Answer:
69
Step-by-step explanation:
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Hi there!
In order to fin the average, you need to add all the terms together and then divide the result by the number of terms :
(
) ÷ 2 = average
Now, I’m assuming that you know that in order to add fractions, both fractions must have the same denominator (bottom number in a fraction). Since these fractions do not have the same denominator, we must give them one.
To find the lowest common denominator (which will help us solve this problem), we must find out what 2 & 3 go into. Well, both numbers go into 6!
So, if the denominator is now 6, you must multiply the numerator (numbers about the “/” line in this case are both 1) by how much you multiplied its denominator by.
For 1/2, you multiplied 2 by 3 to get 6. Therefore, you must multiply the 1 by 3 aswell.
for 1/3, you multiplied 3 by 2 to get 6. Therefore, you must multiply the 1 by 2.
and now you have 3/6+2/6 since the denominators are the same, you can add the numerators normally which gives you 5/6
÷ 2 = 
Your answer is : 
There you go! I really hope this helped, if there's anything just let me know! :)
Answer:
<em>x = -2</em>
<em>y = -5</em>
Step-by-step explanation:
<u>Properties of a Parallelogram</u>
- Two pairs of opposite sides are parallel.
- Two pairs of opposite sides are equal in length.
- Two pairs of opposite angles are equal in measure
- The diagonals bisect each other.
- Adjacent angles are supplementary.
- Each diagonal divides the quadrilateral into two congruent triangles.
Each diagonal is divided into two measures expressed with variables. Since diagonals bisect each other:
y + 23 = -4y - 2. And
-2x + 6 = x + 12
Solve the first equation. Adding 4y:
5y + 23 = - 2
Subtracting 23:
5y = -25
Dividing by 5:
y = -5
Solve the second equation. Subtracting x and 6:
-3x = 6
Dividing by -3:
x = -2
Solution:
x = -2
y = -5
Answer: 33.13 in
Step-by-step explanation:
First, let's start with the perimeter of the semicircles.
Since there are two, it is easier to do because the perimeter of the two halves will add to one full circle; so we can just calculate without having to halve anything.
The formula for the perimeter (aka circumference) of a circle is 2πr
Plug the radius into the equation to get 2π4, or 8π
8π ≈ 25.13
The perimeter of the rectangle is 6(4) = 24.
We now have to subtract the diameters of the circles, as they are not on the outside of the figure and won't be counted in the total perimeter. From the 24, we subtract the two diameters, or 16 in.
24 - 16 = 8
The total perimeter then comes out to be 25.13 + 8, or 33.13 in