Problem 44
The term "bisect" means "cut in half".
Since BD bisects angle ABC, this means the smaller angles ABD and DBC are congruent.
angle ABD = angle DBC
x+15 = 4x-45
15+45 = 4x-x
60 = 3x
3x = 60
x = 60/3
x = 20
<h3>Answer: x = 20</h3>
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Problem 45
We use the same idea as the previous problem
angle ABD = angle DBC
2x+35 = 5x-22
35+22 = 5x-2x
57 = 3x
3x = 57
x = 57/3
x = 19
<h3>Answer: x = 19</h3>
Answer:
Term to add is (3/8)^2 = 9/64
Step-by-step explanation:
Here, we want to know the value that must be added to make the equation a perfect square.
x^2 - 3/4x = 5
x^2 -3/4x -(3/8)^2+ (3/8)^2 = 5
x^2 -3/4x + (3/8)^2 = 5 + (3/8)^2
= (x-3/8)^2 = 5 + (3/8)^2
So the term to add is (3/8)^2 = 9/64