HELP ASAP WITH THIS QUESTION.

The sum of the measures of the interior angles of a regular polygon, where the measure of an exterior angle is 15°, is 3960°.

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°.

https://brainly.com/question/33696197

#SPJ2

To find the remaining trigonometric ratios of θ given that csc θ = 2 and cos θ is positive, we calculate sin θ, cos θ, tan θ, cot θ, and sec θ.

To find the remaining trigonometric ratios of θ, we are given that csc θ = 2 and cos θ is positive. Based on this information, we can determine the values of the other trigonometric ratios.

The reciprocal of sin θ is csc θ, so we can find sin θ by taking the reciprocal of 2. Therefore, sin θ = 1/2.

Since cos θ is positive and sin θ is positive (since 1/2 is positive), we know that θ is in the first quadrant. In the first quadrant, all the trigonometric ratios are positive. Therefore, cos θ = √(1 - sin²θ) = √(1 - (1/2)²) = √(1 - 1/4) = √(3/4) = √3/2.

Finally, we can find the remaining trigonometric ratios:

https://brainly.com/question/31675053

#SPJ2

x + y =39

x = y+7

y+7 +y = 39

2y +7 = 39

2y =32

y = 32/2 = 16

x = 16+7 = 23

The pattern is as follows:

                 125     119     113    107    101   95

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.

                     125-6=119

                     119-6=113

                     113-6=107

                      107-6=101

                         101-6=95

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.

Answer:

(200-30) + 70 =240

Step-by-step explanation:

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]

The ways that can be used to illustrate the measurement will be:

It should be noted that the measurements that one can make with the 10-oz and 6-ov glasses include measuring cups of water, etc.

It is important to have some visual aids as a reference for the correct amount. It is important to clearly see the amount being poured as the fluid is slowly poured into the vessel.

In mathematics, the conjecture is a conclusion or a proposition which is proffered on a tentative basis without proof.

In conclusion, use an object as a reference point, choose an appropriate vessel to pour your liquid into, and then place the vessel on a flat surface and bring yourself down to eye level.

Learn more about measurement on:

https://brainly.com/question/24842282

#SPJ1

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  

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:

Therefore, the dealer's cost of the refrigerator is $467.20.

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.

Answer:3 and 1/4 is the answer

Step-by-step explanation:

Answer: She Will Need 160 Inches Of Wire.

Step-by-step explanation: 20x8=160

Explaining how to determine the number of seats in each section based on seat pricing and total revenue.

Analyzing seat pricing and revenue:

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: