Answer:
120°.
Step-by-step explanation:
The sum of all interior angles in a polygon with
sides (
,
) is equal to
. (Credit: Mathsisfun.)
The polygon here has 6 sides.
. Its interior angles shall add up to
.
Consider the properties of a regular polygon. (Credit: Mathsisfun.)
- All sides in a regular polygon are equal in length.
- All angles in a regular polygon are also equal.
There are six interior angles in a polygon with 6 sides. All six of them are equal. Thus, each of the six interior angle will be
.
Circumference of a circle = 2πr
Circumference of the whole circle= 2π(30) = 60π
360 - 90 = 270
Length XPY = 270/360 x 60π = 45π
Answer: 45π m
Answer:
16 cm, 30 cm, 34 cm
Step-by-step explanation:
I got this answer simply by plugging each number into my calculator with the following equation:

When you the lower numbers into the equation, if the lengths really do give you a triangle, then you should get the largest number as your output. This can help you with any of the other questions that you may have to answer.
Answer:
Step-by-step explanation:
Let the 10s digit = x
Let the units digit = y
x +y = 11 Sum of the digits = 11
10x + y + 45 = 10y + x Reversed number is 45 more than original #
10x - x + y + 45 = 10y We subtracted x from both sides.
9x + y + 45 = 10y Subtract y from both sides.
9x + 45 = 10y - y Combine the right
9x + 45 = 9y
Put x + y = 11 into the equation just found.
9x + 45 = 9(11 - x) divide through by 9
x + 45/9 = 11 - x add x to both sides
2x + 5 = 11 Subtract 5 from both sides
2x = 11 - 5
2x = 6 Divide by 2
x = 6/2
x = 3
x + y = 11
3 + y = 11
y = 11 - 3
y = 8
Now check it out.
the original number is 38
the new number is 83 which the digits are reversed.
83 - 38 = 45 just as it should.