Answer:
units
Step-by-step explanation:
The perimeter of a square is 4 times the length of one side.
The length of the sides of a square is given by the expression 
To find the perimeter, we multiply this expression by 4.
We expand to obtain:
This simplifies to:
Answer:
135°
Step-by-step Explanation:
==>Given:
An inscribed quadrilateral ABCD with,
m<A = (3x +6)°
m<C = (x + 2)°
==>Required:
measure of angle A
==>Solution:
First, let's find the value of x.
Recall that the opposite angles in any inscribed quadrilateral in a circle are supplementary.
Therefore, this means m<A + m<C = 180°
Thus, (3x+6) + (x+2} = 180
3x + 6 + x + 2 = 180
Collect like terms:
3x + x + 6 + 2 = 180
4x + 8 = 180
Subtract 8 from both sides:
4x + 8 - 8 = 180 - 8
4x = 172
Divide both sides by 4:
4x/4 = 172/4
x = 43
We can now find m<A = (3x + 6)°
m<A = 3(43) + 6
= 129 + 6
measure of angle A = 135°
Answer:
(a)There are 24 cakes in total
(b)There are 15 pieces of cakes left
Step-by-step explanation:
Let the total cakes=x
Let number of cakes eaten by Mindy=m
Let number of cakes eaten by Troy=t
Now:
m=3
Since m+t=9
3+t=9
t=9-3=6
The Number of Pieces of Cake Left in Total=x-(t+m)
Since Troy had 
of the total cake
x=6X4=24
(a)There are 24 cakes in total
(b)The Number of Pieces of Cake Left in Total=x-(t+m)=24-9=15 cakes
Answer:
400
Step-by-step explanation:
Answer: mean = 318.3
Median =330
Mode= 200
Step-by-step explanation:
Mean (average) is the total sum of values in a given a data set ÷ number of values
= 3820/12
Mean= 318.3
Median= midpoint value in a given data set. When the data set is an even number, median is calculated with the 2 middle point values as n1 + n2/2
Step 1: we rearranged the data set from least to highest value to give
200,200,220, 240,300,320,340,360,380,400,420 and 440
Median= 320 + 340/2
=660/2 = 340
Mode is the value with highest frequency in a given data set, from the given question, mode = 200
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