Answer:
Option E: 24.
Step-by-step explanation:
When Caleb (C) has 20 more books than Danica (D), we have:
(1)
Now, when Caleb gives Danica half of his books:
(2)
Danica will have 4 more books than Caleb, so:
(3)
Also we have that:
(4)
By entering equation (2) and equation (3) into equation (4) we have:
(5)
From (1) we have:
(6)
By entering (6) into (5):


And, from (6):
Therefore, the correct option is E, Caleb had to start with 24 books.
I hope it helps you!
Answer:
x = 41 , y = 139
Step-by-step explanation:
x and 41° are alternate exterior angles and are congruent , so
x = 41
x and y are a linear pair and sum to 180° , that is
x + y = 180
41 + y = 180 ( subtract 41 from both sides )
y = 139
Answer:
3sqrt2
Step-by-step explanation:
If a side length is a, then a^2 + a^2 = 36
2a^2 = 36
a^2 = 18
a = 3sqrt2
Or, you can remember that in a square, if you cut it in half diagonally, you get a 45-45-90 triangle, so the sidenglth is diagonal/sqrt2
Answer:
proportional graph is a straight line that always goes through the origin. A non-proportional graph is a straight line that does not go through the origin.
Step-by-step explanation:
Answer:
4 1/3(b-21) im pretty sure