MATHEMATICS HIGH SCHOOL

What is the sum of all measures of the interior angles of a regular three-sided polygon?a. 100°
b. 150°
c. 180°
d. 360°

Answers

Answer 1
Answer: The sum of the interior angles of a polygon is:

180(n-2)

Where n is the number of sides. Therefore

180(1)
=180

So the interior angles add up to 180 degrees in a triangle.
Answer 2
Answer: The sum of the three angles inside a 3-sided polygon...
commonly referred to as a "triangle" ... is 180 degrees. 

It doesn't matter whether the polygon is regular or not. 
Any three sides make three angles that total 180 degrees.

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Solve the system of equations 3x+2y=14 2x-4y=4

(4/3)d^2+5=2a). d= -2/3 or d= 2/3
b). d= -3/2 or d= 3/2
c). d= -36 or d=36
d). NO REAL SOLUTION

Answers

d. no real solution.

(4/3)d² + 5 = 2
(4/3)d² = 2 - 5
(4/3)d² = -3
d² = -3 / (4/3)
d² = -3 * 3/4
d² = -9 / 4
d = √-9 / √4
d = -3/2

Even though I got the value of d, when I substituted the value to the equation, the equation is not equal to 2.

I got 8 = 2. not equal. no real solution.

find the area of one segment formed by a square with sides of 6 inches inscribed in a circle (hint: use the ratio of 1:1:square root of 2 to find the radius of the circle)

Answers

check the picture below.

How do find a missing term

Answers

Answer:

hope this helps:

Step-by-step explanation:

To find the missing term in a number sequence, identify the rule followed by the numbers in the sequence and then use this rule to find the missing term. In the above example, the rule followed by the numbers is “Add 8 and then subtract 2”. Hence, the missing term in the given number sequence is 32.

On a backpacking trip through Europe, Ethan bought snacks for 10 Swiss francs. If the foreign exchange rate between the U.S. dollar and Swiss franc is 1:2, how much did Ethan spend in dollars?

Answers

The answer is 5 U.S. dollar.

Let's make proportion: 1 U.S. dollar : 2 Swiss franc = x : 10 Swiss franc
After crossing the products:  x = 10 * 1 / 2 = 10/2 = 5 U.S. dollar

Answer:

The answer is 5 U.S. dollar

Step-by-step explanation:

How do you know 37? I don't understand, do you add another line connecting it to make a whole triangle or ..I don't understand..

Answers

Hello,
The 3th angle of the triangle is the supplement of 3x-8:
180-(3x-8)=180-3x+8=188-3x

The sum of all angles of the triangle is 180
180=2x+21+188-3x
==>180=-x+21+188
==>x=21+188-180
==>x=21+8
==>x=29

The number of grocery items on two grocery lists differs by 7. the total number of items is 33. How many items are on each list?

Answers

Answer:

There are 20 items on one grocery list and 13 items on second grocery list.

Step-by-step explanation:

We are given that there are two grocery list and one of the grocery list have seven things less than the other grocery list.

Let x be the number of items on one grocery list.

Then, by the given information, there are x -7 items on the second grocery list.

The total number of items on both the list are 33.

Then, according to the question,

x + (x-7) = 33\n2x - 7 = 33\n2x = 40\nx = 20

Thus, there are 20 items on one grocery list and (20 -7) = 13 items on second grocery list.
x+ x+7=33
2x+7=33
2x=26
x=13
x+7=20
13+20=33

one list has 13 items, the other list has 20 items
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