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>
It will change from having a value of 7,000 to having a value of 70
Answer:
$2668.63
Step-by-step explanation:
If the average of 4 months is $5
Meaning the total sum for 4 months
4×5 =$20
If the average for the year was $1780.75
It means the total sum for a year is;
$1780.75×12 =$21369
This means the money received for the remaining 8 months is;
$21369-$20=$21349
Hence the average income for the remaining 8months is ;
The total amount for 8 months / 8;
$21349/8= $2668.625
$2668.63
Answer:
$16.50
Step-by-step explanation: