Shown is a pentagon, with the size of
each angle shown. Work out the largest angle.

Shown Is A Pentagon, With The Size Ofeach Angle Shown. Work Out The Largest Angle.

Answers

Answer 1

Answer:

160°

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n = 5 , then

sum = 180° × 3 = 540°

sum the interior angles and equate to 540

x + 10 + 2x + 10 + x + 10 + 2x+ x + 20 = 540 , that is

7x + 50 = 540 ( subtract 50 from both sides )

7x = 490 ( divide both sides by 7 )

x = 70

Then

largest angle = 2x + 10 = 2(70) + 10 = 140 + 10 = 150°

Answer 2

The solution is  : the largest angle is 150°.

What is the polygon?

A polygon is a two-dimensional geometric figure that has a finite number of sides. The sides of a polygon are made of straight line segments connected to each other end to end. Thus, the line segments of a polygon are called sides or edges.

here, we have,

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n = 5 , then

sum = 180° × 3 = 540°

sum the interior angles and equate to 540

x + 10 + 2x + 10 + x + 10 + 2x+ x + 20 = 540 , that is

7x + 50 = 540 ( subtract 50 from both sides )

7x = 490 ( divide both sides by 7 )

x = 70

Then

largest angle = 2x + 10

                      = 2(70) + 10

                      = 140 + 10

                      = 150°

Hence, The solution is  : the largest angle is 150°.

To learn more on polygon click:

brainly.com/question/24464711

#SPJ2


Related Questions

2) 13 years back my mother age was thrice my age and 2 years back she was twice my age then find a) The present age of my mother b) my present age​

Answers

Answer:

age of the Father is 46 and age of the son is 24

Step-by-step explanation:

13 years ago x was thrice y's age, or

(x - 13) = 3(y - 13); or

x - 3y = -26

2 years ago, x was twice y's age, or

(x - 2) = 2 (y - 2); or

x - 2y = -2

Subtracting equation 1 from 2:

x - 2y - (x - 3y) = -2 - (-26)

or y = 24

A waitress kept track of whether her customers ordered an appetizer and
dessert. Her data are shown in a relative frequency table.
Appetizer
Total
No appetizer
0.3
Dessert
0.1
0.4
No dessert
0.2
0.4
0.6
Total
0.3
0.7
1.0
What does the 0.1 in the highlighted cell mean?
A. 10% of her customers ordered dessert.
B. 10% of the customers who ordered an appetizer ordered dessert.
C. 10% of her customers ordered an appetizer and dessert.
D. 10% of her customers ordered an appetizer.

Answers

According to the two-way table, the correct option is:

10% of her customers ordered an appetizer and dessert.

From the table, it is taken that:

0.1 = 10% of the customers ordered both an appetizer and a dessert.0.3 = 30% of the customers ordered a dessert but not an appetizer.0.4 = 40% of the customers ordered a dessert.0.2 = 20% of the customers ordered an appetizer but not a dessert.0.4 = 40% of the customers ordered neither a dessert nor an appetizer.0.6 = 60% of the customers did not order a dessert.0.3 = 30% of the customers ordered an appetizer.0.7 = 70% of the customers did not order an appetizer.The total is of 100%.

Hence, the highlighted 0.1 = 10% means that:

10% of her customers ordered an appetizer and dessert.

You can learn more about two-way tables at https://brainly.com/question/24670062

hlep me it is easy plssssssssssssss

Answers

Answer:

C. (10 - 2) ÷ 4

Step-by-step explanation:

To determine which expression represent a number that is one fourth as great as 10-2 the following logical reasoning has to be made:

Given that a number is raised that is a quarter as large as (10-2), the result of this mathematical operation must be divided by 4.

Thus, since 10 minus 2 is equal to 8 and 8 divided by 4 gives 2, the division is necessary as a mathematical operation.

So, since the only option that raises a division is option C, that's the correct option.

help plsssssssssssssss

Answers

Answer:step 2

Step-by-step explanation:

solve using system of equations by using elimination method for -5x+4y=2 ; 9x-4y=6

Answers

Answer:

y = 3

x = 2

Step-by-step explanation:

-5x + 4y = 2

9x - 4y = 6

Sum both eq.

-5x + 9x = 4x

+4y - 4y = 0

2 + 6 = 8

then:

4x + 0 = 8

4x = 8

x = 8/4

x = 2

from the first eq.

-5x + 4y = 2

-5*2 + 4y = 2

-10 + 4y = 2

4y = 2 + 10

4y = 12

y = 12/4

y = 3

Check:

from the second eq.

9x - 4y = 6

9*2 - 4*3 = 6

18 - 12 = 6

Save You More offers a buy one/get one free item each week. Customers who purchase only one of the items must pay the regular
price. The limit is one deal per customer. Is the relation (# sale items purchased, price) a function? Why or why not?

A)
B
It is a function because the input can be either 1 or 2 items, but the output
will always be the same price.
It is not a function because the input can be either 1 or 2 items, but the
output will always be the same price.
It is a function because the input will always be the same price, but the
output can be either one or two items.
D
It is not a function because the input will always be the same price, but the
output can be either one or two items.

Answers

Answer:

It is a function because the input can be either 1 or 2 items, but the output

will always be the same price.

Step-by-step explanation:

Answer:

A. It is a function because the input can be either 1 or 2 items, but the output

will always be the same price.

Step by Step Explanation :

A function is for every single input but the output is always the same. So, let's make a scenario. If someone bought ' 1 ' then paid the marked cost and if you bought 2 then paid the marked cost BUT with " One Buy One Free. " So, it is in fact a function.

solve for y and x
2+3x-1=4y
And
2x-3=y

Answers

Answer:

x = 2.6, y = 2.2

Step-by-step explanation:

if 4y = 2 + 3x - 1 and

y = 2x - 3,

4y = 2 + 3x -1 and 4y = 8x - 12 so

8x - 12 = 2 + 3x - 1

so 5x - 12 = 1,

5x = 13,

x = 2.6

If x = 2.6,

y = 5.6 - 3

so y = 2.2

Please mark me as Brainliest!

Help help again ..2 more :/ thank you again ..

Answers

8^2 + 12 - 2(8)
64 + 12 - 16
76 - 16
60
so your answer would be 60

According to his running log, Baldwin averaged 4 miles per week last month and 25% more this month. How much did he average this month?

Answers

4(1.25) = if it’s only one month then it’s 5 miles

Answer:

4(1.25) = if it’s only one month then it’s 5 miles

Step-by-step explanation:

Please mark brainliest

the area of a rectangle and square are same . if area of the square is 900 cm² and length of the rectangle is 45cm find the perimeter of the rectangle.​

Answers

Answer: 130cm

Let's think the width of the rectangle as, "x"

45*x= 900

x= 900/45

x= 20

45+45+20+20

= 130cm

Choose the symbol that correctly compares the fractions below.

Answers

Answer:

[tex] \frac{2}{5} > \frac{1}{6} [/tex]

Answer: B. >

#CarryOnLearning

1) 0.52 + 1.6 + 8.26 =
2) 1.4 + 5.98 + 9 + 0.39 =
3) 4.45 + 7 + 0.049 =
4) 12.54 – 1. 054 =
5) 0. 685 – 0. 5903 =
6) (34. 89) (0.875) =
7) (840) (0.625) =
8) 28.5 ÷ 0.87 =
9) 104 ÷ 6.4 =

Answers

Step-by-step explanation:

1 10.38

2 16.77

3 11.499

4 11.486

5 0.0947

6 30.52875

7 525

8 32.57862069

9 16.5625

2. Ramona spent 20 minutes on homework on Monday, 20 minutes on Tuesday,
40 minutes on Wednesday, 30 minutes on Thursday, and 0 minutes on Friday.
What is the mean number of minutes she spent on homework?

Answers

Answer:

Ramona spent 110 minutes on homework

Step-by-step explanation:

You want to add up all the minutes spent on homework altogether.

20 +20 = 40

40 + 40 = 80

80 + 30 = 110

110 + 0 = 110

So, Ramona spent a total of 110 minutes on homework. Hope this helps!

100 points will award brainliest crown
Draw the image of EFG under the dilation with scale factor 3/2 and center of dilation (0, 0). Label the image E' F' G'

Answers

Answer:

Should be 3 units away from the picture

Step-by-step explanation:

I hope this helps! ;)

The coordinates of the image of EFG under the dilation with scale factor 3/2 and center of dilation (0, 0) are E(-3,3), F'(-3,-3) and G'(3,-3).

What is the dilation of the figure?

Dilation of a figure, means the transformation of the figure. The factor by which the given figure dilated, called the scale factor of dilation.

The image of EFG under the dilation with scale factor and center of dilation has to be drawn.

The value of scale factor of dilation is 3/2.The center of dilation is at (0, 0).

The coordinates or the triangle are E(-2,2), F(-2,-2) and G(2,-2). The new points after the dilation are,

[tex]E'(-2\times\dfrac{3}{2},2\times\dfrac{3}{2})=E'(-3,3)\\F'(-2\times\dfrac{3}{2},-2\times\dfrac{3}{2})=F'(-3,-3)\\G'(2\times\dfrac{3}{2},-2\times\dfrac{3}{2})=G'(3,-3)[/tex]

The dilated image of triangle EFG is attached below.

Thus, the coordinates of the image of EFG under the dilation with scale factor 3/2 and center of dilation (0, 0) are E(-3,3), F'(-3,-3) and G'(3,-3).

Learn more about the dilation of the figure here;

https://brainly.com/question/3457976

#SPJ2

PLS HELP ME WITH GEOMETRY :0000

Answers

Answer:

GM = 18

Step-by-step explanation:

HJK is congruent to HKL (RHS congruency)

so, JK = KL

JK = 2

GHJ is congruent to MHL (SAS congruency)

so, GJ = LM

LM = 7

GM = 7 + 2 + 2 + 7 = 18

Factorise fully 2x2 – 8x

Answers

[tex]2x^2-8x=2x(x-4)[/tex]

Answer:

2x ( x - 4)

Hope that helps?

Directions: Compare the sides and angles by filling in the blank with a < or > symbol.

Answers

Answer:

Number 21 is < number 23 is > number 22 is < and number 24 is >

Step-by-step explanation:

5c + 7c simplify fytdtdecxsts

Answers

Answer:

12c

Step-by-step explanation:

Note that when simplifying through adding or subtracting, the terms must have the same amount of the same variables to combine them.

In this case, all given terms have the same variable, denoted by c. Combine the given coefficients:

5c + 7c = 12c

12c is your answer.

~

Which graph could potentially have a correlation coeffiecient (r value) of 0.95?

Answers

Answer:

C,

Step-by-step explanation:

A and D is incorrect because they are negative correlation

and B is incorrect because a correction of 0.95 means all values are close to each other, but B values are scattered much more that C values

so answer C

Q.

5! = ?

________________

Example :
4! = 4 × 3 × 2 × 1 = 24​

Answers

Answer:

5!=5*4*3*2*1=120

Step-by-step explanation:

n!=(n)(n-1)(n-2)...(3)(2)(1)

~Factorial

5!=5×4×3×2×1

=20×3×2×1

=60×2×1

=120×1

=120

A cafeteria sells 30 drinks every 15 minutes. How many drinks can be sold in one hour?

Answers

Answer:30 drinks

Step-by-step explanation:

3. Which of the following is a rational
number that is not an integer?
A-2
C 0
B -0.5
D 4

Answers

Step-by-step explanation:

-0.5 cause decimals and fraction are not included

Find the following:

sin A
cos A
tan A
cot A
sec A
csc A

Answers

Step-by-step explanation:

we use the law of sine :

sin(A)/a = sin(B)/b = sin(C)/c

with the related angles being opposite of the lines.

so, we have

sin(A)/1 = sin(A) = sin(90)/ sqrt(10) = 1/ sqrt(10) =

= 0.316227766...

cos²(A) + sin²(A) = 1

cos(A) = sqrt(1 - sin²(A)) = sqrt(1 - 0.1)) = sqrt(0.9) =

= 0.948683298...

tan(A) = sin(A)/cos(A) = 0.333333333...

cot(A) = 1/tan(A) = 3

sec(A) = 1/cos(A) = 1.054092553...

csc(A) = 1/sin(A) = 3.16227766...

The students at Vienna Elementary sold donuts every day at school for 6 months. The table below shows the earnings for the first 6 weeks. If the pattern continues, how much will the students make in week 8?

Pics here

Answers

$100 because it goes 110,100,90,110,100,90

The student made $100 in week 8.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Amount earned from the first week to 6 weeks.

110, 100, 90, 110, 100, 90

We see that,

Every 3 weeks the amount gets repeated.

So,

7th week = 110

8th week = 100

Thus,

The amount earned in week 8 is $100.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

2x-y=3
X+y=3
Slove equations algebraially

Answers

These are simultaneous equations

Add the two equations together and get

3x = 6

x = 2

2 + y = 3

y = 1

9 X 19 + 2 X 57 - 75 = n

Answers

Answer:

210

Step-by-step explanation:

juss a fact

Answer:

210

Step-by-step explanation:

First you do 19 times 9 which is 171. Then you do 57 times 2 which is 114. Then you add 171 to 114 which gives you 285. Then you subtract 75 from it and that gives you 210

6 lb = how many oz .​

Answers

Answer:

96 oz

Step-by-step explanation:

1 lb= 16 oz

so, 16×6=96

⦁ Solve for x: 3|x – 7| = 15
SHOW WORK

Answers

[tex]3|x-7| = 15\\\\\implies |x-7| =\dfrac{15}3\\\\\implies |x -7| = 5\\\\\implies x -7 = 5 ~~ \text{or}~ x - 7 = -5\\\\\implies x = 12 ~~\text{or}~~ x = 2[/tex]

Ez way to do it use distribution 3x-21=15 add 21 to 15 =36
3x=36 divided by 3 both side x=12 x=2

What is 0.459 roused to the nearest hundredth

Answers

Answer:

0.459

the 9 rounds the 5 up to a 6 so its 0.46

Answer:

The answer is 0.46

Step-by-step explanation:

The 9 is over 5, so you round up which bumps the 5 up to a 6. It could also be written as 0.460 but the extra 0 is unnecessary.

what word phrase can you use to represent the algebraic expression 6x+6

Answers

Answer:

the word phrase use to represent 6x+ 6 is sum 6x and 6

Step-by-step explanation:

first you sum 6x and 6

Other Questions
What will a soccer player need to do to change a balls position?1. He must apply gravity to the ball so that the ball will move.2. He must weigh the ball to determine the motion that needs to occur.3. He must set the ball in motion by applying a force in the desired direction.4. He must identify the location of the ball.First one to answer will get brainliest! arts stream padhne se aacha to python ya java ki book pdf download kar lo usse padh lo in the early twentieth century, what two experiments involving light and matter could not be explained by the wave theory of light? Solve for x please help me write an email to your brother about my country my pride Does favorite food depend on your gender? A survey asks a group of college students about their favorite foods. It also groups the students by their gender. The data are recorded in the contingency table below, and a chi-square Test of Independence at the 5% significance level is performed. Sushi Pizza Hamburgers Row Total Men 19 16 21 56Women 19 11 13 43Column Total 38 27 34 99The null and alternative hypotheses are:H0: The two variables are independent, so gender does not affect favorite food.Ha: The two variables are dependent, so gender does affect favorite food.Compute the test statistic, rounded to one decimal place. Which expression is equivalent to 2-5?A 1/5 x 1/5B (-5)(-5)C1/2x1/2x 1/2 x 1/2D (-2)(-2)(-2)(-2)(-2) according to us law a company has an illegal monopoly how are mass, distance and gpe related Cellular respiration is an examole of.A. Catabolic pathwayAnabolic pathway. Extracellular activityD. Thermodynamics PLEASE SHOW ALL WORK AND DO CORRECTLY For #8 , fill in the missing information for the following trapezoids. SHOW YOUR WORK to solve for the missing value.8.height = 19.8 cmb1 = ________b2 = 14.4 cmarea = 401.94 cm2 What is beneath the Christmas Present's robe? Explain what ignorance and want are symbols of in a christmas carol stave 3. 3 1/3 of it is 10I need help! Carbon-14 emits beta radiation and decays with a half life of 5730 years. Assume you start with 2.5x10^15 grams of Carbon-14, how many grams remain atthe end of 5 half lives?A. 1.1x10^-10 gB. 2.5x10^-10 gC 1.3x10^-10 gD. 5.0x10^-10 g 1 I want (visit) Debre Damo. "Five score years ago, a great American, in whose symbolic shadow we stand today, signed the Emancipation Proclamation."a.Allusionb.Metaphorc.Similed.Personification Find the product of 6b(2 over 3b).20 over 3b4b23 over 3 b24b2 Why is it that cancer does not form every time there is a mistake during the cell cycle? #13) Mrs. Frye says that the following triangles are congruent. Is she correct? Why or why not? What factors led to Viking raids on other countries?