The answer you're looking for is 83.
Given:
AD is an angle bisector in triangle ABC.
.
To find:
The value of
.
Solution:
AD is an angle bisector in triangle ABC.



According to the angle sum property, the sum of all interior angles of a triangle is 180 degrees.
Using angle sum property in triangle CAD, we get





Therefore, the angle of angle ADC is
.
Let Max be

years.
Then Lenny is

years
When we subtract Max's age from Lenny's age we obtain

This is equal to
Putting all together we have
Answer:
c. 5x - 3 = 125
Step-by-step explanation:
Mrs. Jones deducts $3 from each of her 5 children's allowances this week because they didn't finish their chores. They then received a total of $125 in allowance. a. 5(x - 3) = 125
b. 5x - 15 = 125
c. 5x - 3 = 125
d. 5x = 140
Solution:
Let x represent the allowance for each of Mrs. Jones children. Since she deducts $3 from each children because they didn't finish their chores, the allowance for each child becomes x - 3.
There are 5 children, hence the allowance for the 5 children would be:
5(x-3)
Since they received a total of $125 in allowance, hence:
5(x-3) = 125
5x - 15 = 125
5x = 125 + 15
5x = 140
Option c is wrong
Answer:
(0,1)
Step-by-step explanation:
There are infinite number of (x,y) pairs in a line, so it should be easy to use any value for one of the coordinates (x or y) and find what the other coordinate should be. We can use a simple value that would make our solving easy, for example x = 0. We use this value to replace x in the equation of the line, and solve for y:

Therefore the pair (0,1) is a solution for the given equation.