Answer:
Length of diagonal is 18 m
Step-by-step explanation:
Given in trapezoid ABCD. AC is a diagonal and ∠ABC≅∠ACD. The lengths of the bases BC and AD are 12m and 27m. We have to find the length of AC.
Let the length of diagonal be x m
In ΔABC and ΔACD
∠ABC=∠ACD (∵Given)
∠ACB=∠CAD (∵Alternate angles)
By AA similarity theorem, ΔABC~ΔACD
∴ their corresponding sides are proportional
Comparing first two, we get
⇒
⇒
⇒
hence, the length of diagonal is 18 m
Answer:
Photo.
Step-by-step explanation:
A: The graph of the system is all points in the graph that suit 4x-2<y</=-5/2x-2
B: The point (-2,-2) is not included in the solution area. While it suits the second equation, it doesn't suit the first, ruling it out as a possible solution. If you plug in -2 as both y and x in the equation 4x-2>y, you'll get -8>-2, which is false. So, it is not a solution.
Answer;
Total profit is $18000
Step-by-step explanation:
Given in question
Number of unit is <em>1000</em>
Average revenue is <em>$100</em>
Average total cost is<em> </em><em>$80</em>
Fixed cost is <em>$2000</em>
Total revenue = average revenue number of unit
Total revenue = $100 1000=$100000
Total input cost = total cost + fixed cost
Total cost = average cost total unit
Total cost =$80 1000 = $80000
Total input cost = $80000 + $2000 = $82000
Profit = total revenue-total cost
Profit = $100000 - $82000 = $18000
Total profit is $18000
Answer:
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