The total length of the segment AC is the sum of AB and CB, which gives, CB = 9
<h3>How can the length of CB be found?</h3>
The given parameters are;
- AC = 17
- AB = 32 + 3•x
- CB = 57 + 6•x
Required: <em>CB</em>
Solution:
AC = <em>AB + CB</em> by segment addition property
Therefore;
AC = 17 = 32 + 3•x + 57 + 6•x = 89 + 9•x
17 = 89 + 9•x
CB = 57 + 6•x = 57 + 6 × (-8) = 9
Therefore;
Learn more about segment addition postulate here: brainly.com/question/1721582
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Answer:
Step-by-step explanation:
The given expression is : 
We need to simplify the above expression.
We know that, 
or
So, the simplified form of the given expression is 
. Hence, the correct option is (A).
<u>Answer:</u>
The system of equations are
x + y = 2600 …….equation (1)
and, 6x + 5y = 13700 ……equation (2)
<u>Explanation:</u>
Let x = amount of sales of phone;
y = amount of sales of computer
For phone, 6% of sales is 6% of x, or 6% * x = 0.06x.
Similarly for computer,
5% of y = 0.05y
Given the total sales; x + y = 2600
And commission; 0.06x + 0.05y = 137; or 6x + 5y = 13700
Therefore the system of equations are
x + y = 2600 …….equation (1)
6 x + 5 y = 13700 ……equation (2)
Answer:X=5/6 Y=8/5
Step-by-step explanation:
-6x +5y=3
+6x
5y=6x+3 (divide each number by 5)
Y=6/5x + 3/5 (Plug that into your x equation)
12x+15 (6/5x + 3/5) =34
(Multiply 15 by the numbers in the brackets you can break it down and do 15•6 divided by 5 )
15•6=90 divided by 5=18x
15•3= 45 divided by 5=9
(Add like variables)
12x+18x=30x
30x+9=34
(Subtract 9 from itself do the same to 34)
9-9= 0
34-9=25
Divide 30 by itself to get x by itself then divide 25 by 30
25 divided by 30= 5/6
X=5/6 (plug that into the y equation)
Y=6/5•5/6+3/5
Multiply 6/5 and 5/6 straight across because this is multiplication you don't need like denominators
6/5•5/6=30/30=1
Y=1+3/5
1/1 + 3/5
Here you need to have like denominators because it is addition so just use 5
5•1=5
5/5+3/5=8/5
Y=8/5
