The perimeter (62 cm) is twice the length plus twice the width.
The length plus twice the width is given as 42 cm. The difference between these sums is the length, 20 cm.
Answer:
Option A is correct.
Step-by-step explanation:
The following matrix represent the augmented matrix
In augmented matrix the left side represent the co-efficient of the variables and right side represent the value of variables.
Since the matrix has been solved and reduced so, the solution of variables x, y and z is written on right side of augmented matrix
The given matrix is:
Since the last row is all zero and we have a non zero entry for the solution, the matrix is inconsistent.
As the variables have zero values, there cannot be any solution
So, there is no solution.
So, Option A is correct.
Answer: The maximum number of people who could answer yes for both cat and dog is 7.
Step-by-step explanation: Given that a survey of 100 people asked if they have a dog or a cat.
Out of those 100 people, 56 people answered yes for dog and 51 people answered yes for cat. Some people may own neither and some people may own both animals.
We are to find the maximum number of people that could answer yes for both cat and dog.
Let A and B represents the set of people that answered Yes for dog and Yes for cat respectively.
Then, according to the given information, we have

From Set Theory, we have

Since the total number of people is 100, so we get

Therefore, from equation (i), we get

Thus, the maximum number of people who could answer yes for both cat and dog is 7.
1 In 10 is a ratio 1:10 or 1/10. Add 1 for
1 + 1/10 = 1 1/10
Answer:
Below.
Step-by-step explanation:
a = 37 degrees ( vertical angle to 37 )
c = 180 - 37 = 143 degrees (adjacent angles add up to 180).
b = 180 - 37 - 109 = 34 degrees (angles in a triangle sum to 180 degrees).