Answer:
7 of the angles measure 144 degrees each and one angle measures 72 degrees
Step-by-step explanation:
Let
x -----> represent the measures of the seven same-size angles,
x/2 ----> represent the measure of the one that is "two times smaller."
we know that
The sum of internal angles of a polygon can be calculated as:
where
n is the number of sides of the polygon
In this case
n=8 (octagon)
substitute
so
The linear equation that represent this problem is
solve for x
so
therefore
7 of the angles measure 144 degrees each and one angle measures 72 degrees
Answer:
The number of adults tickets and student tickets purchased is 5 and 3.
Given that,
Tickets to a movie cost $7.25 for adults and $5.50 for students.
A group of friends purchased 8 tickets for $52.75.
Here we assume the no of adult tickets and no of student tickets be x and y.
Based on the above information, the calculation is as follows:
7.25x + 5.50y = 52.75 .............(i)
x + y = 8
x = 8 - y..................(2)
Now put the x value in the equation (1)
So,
7.25(8-y) + 5.50y = 52.75
7.25 × 8 - 7.25y + 5.50y = 52.75
58 - 1.75y = 52.75
5.25 = 1.75y
y = 3
So,
x = 8 - 3
= 5
Therefore we can conclude that the number of adults tickets and student tickets purchased is 5 and 3.
-Hope this helps<3
Answer:
14.45cm2
Step-by-step explanation:
The diagonal is the diameter of the circle.
4.6cm
The perimeter of the circle is
Pi x4.6= 3.142 * 4.6= 14.45cm2
36j + j = 37j
Explanation.
You could translate this sum into a normal sebtence: I have 36 apples and add 1 apple more.
The sum will then be 36 apples + apple = 37 apples.
Replacing the word (in this explanation 'apple') by a letter learns us 36a + a = 37a
Hence 36j + j = 37j
11 L : 20 mL
I believe but that was quick mental math