Answer:
x = 16
m<Y = 34°
Step-by-step explanation:
∆XYZ is an isosceles ∆. An isosceles ∆ has two equal sides, as well as the bases of the isosceles triangle are congruent. In this case, therefore:
<X = <Z
(6x - 23)° = (4x + 9)
Solve for x
6x - 23 = 4x + 9
Collect like terms
6x - 4x = 23 + 9
2x = 32
Divide both sides by 2
x = 16
m<Y = 180° - (m<X + m<Z) (sum of ∆)
m<Y = 180 - ((6x - 23) + (4x + 9))
Plug in the value of x
m<Y = 180 - ((6(16) - 23) + (4(16) + 9))
m<Y = 180 - (73 + 73)
m<Y = 34°
Hi!
length = l = 2 * width = 2 * w
Area = l * w = l * 2 * l = 2 * l^2
2 * l^2 = 72
l^2 = 72/2 = 36
l = square root of 36
l = 6
l = 2 * w => w = l/2 = 6/2 = 3
Perimeter = 2 * l + 2 * w = 2 * 6 + 2 * 3 = 12 + 6 = 18 feet
Hope this helps!
Answer:
Kindly check explanation
Step-by-step explanation:
Given that :
One time fee = $30
Reduced price of ticket after one time fee payment = $17
Regular ticket cost = $25
Write an inequality that can be used to determine the number of reduced price concert tickets you would need to purchase in order for the total cost to be less expensive than the same number of regular tickets
Let the number of tickets needed to purchase = t
Reduced ticket = 30 + 17t
Regular ticket = 25t
30 + 17t < 25t
30 < 25t - 17t
30 < 8t
30/8 < 8t/8
3.75 < t
t > 3.75
Hence number of ticket must be greater than 3.75
t = 4
Building and solving an inequality, it is found that at a volume of sales of $11,875 he will start to earn more from the commission based compensation.
------------------------
- We want to find how much in dollars he has to sell such that 8% of this amount is greater than $950.
- Supposing he sells $x, 8% of this is represented by 0.08x. We want it to be greater than $950, thus, the inequality is:
Now we solve the inequality, similarly to how we would solve an equality.
At a volume of sales of $11,875 he will start to earn more from the commission based compensation.
A similar problem is given at brainly.com/question/17248342
4+x <u><</u> 8: i believe this would be the right answer
