Answer:
AB = 9
Step-by-step explanation:
Given that line, l is a perpendicular bisector of line segment AC. It intersects line segment AC at point B.
So, we can conclude that AB = BC ............ (1)
Also given that the length of line segment BC is 9.
Now, from equation (1) we can say that, AB = 9.
Therefore, the length of segment AB is 9. (Answer)
Answer:
9 and 16
Step-by-step explanation:
let the two numbers are X and Y
X+Y=24
X^2-Y^2=144
solve simultaneously
I think Ms.Gonzalez got 217 prizes on Wednesday.All you had to do was divide 1,307 by 6.
Answer:
There were 26 students in his class and the teacher had 83 ml of the solution.
Step-by-step explanation:
Mr. Kohl has a "x" amount of solution, if he divides it by the number of students "n" he'll give each student 3 milliliters and have a left over of 5 milliliters. If the amount of solution Mr. Kohl had was "x + 21" then he'd be able to give each student 4 milliliters of the solution. From these informations we have:
x = 3*n + 5
(x + 21)/n = 4
x + 21 = 4*n
x = 4*n - 21
Now that we have two equations and two variables we can solve the system of equations, as seen bellow:
3*n + 5 = 4*n - 21
3*n - 4*n = -21 - 5
-n = -26
n = 26
x = 4*26 - 21 = 83 ml
There were 26 students in his class and the teacher had 83 ml of the solution.
Answer:
a.
= 
b. 
Step-by-step explanation:
a) When <em>n </em>is even, then it is divisible by 2. Because of this, you can write:
b) When <em>n </em>is odd, then <em>n - 1 </em> is even. This would make it divisible by 2, and there would be a remainder of 1, so we can write:
× 
× 