<h3>
<u><em>We need to solve for the angle VXY and it is equivalent to (18x - 2)°. We all know that the total angle of the given figure is 106°, so by adding the angles of the four sides, we can solve for the value of x. The solution is shown below:</em></u></h3>
<em>∠WVX + ∠VXY + ∠XYW + ∠YWV = 360°</em>
<em>Substituting their values, we have:</em>
<em>90° + (12x + 2)° + 90° + (18x -2)° = 360°</em>
<em>Perform addition and subtraction</em>
<em>90 + 12x + 2 +90 + 18x -2 = 360</em>
<em>30x + 180 = 360</em>
<em>Transpose 180 to the right side such as:</em>
<em>30x = 360 -180</em>
<em>30x = 180</em>
<em>Solve for x, we have:</em>
<em>x = 180 / 30</em>
<em>x = 6</em>
<em>Solving for the angle VXY, we have:</em>
<em>∠VXY = 12X + 2 = 12(6) + 2</em>
<em>∠VXY = 74°</em>
<em>The answer is 74°.</em>
The given set with four elements will have 16 subsets
Step-by-step explanation:
The number of subsets are calculated by using the number of elements in the given set.
Given set is:
{1,4,9,18}
The number of elements in the given set are: 4
So,
n = 4
The formula used for calculating the number of sub-sets is:
Where n is the number of elements in the set
Putting n=4
So,
The given set with four elements will have 16 subsets
Keywords: Set, subsets
Learn more about sets at:
#LearnwithBrainly
In mathematics, a percentage (from Latin per centum "by a hundred") is a number or ratio expressed as a fraction of 100.
Answer:
Step-by-step explanation:
3a^4 -2a^2 + 5 - 10 -(2a^4 +4a^2 + 5a -2)
as given.. i'm wondering if the 5 in the first group is really 5a.. hmmm
I'm guessing that it is... soooo distribute the minus sign
= 3a^4 - 2a^2 +5a -10 -2a^4 -4a^2 -5a +2
= a^4 -6a^2 -8 :) voila that's your answer
Answer:
$3 max
Step-by-step explanation:
Charge= b, Customer= c, Revenue= r
r= bc, currently, r= 16*10= $160
We know that: b+1 ⇒ c-2 and the target is r ≥ 130
So, this will all be reflected as:
b=10+x ⇒ c= 16-2x
- (10+x)(16-2x) ≥ 130
- 160 -20x +16x - 2x² ≥ 130
- -2x² - 4x + 30 ≥ 0
- x² + 2x -15 ≤ 0
- (x+1)² ≤ 4²
- x+1 ≤ 4 (negative value not considered)
- x ≤ 3
As we see the max increase amount is $3, when the revenue will be:
(10+3)*(16-3*2)= 13*10= $130