Answer:
x = 2
Step-by-step explanation:
these angles are alternate-interior angles which are congruent
-1 + 38x = 36x + 3
38x = 36x + 4
2x = 4
x = 2
Answer:
If I remember correctly, right angles are 90 degree angles. So the answers would be A. B. and C.
Step-by-step explanation:
If you see the little box on the angle, that means it's a 90 degree (right) angle.
Answer:
0.01364
Step-by-step explanation:
It is given that,
A store sells a 33-pound bag of oranges for $3.60 and a 55-pound bag of oranges for $5.25.
Price per pound of 33 pound bag is 3.60/33 = 0.10909 price per pound
Price per pound of 55 pound bag of oranges is 5.25/55 = 0.09545 price per pound
Difference between price per pound for the 33-pound bag of oranges and the price per pound for the 55-pound bag of oranges is :
D = 0.10909 - 0.09545
D = 0.01364
Therefore, this is the required solution.
Answer:
By closure property of multiplication and addition of integers,
If 
is an integer
∴ 
is an integer
From which we have;
is an integer
Step-by-step explanation:
The given expression for the positive integer is x + x⁻¹
The given expression can be written as follows;
By finding the given expression raised to the power 3, sing Wolfram Alpha online, we we have;
By simplification of the cube of the given integer expressions, we have;
Therefore, we have;
By rearranging, we get;
Given that is an integer, from the closure property, the product of two integers is always an integer, we have;
is an integer and 
is also an integer
Similarly the sum of two integers is always an integer, we have;
is an integer
is an integer
From which we have;
is an integer.
