The sum of the measures of the interior angles of a 20-sided figure is 3240.
What are Interior angles ?
An interior angle of a polygon is an angle that is created between two of the polygon's adjacent sides. The interior angle of a polygon is also known as the angle measured at the interior of a polygon.
the number of sides of given polygon is 20.
we know that, sum of the measures of the interior angles can be found by using formula : (n-2) × 180
where n= no. of sides of given polygon
So, sum of the measures of the interior angles of 20 sided figure :
= (n-2) × 180
= (20-2) × 180
= 18 × 180
= 3240 .
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An equation is shown below: 4(x − 3) − 5(x + 1) = 3 Which statement shows a correct next step in solving the equation? (1 point) The equation can become 4x − 12 − 5x − 5 = 3 by applying the associative property of multiplication. The equation can become 4x − 3 − 5x + 1 = 3 by applying the associative property of multiplication. The equation can become 4x − 3 − 5x + 1 = 3 by applying the distributive property. The equation can become 4x − 12 − 5x − 5 = 3 by applying the distributive property.
Answer:
The equation can become 4x − 12 − 5x − 5 = 3 by applying the distributive property.
26 is 65% of what number?
Answer:
40
Step-by-step explanation:
26 is 65% of 40
PLS ANSWER QUICKLY AND PLS ANSWER CORRECTLY TEST WORTH 20 PERCENT OF MY GRADE
Answer:
b just tool the test
Step-by-step explanation:
can you please help me!!!! thank you
Answer:
V = J = 92
Step-by-step explanation:
The angles are the same on both shapes.
Choose the expression that best represents the product of the width and the height
Pls help (5th grade)
Answer: 4.523
Here is an image that might help you understand placements.
Answer:
rounded to the nearest thousandth would be 4.523
Emily can walk 3/4 of a mile in 1/4 of an hour.
At this same rate, how long does it take Emily to walk 1 mile?
Answer:
20 minutes
Step-by-step explanation:
Method 1:
(0.75)/(0.25)=(1)/(x)
0.75*1.333333=1, so multiply 0.25 by 1.333333 to find the value of x!
0.25*1.333333=0.33333, or one-third of an hour, or 20 minutes.
Method 2:
(0.75)/(0.25)=(1)/(x)
Cross-multiply
0.75x=0.25
(0.25)/(0.75)=x
x=0.33333 hours
Emily will use 20 minutes or 1/3 hour to walk 1 mile.
Note that 3/4 = 0.75
1/4 hour = 1/4 × 60 = 15 minutes
Let the amount of time that it takes Emily to walk 1 mile be represented by x.
Therefore, the equation to solve the question will be:
0.75 /1 = 15/x
Cross multiply
(0.75 × x) = (1 × 15)
0.75x = 15
x = 15/0.75
x = 20
Therefore, Emily will use 20 minutes or 1/3 hour to walk 1 mile.
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Answer:
4
Step-by-step explanation:
because
8÷2=4
16÷4=4
24÷6=4
32÷8=4
Find the median of 6,2,0,1,1,2,3,2,0,2,3,4,2,3,5
Answer:
2
Step-by-step explanation:
The median is the middle number when the numbers are lined up from least to greatest or greatest to least.
First, the numbers must be lined up from least to greatest.
0, 0, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 4, 5, 6
Then, find the middle number.
The middle number is 2.
Amelia receives two dozens roses for her birthday. 18 of the roses are pink what percent of the roses are pink
18/24 = pink roses... 75% of the roses are pink.
Please help me with this question!
use the distributive property to write the following expressions in expanded form 8(a+3b)
Answer:
8a + 24b
Step-by-step explanation:
'distributive' is just like sharing across
Answer:
8a + 20b + 4b
Step-by-step explanation:
Distributing it would be 8a+24b so expanding it would equal: 8a+20b+4b
I need help with this problem
Answer:
m<S: 54
m<U: 60
Step-by-step explanation:
x + 4 + x + 68 = 180
2x + 72 = 180
2x = 108
x = 54
<S:
x
54
<U:
x + 4
54 + 4
60
whoever gets this correct first gets brainlest !!!
Answer:
9.9
Step-by-step explanation:
The quadrilaterals are similar by a factor of 3.
Each peanut butter snack costs $2. Each chocolate snack costs $3. How much does it cost to buy 6 peanut butter snacks and 8 chocolate snacks? Write an equation.
Answer:
36
Step-by-step explanation:
8x3 is 24
6x2 is 12
when you add those together you get 36
Answer:
2 dollars x 6 Peanut butter snacks= 12 total
3 dollars x 8 chocolate= 24 total
24+12= 36 for the total all together
Step-by-step explanation:
You are buying 6 peanut butter snacks and they are $2 each so you multiply those numbers together for the total of Peanut butter snacks. You are also buying 8 things of chocolate and they are $3 each multiply them together you get the total for the chocolate. if you need the total for all together you add the totals together and you have your over all answer.
In a study of incentives used by companies to retain mature workers by The Conference Board, it was reported that 41% use flexible work arrangements. Suppose that of those companies that do not use flexible work arrangements, 30% give time off for volunteerism. In addition, suppose that of those companies that use flexible work arrangements, 50% give time off for volunteerism. If a company is randomly selected, determine the following probabilities:
a. The company uses flexible work arrangements or gives time off for volunteerism.
b. The company uses flexible work arrangements and does not give time off for volunteerism.
c. Given that the company does not give time off for volunteerism, the company uses flexible work arrangements.
d. The company does not use flexible work arrangements given that the company does give time off for volunteerism.
e. The company does not use flexible work arrangements or the company does not give time off for volunteerism.
Answer:
a) 0.587 = 58.7% probability that the company uses flexible work arrangements or gives time off for volunteerism.
b) 0.205 = 20.5% probability that the company uses flexible work arrangements and does not give time off for volunteerism.
c) 0.3317 = 33.17% probability that the company uses flexible work arrangements.
d) 0.4634 = 46.34% probability that the company does not use flexible work arrangements given that the company does give time off for volunteerism.
e) 0.795 = 79.5% probability that the company does not use flexible work arrangements or the company does not give time off for volunteerism.
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
a. The company uses flexible work arrangements or gives time off for volunteerism.
41% use flexible work arrangements.
Of the 100-41 = 59% that do not use flexible work arrangments, 30% give time off for volunteerism. So
[tex]p = 0.41 + 0.59*0.3 = 0.587[/tex]
0.587 = 58.7% probability that the company uses flexible work arrangements or gives time off for volunteerism.
b. The company uses flexible work arrangements and does not give time off for volunteerism.
41% use flexible work arrangements. Of those, 100 - 50 = 50% do not give time off for volunteerism. So
[tex]p = 0.41*0.5 = 0.205[/tex]
0.205 = 20.5% probability that the company uses flexible work arrangements and does not give time off for volunteerism.
c. Given that the company does not give time off for volunteerism, the company uses flexible work arrangements.
Here, we use conditional probability.
Event A: Does not give time off for volunteerism
Event B: Uses flexible work arrangments.
0.205 = 20.5% probability that the company uses flexible work arrangements and does not give time off for volunteerism.
This means that [tex]P(A \cap B) = 0.205[/tex]
Probability that the company does not give time off for volunteerism:
0.205(uses flexible work arrangments).
100 - 30 = 70% of 59%. So
[tex]P(A) = 0.205 + 0.7*0.59 = 0.618[/tex]
The desired probability is:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.205}{0.618} = 0.3317[/tex]
0.3317 = 33.17% probability that the company uses flexible work arrangements.
d. The company does not use flexible work arrangements given that the company does give time off for volunteerism.
Again conditional probability.
Event A: Gives time off for volunteerism
Event B: Does not use flexible work arrangements.
Probability of giving time off for volunteerism:
50% of 41%(have flexible work arrangements).
30% of 59%(don't have flexible work arrangements).
So
[tex]P(A) = 0.5*0.41 + 0.3*0.59 = 0.382[/tex]
Gives time off for volunteerism and does not use flexible work arrangements.
30% of 59%. So
[tex]P(A \cap B) = 0.3*0.59 = 0.177[/tex]
The desired probability is:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.177}{0.382} = 0.4634[/tex]
0.4634 = 46.34% probability that the company does not use flexible work arrangements given that the company does give time off for volunteerism.
e. The company does not use flexible work arrangements or the company does not give time off for volunteerism.
Does not use flexible work arrangments: 59%
Dont give time off for volunteerism(70% already in the 59%, so we dont add) and 50% of 41%.
[tex]p = 0.59 + 0.5*0.41 = 0.795[/tex]
0.795 = 79.5% probability that the company does not use flexible work arrangements or the company does not give time off for volunteerism.
PLease answer this for me !!
Answer:
X^7
Step-by-step explanation:
3+4=7
Goran needs to buy plastic forks. Brand A has a box of 12 forks for $1.12. Brand B has a box of 25 forks for $2.69.
Find the unit price for each brand. Then state which brand is the better buy based on the unit price.
Round your answers to the nearest cent.
How do you solve the following equation
: X/-3 + 2=4
Answer:
For this equation you be inverse operation giving you the answer -6
further information down below :)
Step-by-step explanation:
Your goal for this is to isolate the variable which is x.
First, find the operation opposite of addition which is subtraction
When you add that operation to both sides with the constant(2)
2 and 2 cancel each other out, but to the for the term(4) 4-2=2
after that you have your new term which is x/-3=2
You do the same thing but to in division because the opposite of multiplication is division in this case you multiply -3 to both sides -3*-3 cancel each other out, now you have-3*2= negative times a positive equal negative in anyway so, overall you get -6.
To check:
you do the full equation now that you have isolated the variable, you now can do the operations normally which are. -6/-3=2 because when you divide a negative by a negative you get a positive end out with 2+2=4 which is correct and match the sum.
This means that our answer is correct :)
Taco Bell had 60 orders. 60% were tacos and 40% were burritos. How many tacos is that?
Answer:
60% of 60 is 36. The answer should be 36
Step-by-step explanation:
60 / 100 * 60
0.6 * 60
36
Just divide the number by 100 and multiply it by the percentage.
Mark me as brainliest if you want to.
The slope of a line is 1/3.
What is the slope of a line perpendicular to this line?
Answer:
-3
Step-by-step explanation:
Slopes of a perpendicular line are the opposite reciprocal.
So, the opposite of 1/3 is -1/3.
Then the reciprocal of -1/3 is -3 (since -3 is -3/1).
Which expression is equivalent to 3y+4+y
Which of the following is true about the mass of an object? (10 points)
It is equal to its weight.
It is proportional to its weight.
It is always more than its weight.
It changes at different locations.
Step-by-step explanation:
The correct answer is
It is proportional to its weight.
Hope it will help :)❤
Step-by-step explanation:
mass is proportional to the weight of the object
w = mg
help me please. need it asap
Answer:
X=-1
Y=-8
hope this helps!
Step-by-step explanation:
Find the values of x and y. Write your answer in simplest form.
Answer:
x=30°
y=30°
Step-by-step explanation:
x= 180-150=30°
y)
180=30 + 90 + z
z +120 = 180
z= 60
90-60=y
y=30
30°
A square is 5 inches on each side. A small square, x inches on each side, is cut out from each corner of the original square. Represent the area of the remaining portion of the square in the form of a polynomial function A(x).
Answer:
A(x)= (5×5)-[4(x×x)]Hope this helps!
PLEASE HELP
If Joey can run 24 miles in 6 hours, how many miles
can he run in 2 hours? SHOW YOUR WORK! (Hint:
Use equivalent ratios/fracción
Answer:
8 miles
Step-by-step explanation:
24 miles/6 hours = 4 miles per hour
4 miles per hour x 2 hours = 8 miles
Answer:
8 miles
Step-by-step explanation:
24/6 is your ratio. He runs 4 miles an hour, but we need 2 hours. 4x2=8 miles in 2 hours.
plz help, Randy is fencing off a semi-circular region in his backyard against a wall. The semi-circular region has a diameter of 24 feet. The fencing will go along the arc only. How much fencing does Randy need?
Answer:
[tex]Fence = 41.408ft[/tex]
Step-by-step explanation:
Given
[tex]d = 24ft[/tex]
Required
Determine the length of the wall
First, we calculate the circumference (C) of the semi-circle
[tex]C =\pi d[/tex]
[tex]C = 3.142 * 24[/tex]
[tex]C = 75.408[/tex]
The length of the fence is calculated by subtracting the diameter from the circumference:
[tex]Fence = C - d[/tex]
[tex]Fence = 75.408ft - 24ft[/tex]
[tex]Fence = 41.408ft[/tex]
Does anybody know what measures a, b, and c would be?
Answer: A = 28 B = 47 C = 105 in degrees
Step-by-step explanation:
OKAY JUST A DISCLAIMER:
I did Geometry last year and the concepts are basically gone but I think I remember how to do this one
So I think one of the theorems stated that the inner angle is half of the outer arc.
So.. angle a would be 56/2 = 28
Angle b would be 94/2 = 47
Angle C is a vertical angle to the angle in the triangle, so it would be 180-47-28=105
I NEED HELP NOW PLZZ!!
Answer:
option C is the correct option!!