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:
1 3/5
Step-by-step explanation: First you have to line the fractions up then you add what is under the 1 which is nothing then you add 2 and 4 and get 6 then you add 12 and 3 and get 15 then it can be simplified then you get 1 3/5
Answer:
<em>6</em><em>4</em><em> </em><em>IS</em><em> </em><em>THE</em><em> </em><em>ANSWER</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em>
Answer:

Step-by-step explanation:
The given rational expression is:

We can use concept of Partial Fractions to solve this problem. Let,

Multiplying both sides by (x - 1)(x - 5), we get:

Substituting x = 5, we get:

Substituting x = 1, we get:

Substituting the value of A and B, back in the original equation, we get:
