Given:
A figure of a parallelogram.
The vertex angles are
.
To find:
The values of a and b.
Solution:
We know that the pairs of consecutive angles of a parallelogram are supplementary angles. It mean their sum is 180 degrees.
(Supplementary angles)


Subtract 10 from both sides.


Divide both sides by 17.


Now,



And,
(Supplementary angles)



Divide both sides by 2.



Therefore, the value of a is 64 and the value of b is 10.

To solve for
, we need to isolate it on one side of the equation.
The most important part of this is knowing that whatever we do to one side of the equation, we must also do to the other.
Subtract 32 from both sides of the equation.

Divide both sides of the equation by
.

Answer:
Pattern: subtract 2 from the input to get the output
When the input is 9, the output is 7
When the input is 13, the output is 11
Step-by-step explanation:
» <u>Application + Solution</u>
To find the pattern, we have to look for common things we notice between the input and output.
- After analyzing, we can surely notice that we subtract two from the input each time to get the output because 3 - 2 = 1, 8 - 2 = 6, 15 - 2 = 13, and 20 - 2 = 18.
Now that we realized the pattern, we subtract 2 from 9 and 13.

to solve for j first you need to cross multiply;
j × 35 = 42 × 55
35j = 2,310
j = 2,310 ÷ 35 (did the inverse operation)
j = 66
Hope that helps :D