(-3)x\\\\=\frac{1}{3}xy^2+\frac{2}{3}x^2y-3x[/tex]

Incluso podemos factorizar la respuesta final para obtener

[tex](\frac{1}{3}y^2+\frac{2}{3}xy-3)x[/tex]

Obtenga más información sobre la simplificación aquí: https://brainly.com/question/25014973

Answer:

Step-by-step explanation:

ratio of length to breadth=4:3

let breadth be x m

4/3=12/x(do cross multiplication)

3*12=x*4

36=4x

36/4=x

9=x

therefore breadth= 6m

Answer:

B

Step-by-step explanation:

i know this already from another

Answer:

1/2

Step-by-step explanation:

Answer:

98?

Step-by-step explanation:

Answer:

42+106=x

148=x

Step-by-step explanation:

Answer:

D1 to D3: SF = 3 / 2. Equation = 9 / 6 = 3 / 2

D2 to D3: SF = 2. Equation = 9 / 4.5 = 18 / 9 = 2

D3 to D1: SF = 2 / 3. Equation = 6 / 9 = 2 / 3

Step-by-step explanation:

Let me just make sure.

The correct dot plot represents this data set is shown in figure C.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The data set is,

31, 35, 38, 31, 32, 38, 37, 39, 31, 35, 32, 38

Now, From data set;

31 is repeated by 3 times

32 is repeated by 2 times

35 is repeated by 2 times

37 is repeated by 1 times

38 is repeated by 3 times

Hence, The correct dot plot represents this data set is shown in figure C.

Learn more about the mathematical expression visit:

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Answer:

5 cups is greater then 32 fl oz

Step-by-step explanation:

First, we change fl oz to cups, for it is easier to do.

Next, when we change 32 fl oz, it is going to be

32 fl oz=4 cups

Last, it is obvious that 5 cups is greater than 32 fl oz.

32 fl oz< 5 cups

This is correct!

Please mark me brainliest and have a  nice day! :)

Answer:

I think it's 18

Step-by-step explanation:

because I'm looking at 12/8 to be a ratio, that means that the size of the bigger figure had decreased by 12/8 or 1.5

then I divided the 27 by 1.5 to get the area of the small one which was 18.

Answer:

Step-by-step explanation:

Answer:

≈ 0.52

Step-by-step explanation:

P( head ) = 2/3 , P( tail ) = 1/3

when a head is tossed ; Gambler A wins $1

when a tail is tossed : Gambler B wins $1

Determine the P( Gambler A wins the game ) if he starts with I dollars

Assuming I = $1

n = 5

p ( head ) = P( winning ) = 0.66

p( losing ) = 0.33

applying the conditional probability in Markov which is ;

Pₓ = pPₓ₊₁ + (1 - p) Pₓ₋₁

P( 1) = 0.66P₂ + 0.33P₀

resolving the above using with Markov probability

P( 1 ) = 0.51613

hence the probability of Gambler A winning the game if he starts with $1

≈ 0.52

Answer:

Don't know hahaahahahaahahah

Answer:

I FEEL! ITS SO ANNOYING. I just need help

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:Center =(-5,-7)

Step-by-step explanation:

Answer:72

Step-by-step explanation: greater than 50 ( 8x9=72 ) And 72 is a factor of 360, difference between my digits is 5 (72x5=360)

Answer:

use [tex]y^{2}[/tex]~[tex]mx_{1}[/tex]+b to answer your question

Step-by-step explanation:

Answer:

4.42

Step-by-step explanation:

5.2 x 10-3 multiplied by 850. I got it right on my assignment

The mass of the 850 nails is 442 x 10⁻² kilograms.

The mathematical operation of multiplication is arithmetic. Additionally, it involves repeating the same forms of statements.

Example: 2 + 3 signifies that 2 is multiplied by 3 or that 3 is multiplied by 2 times.

A carpenter bought 850 nails.

Each nail has a mass of 5.2 x 10-3 kg.

To find the total mass:

Use multiplication operation,

850 x 5.2 x 10⁻³

= 4420 x 10⁻³

= 442 x 10⁻²

Therefore, the mass is 442 x 10⁻² kilograms.

To learn more about the multiplication;

https://brainly.com/question/19634536

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Answer:

4 to 1

Step-by-step explanation:

The greatest common factor between 8 and 2 is 2. So 2 will go into 8, 4 times. And 2 will go into 2, 1 time. So simplified the equivalent ratio is 4:1.

Answer:

4

Hope that this helps!