The sum of the measures of the interior angles in a polygon is 540 degrees. How many sides does the polygon have?

Answers

Answer 1

Answer: Pentagon. It has 5 sides and the sum of interior angles is 540 degrees.

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mike and some of his friends went camping. they went on a nature hike and fund 25 different insects.mike found 15 of those insects .what is the ratio of insects mike found to th insects found by the group
Without graphing, classify each system of equations as independent, dependent, or inconsistent. Solve independent systems by graphing.1) 5 - y = 2x 6x - 15 = -3y2) 6y + 2x = 812y + 4x = 4
If the side lengths of a cube are 14 feet, what is the correct way to write the expression to represent the volume of the cube in exponential form
Expand and simplify the following expression:

Solve the following exponential equations 4^x=1024

Answers

$4^x=1024 \n\nx\neq 0\n \n4^x=4^5\n \nx=5$

$4^x=1024\n \n 2^(2x)=2^(10)\n \n 2x=10\n \n x=(10)/(2)\n \n \boxed{x=5}$

The sum of the squares of two positive integers is 394. If one integer is 2 less than the other and the larger integer is x. Find the integers.

Answers

larger is x
the other is called y
sum of squares is 394
x^2+y^2=394
one is 2 less that other
x>y so
y+2=x
subsitute y+2 for x

(y+2)^2+y^2=394
expand
y^2+4y+4+y^2=394
add like terms
2y^2+4y+4=394
divideboth sides by 2
y^2+2y+2=197
subtract 197 from both sides
y^2+2y-195=0
factor
(y+15)(y-13)=0
set each to zero
y+15=0
y=-15
impossible since it is stated that they are positive so get rid of this solution
y-13=0
y=13

find other
y+2=x
13+2=x
15=x

numbers are 13 and 15

In the data set below, what is the mean absolute deviation? 1, 4, 2, 8, 4, 8

Answers

Answer:

4.5

Step-by-step explanation:

1±4±2±8±4±8=27

27÷6=4.5

.William sold half of his comic book collection and then purchased 10 more . He now has 24 comic books period how many books did William begin with?

Answers

Answer:

28 books

Step-by-step explanation:

Let x represent the number of books .William owned before anything happens

x/2 + 10 = 24

2(x/2 + 10) = 2(24)

x + 20 = 48

x = 48 - 20

x = 28

Answer:

Step-by-step explanation

subtract 10 by 24.multiply 14 by 2 and there's your answer hope this helps

Atlas Chemical Company wanted to keep its recruiting costs for the position of Chief Chemist to less than $100,000. The company spent $15,500 on advertising and $32,700 on interviewing expenses. They will pay 8% commission on selling the selected individual's home. What is the maximum selling price that Atlas would pay 8% commission on and stay within budget?

Answers

647,500 is my answer :33

50 points! math help! will mark brainliestWhich equation represents a direct variation between x and y?

Select one:
A. y − 2= 3x
B. 2y −4x= 0
C. 2y +2 = 6x
D. 2x +3y = 8

Let y vary directly with x, and let the point (4, 8) satisfy the relationship between x and y. Which equation represents the relationship?

Answers

My answer is B.In my view it is correct

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A mouse population starts with 2,000 mice and grows at a rate of 5% per year. The number of mice after t years can be modeled by the equation, P(t)=2000(1.05)^t. What is the average rate of change in the number of mice between the second year and the fifth year, rounded to the nearest whole number?

What is the value in millions of dollars of a downtown office building that cost 12 million dollars to build 20 years ago and depreciated at 9% per year

-1 TIMES the ABSOLUTE VALUE of -24 = will give brainliest !!!!!

log6 (x+1)− log6 x =log6 29