18. The sum of the measures of the interior angles of a convex polygon is ten times the sum of the measures of its exterior
angles. Find the number of sides of the polygon.

Answers

Answer 1

Answer:

22

Step-by-step explanation:

Let the number of sides ne n

Sum of interior angles:

180(n - 2)

Sum of exterior angles:

360

We have equation below to solve for n:

180(n - 2) = 10*360n - 2 = 20n = 22

Related Questions

3. What is the graph that represents y = x-3

Answers

Answer:

Option C

Step-by-step explanation:

-3 is the y intercept so the graph should intersect at -3 on the y axis.

x is positive so the graph should point up.

Answer:

Option C

Step-by-step explanation:

By looking at the equation y = x - 3 we can see that the slope is positive (so the line will have an upward trend) and that the y intercept is - 3 (which mean the line will go through the y axis in that point. So now we have two following statement....

line has an upward trendline has the y intercept of (0,-3)

The only line following this statements is line C.

How do we find the area of a rectangle ?

Answers

Answer:

Length multiplied by the width

Step-by-step explanation:

Answer:

To find the area of a rectangle, we multiply the length of the rectangle by the width of the rectangle.

Tickets to a school dance cost $5. Ninety tickets have already been sold. How many more tickets x must be sold to earn at least $700? Write your answer as an inequality.

Answers

Step-by-step explanation:

5x90=450

700-450=250

250/5=50

50 more tickets.

i don't know if that's in an inequality form or not. but that's how many tickets

PLZ HELP DUE SOON!!!!

Answers

Answer:

Domain → (-∞, ∞) Or set of all real numbers

Range → (3, ∞) Or y > 3

Step-by-step explanation:

f(x) = (0.25)ˣ + 3

By using graphing tool find the graph of the given function.

Given exponential function is defined for all x-values and domain is a set of x-values (input values) of the function.

Domain of the function → (-∞, ∞) Or set of all real numbers

Range of a function is a set of y-values (output values)

Range of the given function → (3, ∞) Or y > 3

Divide. Express each answer as a decimal. 5÷4 4÷5 30÷12 12÷30

Answers

Answer:

5÷4 = 1.25

4÷5 = 0.8

30÷12 = 2.5

12÷30= 0.4

Answer:

5÷4 = 1.25

4÷5 = 0.8

30÷12 = 2.5

12÷30= 0.4

Step-by-step explanation:

The price of an iPod is reduced in a sale from £200 to £145. The price of the iPod is further decreased by 22% two months later. Find the new price.

Answers

Answer:

£113.1

Step-by-step explanation:

The price of an iPod is reduced in a sale from £200 to £145.

The price of the iPod is further decreased by 22% two months later. Find the new price.

The above question is solved below:

We are to find the new price.

The percentage decrease = 22%

Hence:

£ 145 × 22% = £31.9

The new price is:

£145 − £31.9 = £113.1

What is the measure of

Answers

Answer:

The measure of ∠G is 59°

Step-by-step explanation:

When two secants, intersect at a point outside a circle then the measure of the angle formed between them is one-half the positive difference of the measures of the intercepted arcs.

In the given figure

∵ GT is a secant that intersects the circle at points H and T

∵ GE is a secant that intersects the circle at points F and E

The intercepted arcs are HF and TE

∵ GT ∩ GE at G

∵ Point G is outside the circle

→ By using the rule above

m∠G = [tex]\frac{1}{2}[/tex] (m arc TE - m arc HF)

∵ m arc TE = 175°

∵ m arc HF = 57°

→ Substitute them in the rule above

∵ m∠G = [tex]\frac{1}{2}[/tex] (175 - 57) = [tex]\frac{1}{2}[/tex] (118)

m∠G = 59

The measure of ∠G is 59°

Karla's jewelry box is shaped like a rectangular prism. The bottom surface of the box has an area of 65 square inches. The height of the box is 12 inches. What is the volume, in cubic inches, of Karla's jewelry box? *

Answers

Answer:

780  cubic inches

Step-by-step explanation:

Step one:

Given data

The bottom surface of the box has an area of 65 square inches.

Already given an area and a height of 12 in

we proceed to find the volume by multiplying Area and height

Required

The volume of the box

Volume= Area* height

Step two:

Volume= 65*12

Volume = 780  cubic inches

How do I solve this guys or girls

Answers

Answer:

Naruto usamaki is the greatest hokagey in the leaf village

Step-by-step explanation:

I took the test on edge

how to find the trigonometric ratio

Answers

Answer:

tanZ° = 3/4

General Formulas and Concepts:

Trigonometry

[Right Triangles Only] tanθ = opposite over adjacent

Step-by-step explanation:

Step 1: Identify Variables

Angle θ = Z

Opposite Leg XY = 21

Adjacent Leg YZ = 28

Step 2: Find Trig Ratio

Substitute [tangent]:                    tanZ° = 21/28Simplify:                                        tanZ° = 3/4

PLEASE HELP AND QUICK WILL GIVE THANKS

Answers

Answer:

15.012

Step-by-step explanation:

tan(theta) = opposite/adjacent

tan65 = x/7

x = 7tan65

x = 15.012

hope this helped!

Answer is

15.012

Pls mark me brainless answer

answers for both boxes please ​

Answers

2x+4=4x-6
2x=10
x=5

2(5)+4=14
y=14

(5,14)
I hope this helps:)

Circle describe in your own words​

Answers

more info so i can answer

Five numbers are shown on the number line. 7.5% 7 5 0.75 0 0.5 5 The point representing 5/9 is located between which two numbers​

Answers

Answer: it’s G i had the same question on my test

Answer:

there is no G...........

someone pls help asap this is due tmrw !!

x - 3y = -12
2x + 3y = 3

Answers

Answer:

Step-by-step explanation:

to solve this system of equations we will add them

x-3y=-12

2x+3y=3 now +3y-3y=0

3x=-12+3

3x=-9

x=-3

plug in the first equation

-3-3y=-12

-3y=-12+3

-3y=-9

y=3

A school allots £3000 to spend on a trip to the theatre. Theatre tickets have a regular cost of £40 each and are on offer for 1 5 off. A train ticket for the day will cost £20 each. If 3 teachers and the maximum number of students attend, how much money will the school have left over?

Answers

Answer:

£36

Step-by-step explanation:

From the question, we are told that School allots £3000 to spend on a trip to the theatre. With regular cost of tickets of £40 each with offer for 1/5 off

Then the cost of each ticket with 1/5 off= (4/5×40)= £32

From the question, A train ticket for the day will cost £20 each.

Then total cost for each of it = £32+£20

=£52

To determine how much money that the school will have left over, If 3 teachers and the maximum number of students attend, can be expressed below by first calculating the number of students.

Let us denote the number of students as "x"

52(x+3)= < 3000

52x + 156 =< 3000

52x =< 3000 - 156

52x =< 2844

X =< 2844/52

s =< 54.69,

The max. Number of students is 54

Total number of people= Number of students + the 3 teachers

= 54+3= 57

Total cost for 57 people= (£52 × 57 people)= £2964

The amount of money the school will have as left over = (£3000 - £2964)

= £36

19. (9x - 4)(x-6)
21. (-5x + 6)(x + 5)
23. (x2 - 8)(x + 4)
25. (x2 + 10x)(x - 3)
Help please!!

Answers

:))))))))))))))))))))))

hiii please help i’ll give brainliest if
you give a correct answer and maybe explain thankss

Answers

Answer:

4:3

16:12

Step-by-step explanation:

Both of those numbers can be multiplied or divided to equal 8:6

Can someone please help me with this

Answers

180 = 96 + 2x + x + 12

180 = 96 + 3x + 12

180 = 108 + 3x

-108  -108

72   =  3x

/3       /3

24 = x

the answer is x=24 to the problem

The m∠4 = 5x - 3° and m∠5 = 3x + 17°. Find the value of x.

Answers

Answer:

why

Step-by-step explanation:

A marching band sold 350 tins of popcorn for $8 each. Each tin cost the
band $4. How much money did the band make?
$ 1.400
$700
$350
$4.200

Answers

Answer:

The band made $1,400

Step-by-step explanation:

8-4=4

350*4=1,400

The answer is 1,400$

What is the slope of the line that contains the points (-4, 2) and (6, -3)?

Answers

Answer:

-1/2 or [tex]-\frac{1}{2}[/tex]

Step-by-step explanation:

to find the slope, use the formula

(y₁ - y₂)/(x₁ - x₂)

(2 - -3)/(-4 - 6)

(2 + 3)/(- 4 - 6)

5/-10

1/-2

-1/2

Jerry has a garden that has a length of 30 feet and a width of 10 feet. Fertilizer is on sale for $2 per bottle. If each bottle covers 25 square feet, how much will it cost to fertilize the whole garden?

Answers

Answer:  $50

Step-by-step explanation:

30 × 10 = 40 ft²  [garden area]

40 ÷ 25 = 1.6

1.6 ≈ 2

For the area of the entire garden, you need to buy two bottles of fertilizer.

25 × 2 = 50        [fertilization cost for the whole garden]

Solve for v.
19v – 18 = 16 + 17v

Answers

Answer:

v= 17

Step-by-step explanation:

Start with the given equation.

19v – 18 = 16 + 17v

Move -18 to the other side, and swap it's sign.

19v = 16 + 18 + 17v

Move 17v to the other side and swap it's sign.

19v - 17v = 16 + 18

Combine like terms.

2v = 34

Divide by 2v.

v = 17

Answer:

v = 17

Step-by-step explanation:

Given

19v - 18 = 16 + 17v ( subtract 17v from both sides )

2v - 18 = 16 ( add 18 to both sides )

2v = 34 ( divide both sides by 2 )

v = 17

Marcie likes to collect stickers, but she also likes to give them away. Currently, Marcie has 87 stickers in her collection. If Marcie collects 5 new stickers each week and gives away 3 stickers each week, how many stickers will Marcie have in her collection after 5 weeks?

Answers

Answer: 97 stickers

Step-by-step explanation:

Marie has 87 stickers in her collection.

Each week she collects 5 and gives away 3.

The total number of stickers she gains per week is therefore:

= 5 - 3

= 2 stickers per week

In 5 weeks therefore, she would have collected:

= 2 * 5

= 10 stickers

Add that to the original number:

= 87 + 10

= 97 stickers

what is the slope for the equation 5x-2y=18

Answers

Answer:

slope:5/2

y-intercept:-9

Step-by-step explanation:

Answer:

2.5

Step-by-step explanation:

First, we need to change the equation into slope-intercept form.

5x-2y=18     Isolate the y by subtracting 5x on both sides.

-5x     -5x

-2y=-5x+18  Divide both sides by -2.

/-2   /-2

y=2.5x-9

The slope is the number next to x, so the slope is 2.5.

Hope this helps! Have a great day C:

−7×7+9× −1/−1 = ?
evaluate?

Answers

Answer:

-40

Step-by-step explanation:

-7 x 7 + 9 x (-1) / (-1)

-49 + 9 x (-1) / (-1)

-49 - 9 / (-1)

-49 + 9

= -40

helpppppp i took a pic because just in case yall don't understand ​

Answers

Answer:

last one

Step-by-step explanation:

the last one because it cannot be expressed as a fraction.

Match the equation with the graph.

Graph E
Graph F
Graph G
Graph H

Answers

Answer:

Graph E: Y= -1/3x +3

Grpah F: Y= 1/2x

Graph G: Y= x-3

Graph H: Y= -x

Step-by-step explanation:

x-2y = 12
15x + 3y = -44
Elemination

Answers

Answer:

x - 2y = 12--------------eq(1)15x + 3y =-44--------------eq(2)multiply the 1st equation by 15  therefore we get a new equation..and we mark it as 3rd eq15x - 30y = 180-------eq(3)15x + 3y =-44--------------eq(2)now you can see (x) term in both the equations are the same...sothere is a law in elimination methodif the terms are equal we subtract the rest without the equaled termif the terms are different we add the rest without the different term

so here term are equal so we subtracteq(3)-eq(2)-30y -3y = 180 -(-44)-33y = 224y = -224/33then let's get the answer for (x) term by substitute the answer we got for y to any of the above equation without our new equation (3)x - 2y = 12--------------eq(1)x - 2 (-224/33) = 12x = -52/33answers x = -52/33y = -224/33
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