Triangle angles add up to a total of 180 degrees.
X will substitute for the second angle.
(X - 10) will substitute for the first angle, which is 10 less than the second angle (x).
The third angle is a right angle which is 90 degrees.
The equation therefore, the summation of the angles:
90 + x + (x - 10) = 180
Join like terms:
80 + 2x = 180
Solve for x:
2x = 100
x = 50
This means that:
The second angle is 50.
The first angle is 50 - 10 which is 40.
We can double check by adding the angles 50, 40, and 90 together to get 180.
Answer:
40
Step-by-step explanation:
we will proceed to resolve each case to determine the solution
we have


we know that
If an ordered pair is the solution of the inequality, then it must satisfy the inequality.
<u>case a)</u> 
Substitute the value of x and y in the inequality

-------> is true
so
The ordered pair
is a solution
<u>case b)</u> 
Substitute the value of x and y in the inequality

-------> is False
so
The ordered pair
is not a solution
<u>case c)</u> 
Substitute the value of x and y in the inequality

-------> is False
so
The ordered pair
is not a solution
<u>case d)</u> 
Substitute the value of x and y in the inequality

-------> is True
so
The ordered pair
is a solution
<u>case e)</u> 
Substitute the value of x and y in the inequality

-------> is False
so
The ordered pair
is not a solution
Verify
using a graphing tool
see the attached figure
the solution is the shaded area below the line
The points A and D lies on the shaded area, therefore the ordered pairs A and D are solution of the inequality
Answer:
100
Step-by-step explanation:
So, the prime factors of 100 are written as 2 x 2 × 5 x 5 or 25*4