1. 
, then 
and triangles ADC and ACB are similar by AAA theorem.
2. The ratio of the corresponding sides of similar triangles is constant, so
.
3. Knowing lengths you could state that 
.
4. This ratio is equivalent to 
.
5. 
, then 
and triangles BDC and BCA are similar by AAA theorem.
6. The ratio of the corresponding sides of similar triangles is constant, so
.
7. Knowing lengths you could state that 
.
8. This ratio is equivalent to 
.
9. Now add results of parts 4 and 8:
.
10. c is common factor, then:
.
11. Since 
you have 
.
Length(l)= 2w
width(w)= w
Perimeter(P)= 2w+2l= 72 (simplify expression: divide each side by 2 )
P= w+l= 36 (plug in "2w" for "l")
P= w+(2w)= 36
P= 3w= 36 (divide each side by 3 to find the width)
w= 12 units
find length:
l=2w
l= 2(12)
l= 24 units
Answer:
The length of this rectangle is 24 units and the width is 12 units.
Answer:
D)The experimental probability is greater than the theoretical probability
Step-by-step explanation:
Given:
75 times a die is rolled out of 39 times it got 6
To Find :
Which statement is true?
Solution:
The theoretical probability is given by the ,
Pt=No.of favorable outcomes/Total outcomes
Here favorable is getting 6 on the die
so how many times we can get 6 =1 time
Total outcomes =6
Pt=1/6
Pt=0.1667
Now for
The experimental Probability ,
Pe=Number times that event occur /Total no of trails
Here 39 times we get 6 and total no trails are 75
Pe=39/75
Pe=0.52
Hence we can say that Pe>Pt.
Perimeter is the sum of all the sides of the shape
do you know the length of each side of the parallelogram?
The sum of interior angles of a polygon with n sides is 180*(n-2)
Therefore, for this question,
n=70
the sum of interior angles=180*(70-2)=180*68=12240 degree
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