<span>10!/5! =10*9*8*7*6=30,240;;
If order is not considered, 10C5 =10!/5!5!=252 </span>
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:
5
Step-by-step explanation:
Let L be the larger number and s be the smaller one.
Then we have two equations.
(1) L – s = 25
(2) s = L/6 Multiply both sides by 6
6s = L Substitute the value for L in Equation(1)
6s – s = 25 Combine like terms
5s = 25 Divide both sides by 5
s = 5
The value of the smaller number is 5.
