The given triangle is isosceles, so the two remaining angles in the triangle both have measure <em>xº</em>. The interior angles of any triangle sum to 180º, so that
58º + <em>xº</em> + <em>xº</em> = 180º
58 + 2<em>x</em> = 180
2<em>x</em> = 122
<em>x</em> = 61
Angles <em>y</em> and <em>z</em> are supplementary to angle <em>x</em>, so that
<em>xº</em> + <em>yº</em> = 180º
and
<em>xº</em> + <em>zº</em> = 180º
and consequently, <em>y</em> = <em>z</em>. In particular, we get
<em>y</em> = 180 - 61
<em>y</em> = 119
and so
<em>z</em> = 119
It’s either C or B but I’m not sure
Part a) Total Cost
Total Cost for recapping the tires is the sum of fixed cost and the variable cost. i.e.
The total cost is ( $65,000 fixed) + (15,000 x $7.5)
=$65,000+$112,500
=$177,500
Part b) Total Revenue
Revenue from 1 tire = $25
Total tires recapped = 15000
So, Total revenue = 15000 tires x $25/tire
Total Revenue =$375,000
Part c) Total Profit
Total Profit = Revenue - Cost
Using the above values, we get:
Profit = $375,000 - $177,500
Profit = $197,500
Part d) Break-even Point
Break-even point point occurs where the cost and the revenue of the company are equal. Let the break-even point occurs at x-tires. We can write:
For break-even point
Cost of recapping x tires = Revenue from x tires
65,000 + 7.5 x = 25x
65,000 = 17.5 x
x = 3714 tires
Thus, on recapping 3714 tires, the cost will be equal to the revenue generating 0 profit. This is the break-even point.
Answer:
x=10
Step-by-step explanation:
Add 6x to both sides.
−4x+5=−35
Subtract 5 from both sides.
−4x=−40
Divide both sides by -4.
x=10
hope this helps