The measure of an exterior angle of a regular polygon is 15°. What is the sum of the measures of the interior angles of the polygon?
The sum of the measures of the interior angles of a regular polygon, where the measure of an exterior angle is 15°, is 3960°.
Explanation:To answer your question about the sum of the measures of the interior angles of the regular polygon, we can use the formula for computing the sum of the measures of the interior angles of a regular polygon, which is (n-2) * 180 degrees, where 'n' is the number of sides in the polygon.
In a regular polygon, the measure of each exterior angle is equal to the total of 360° divided by the number of sides. Given that the measure of the exterior angle is 15°, we can find 'n' using the equation 360°/n = 15°, which gives us n=24.
Substituting n=24 in the formula for computing the sum of the interior angles, we get (24-2)*180 = 22*180 = 3960°. Hence, the sum of the measures of the interior angles of the polygon is 3960°.
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Tina wants to use rope to decorate a rectangular picture frame. The frame measure 13 inches wide and 23 inches tall. Tina has 7 feet of rope. Does she have enough rope to go around its perimeter of the frame? Explain. Remember, 1 foot = 12 inches.
Tina has 7 feet of rope and the perimeter is __ feet. So, Tina ____ (Does not, Does) have enough rope.
how do you write 10 less than half a number as 27 as an equation
Let
x--------> the number
we know that
The expression is equal to
[tex]\frac{x}{2} -10=27\\ \\\frac{x}{2}=27+10\\ \\\frac{x}{2}=37\\ \\x=74[/tex]
therefore
the answer is
[tex]\frac{x}{2} -10=27[/tex]
Please help me fast pleaseeeee
You would like to make orange juice for the Queen of Canada but her tastes are very particular. She requires 400mL of orange juice, but it has to be the correct concentration, which is 23% concentrate. You have some 250mL cans of Windsor Delight OJ concentrate, which asks for 3 cans of water to every can of concentrate. You also have 250mL cans of Budget Brit OJ concentrate, which requires 4 cans of water for every can of concentrate. How much Windsor Delight mixture, and how much Budget Brit mixture will go into every 400mL of Her Majesty's Royal
To create 400mL of orange juice with a 23% concentrate for the Queen of Canada, use a specific combination of Windsor Delight and Budget Brit OJ concentrates.
To make 400mL of orange juice with a 23% concentrate for the Queen of Canada:
Use 200mL of Windsor Delight OJ concentrate (which needs 3 cans of water per can).Use 200mL of Budget Brit OJ concentrate (which requires 4 cans of water per can).This combination meets the required concentration of 23% for the 400mL of orange juice.Lines a and b are parallel.
What is the measure of angle m?
m = ?
An amphitheater charges $75 for each seat in Section A, $55 for each seat in Section B, and $30 for each lawn seat. There are three times as many seats in Section B as in Section A. The revenue from selling all 23,000 seats is $870,000. How many seats are in each section of the amphitheater?
Explaining how to determine the number of seats in each section based on seat pricing and total revenue.
Explanation:Analyzing seat pricing and revenue:
Let the number of seats in Section A be x.Then, the number of seats in Section B is 3x.Set up equations based on the given information and total revenue to find the number of seats in each section.when jackson works more than 40 hours in a week , he earns 1.5 times his normal hourly rate for each of the extra hours. jackson worked 43 hours one week. what was his total pay before deductions? justify your answer.
Final answer:
To determine Jackson's total pay before deductions, we calculate his regular pay for 40 hours and his pay for the extra hours he worked.
Explanation:
To calculate Jackson's total pay before deductions, we need to determine his regular hourly rate and the number of extra hours he worked.
First, we need to calculate Jackson's regular pay for 40 hours. Let's say his regular hourly rate is $10. So, his regular pay for 40 hours would be $10 x 40 = $400.
Next, we need to calculate his pay for the extra 3 hours he worked. Since he earns 1.5 times his normal hourly rate for each extra hour, his pay for 3 extra hours would be 3 x ($10 x 1.5) = $45.
Therefore, Jackson's total pay before deductions for the week would be $400 (regular pay for 40 hours) + $45 (extra pay for 3 hours) = $445.
How to rewrite 3x4-1+2
Why do you subtract exponents when dividing powers with the same base?
The table below shows the combination of a dry prepackaged mix and water to make concrete. The mix says for every 1 gallon of water stir 60 pounds of dry mix. We know that 1 gallon of water is equal to 8 pounds of water. Using the information, finish the table. NEED HELP ON FINISHING THE TABLE.
Dry mix lbs water lbs total lbs
________ _________ 14 1/6
________ _________ ________
sum of two numbers is 39. the greater number is 7 more than the smaller number. ( set up an equation )
x + y =39
x = y+7
y+7 +y = 39
2y +7 = 39
2y =32
y = 32/2 = 16
x = 16+7 = 23
360 km is 24% of blank km
PLEASE HELP FAST!!!!!!!!!!!!!!!!!
Tomas asked 15 students whether summer break should be longer. He used his calculator ti divide the number of students who said yes by the total number if students. His calculator showed the result as 0.9333......
a. Write this number as a fraction.
b.How many students said that summer break should be longer
PLEASE AWNSER THEM
Answer:
A: [tex]\frac{14}{15}[/tex]
B: 14
Step-by-step explanation:
Let the number of students who said that summer break should be longer be x.
Total number of students = 15
The result showed = 0.9333....
We can calculate this like :
[tex]\frac{x}{15}=0.93333.....[/tex]
This gives x = 14 approx
A:
So, in fraction form it can be written like = [tex]\frac{14}{15}[/tex]
B:
14 students said the summer break should be longer.
what are the answers??
the selling price for a refrigerator is 584 if the mark up is 25% of the dealers cost, what is the dealers cost of the refrigerator?
To calculate the dealer's cost of a refrigerator, you can use the selling price and the mark-up percentage by following a step-by-step process.
Mark Up Calculation:
Let the dealer's cost be x.Mark up = 0.25x.Selling price = Dealer's cost + Mark up = x + 0.25x = 1.25x = $584.Solve for x: 1.25x = 584, x = $467.20.Therefore, the dealer's cost of the refrigerator is $467.20.
What is the value of x? x+4/5=11 Enter your answer in the box in simplest form.
What is the successor of the number 2012
If Gabby wants to make an octagon with a side length of 20 inches using a wire how much wire does she need
Answer: She Will Need 160 Inches Of Wire.
Step-by-step explanation: 20x8=160
An angle has a measure of 47 degrees. Find the measure of its supplement
paul owes his father $10.75. he borrows $5.50 more from his father. what is paul's debt to his father
drew adds 1/2 cup of wheat flour and 2 3/4 cup of white flour to his muffin batter. how many cups of flourdoes drew add
A 1 1/4
B 2 2/3
C 3 1/4
D 3 3/4
Answer:3 and 1/4 is the answer
Step-by-step explanation:
The ratio of girls to boys in Liza’s classroom is 5
to 4
. How many girls are in her classroom if there is a total of 27
students?
Answer:
15 girls
Step-by-step explanation:
Let
x-----> the number of girls
y-----> the number of boys
we know that
-----> equation A
isolate the variable y
-----> equation B
Substitute equation B in equation A
you welcome
A full can fly at a speed of 22 miles per hour about how many feet per hour can the gull fly?
how can you use mental math to determine if a ratio is simplified
Angela is competing in a dance competition. If dance move is done correctly, the dancer earns points. If a dance move is done incorrectly the dancer loses points. Angela currently has 200 points. Angela then loses 30 points and earns 70 points. Write and evaluate an expression to find Angela’s final score
Answer:
(200-30) + 70 =240
Step-by-step explanation:
start at 125. create a pattern that subtracts 6 from each number. stop when you have 5 numbers.
The pattern is as follows:
125 119 113 107 101 95
Step-by-step explanation:We are asked to create a pattern such that each digit is 6 less than the previous digit of the pattern.
Now, we have to start with 125.
The next term will be:125-6=119
The next term of the pattern will be:119-6=113
The next term will be:113-6=107
The next term will be:107-6=101
The next will be:101-6=95
4. What is the equation of a line with a slope of 5 that passes through the point (4,2) ? Express this equation in all three forms: point-slope, slope-intercept, and standard.
Mr. and Mrs. Patton and their daughter Carolyn own three cars. Carolyn drives 10 miles per week farther with her car than her father does with his. Mr. Patton does twice as many miles per week as Mrs. Patton. If their total mileage per week is 160 miles, how many miles per week does each drive?
Answer: They drive 60 miles, 70 miles, 30 miles respectively.
Step-by-step explanation:
Since we have given that
Total mileage per week = 160 miles
Let the number of miles that her father does be x
Let the number of miles that she does be x+10
let the number of miles that her mother does be [tex]\dfrac{x}{2}[/tex]
so, our equation becomes,
[tex]x+x+10+\dfrac{x}{2}=160\\\\2x+\dfrac{x}2}=160-10\\\\\dfrac{4x+x}{2}=150\\\\\dfrac{5x}{2}=150\\\\x=\dfrac{150\times 2}{5}\\\\x=60\ miles[/tex]
So, her father drives 60 miles.
She drives 60 +10 = 70 miles.
Her mother drives [tex]\dfrac{60}{2}=30\ miles[/tex]
Hence, they drive 60 miles, 70 miles, 30 miles respectively.
What is the true statement