The area of the central rectangle = 5 * 3 = 15 ins^2
area of each triangle = 1/2*3*3 = 4.6 ins^2
Total area = 2*4.5 + 15 = 24 ins^2 (answer)
Answer:
The value is 
Step-by-step explanation:
From the question we are told that
The number of cans is n = 4
The number of can that are empty is N = 3
The number of can filled with water is k = 1
The number number of sets of cans is w = 5
Generally probability of detecting the correct can is mathematically represented as

=> 
=> 
Generally probability of not detecting the correct can is mathematically represented as



Generally the number of cans expected of the farmer to correctly identify by chance is mathematically represented as

=> 
=> 
Answer:
x=45
Step-by-step explanation:
Because angles that are vertical to each other are congruent that means 2x+6=96
-6 -6
2x=90
2(45)=90
-2m-2=10
-2m=12
m=-6,
or
m+1=-5
m=-6
5) So for parallelogram ABCD, ∠B ≅ ∠D, and ∠A ≅ ∠C. Further, ∠B and ∠A are supplementary (i.e., their sum is 180°), and ∠D and ∠C are also supplementary.
So, we have that m∠B = m∠D. Therefore,

Now, let's substitute for x back into the expression for either ∠B or ∠D to find it's angle measure.
m∠B =

Now, remember that ∠B or ∠D are supplements of ∠A.
So, m∠B + m∠A = 180°.
That means m∠A = 180° – 72° = 108°.
That seems reasonable, because A appears to be an obtuse angle.