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>
No, it is not possible for Eric to have spent 35 minutes playing basketball if he plays for a total of exactly 95
<h3>How to form a linear equation</h3>
Let the time taken to play basketball be "x"
Let the time taken to play volleyball be "y"
According to the information given, Eric plays basketball and volleyball for a total of 95 minutes every day, then;
x + y = 95
If he plays basketball for 25 minutes long, then;
x = 25
The pair of linear equations that represents the statement are:
x + y = 95
x = 25
The time it takes Eric to play volleyball every day is expressed as:
y = 95 - x
y = 95 - 25
y = 70 minutes
No, it is not possible for Eric to have spent 35 minutes playing basketball if he plays for a total of exactly 95
Learn more on linear equations here: brainly.com/question/14323743
Answer:
(20-3x)/2 GB
Explanation:
Total amount of data on my computer = 10GB
Total amount of data occupied by movies = x GB
If pictures take up half the amount of space that movies do, then;
Total amount of data occupied by pictures = 1/2 of space occupied by movies = 1/2 x
If the remaining are music, the amount of space occupied by music will be expressed as shown;
Total space -(space occupied by movies + space occupied by pictures)
= 10 - (x+1/2 x)
Total amount of data occupied by music = 10 - (x+1/2 x) GB
On simplification;
= 10 - (x+1/2 x)
= 10-{(2x+x)/2}
= 10 - {3x/2}
= (20-3x)/2 GB
Hence, amount of gigabytes of music stored on my computer is expressed as (20-3x)/2 GB.
<h2>
Therefore the length of the living room = 24 ft</h2>
Step-by-step explanation:
Given that , Consuelo's living room is in the shape of rectangle and has an area of 360 square feet and the width of the living room is 
its length
Let ,the length of the living room is = x ft
Then width =
ft
Therefore the area of the living room =
According to problem,
⇔
⇔
⇔
⇔
⇔
Therefore the length of the living room = 24 ft
<span> -(x + 1) - 5 > 10
-x - 1 - 5 > 10
- x - 6 > 10
Add 6 to the both sides,
-x - 6 + 6 > 10 + 6
-x > 16
x < -16 [ changed sign 'cause changed -sign ]
In short, Your Answer would be x < -16
Hope this helps!</span>
