Vertical angles are equal, so
.. 3x +8 = 5x -20
.. 28 = 2x . . . . . . . . add 20-3x
.. 14 = x . . . . . . . . . . divide by 2
Each of the vertical angles is 3*14 +8 = 50°, so the supplementary one is 130°.
.. 5*14 +4y = 130
.. 4y = 60 . . . . . . . . subtract 70
.. y = 15 . . . . . . . . . . divide by 4
The values of interest are
.. x = 14
.. y = 15
Answer:
In this question, we can use the Pythagorean theorem to solve for x.
11^2 + x^2 =24^2
x^2 = 24^2 -11^2
x is about 21.3
Let me know if this helps!
Answer:
System of equations:
3.5c + 5a = 377
c + a = 85
Solved:
(53, 32)
Step-by-step explanation:
32 children's tickets were sold and 53 adults tickets were sold.
Answer:
Step-by-step explanation:
For this case we must determine the inverse of the following function:

Step 1:
We would write
or 
Step 2:
We clear x:


Step 3:
"x" and "y" are exchanged:

The inverse is:
