Answer:
x = 48 and y = 104
Step-by-step explanation:
Given equations are:
From equation 1:
Putting the value of y in equation 2
Now we have to put the value of y in one of the equation to find the value of x
Putting y = 104 in the first equation
Hence,
The solution of the system of equations is x = 48 and y = 104
The value of variable which was assumed for number of hats, is the total number of hats.
Using the general recursive formula, he 25-th term in the arithmetic sequence is 29.7
<h3>
How to find the value of a₂₅?</h3>
Here we have an arithmetic sequence with the first term a₁ = 3.3 and the common difference is d = 1.1
Remember that the general arithmetic recursive formula is:
aₙ = a₁ + (n - 1)*d
This formula allows us to find the n-th term of the arithmetic sequence only using the first term and the common difference.
In this case, we just need to replace n by 25 and the values written above.
a₂₅ = 3.3 + (25 - 1)*1.1 = 29.7
We can conclude that the 25th term in the sequence is 29.7
If you want to learn more about arithmetic sequences:
brainly.com/question/6561461
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Answer:
x=allrealsolutions
Step-by-step explanation:
Answer:
The square root of -9 cannot be -3 because -3 squared or -3 times -3 equals 9 not -9.
Hope this helps!
Answer:
C. 139°
Step-by-step explanation:
Given:
m<A = 62°
m<B = 77°
Required:
Find m<1
Solution:
Since ∆ABC is similar to ∆DEF, therefore:
<A ≅ <D, which means m<D = 62°
<B ≅ <E, which means m<E = 77°
<C ≅ <F
Therefore, based on exterior angle theorem:
m<1 = m<D + m<E
m<1 = 62° + 77° (substitution)
m<1 = 139°
