Given:
Two lines intersect each other.
Consider the below figure attached with this question.
To find:
The value of x.
Solution:
If two lines intersect each other then the vertically opposite angles are congruent and their measures are equal.
In the given figure, the measures of two vertically opposite angles are (2x+29)° and (9x-13)°.



Divide both sides by -7.


Therefore, the value of x is 6.
A) set x as the number of cameras
18x=9x+1800
9x=1800
x=200
b) i'm assuming it's increasing production from my answer in a, so the profit would be 18(250)-(9*250+1800)=4500-4050=450
The given equation is:
14.8 = n - 0.3
Adding 0.3 to both sides, we get:
14.8 + 0.3 = n - 0.3 + 0.3
15.1 = n - 0
15.1 = n
Thus, the value of n for which the given equation is true is 15.1
Hey there!
To find the discount, just multiply the original price by the percent.
49*.65= 31.85(how much it was taken off)
Now subtract31.85 from 49 and you'll get
17.15
$17.15 is now the new price
Answer: 122
Step-by-step explanation:
Since it is a geometric sequence, lets see the pattern below:
From this, we can see that we multiply each number by -3 to get the next number.
Before we find the sum, we first find the next number.
-54×-3=162
So the whole sequence will be: 2, -6, 18, -54, 162
Find the sum
2+(-6)+18+(-54)+162
=2-6+18-54+162
=-4-36+162
=-40+162
=122
Hope this helps!! :)
Please let me know if you have any question