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Leona [35]
4 years ago
9

AngleDFG and angleJKL are complementary angles. M angleDFG =x+5, and m angleJKL=x-9. Find the measure of each angle

Mathematics
1 answer:
kicyunya [14]4 years ago
4 0
Measures\ of\ complementary\ angles\ make\ sum\ equal\ to\ 90^{\circ}.\\\\
\angle DFG+\angle JKL=90^{\circ}\\\\
x+5+x-9=90\\\\
2x=90-5+9\\\\
2x=94\ \ \ |:2\\\\x=47^{\circ}\\\\
\angle DFG=x+5=47+5=52^{\circ}\\ \angle JKL=x-9=47-9=38^{\circ}
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2 x 10 4th power - 7 3rd power

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19,657

I think this is the answer to your problem.  Hope this helped!

-TTL

6 0
3 years ago
"3. When we have two sorted lists of numbers in non-descending order, and we need to merge them into one sorted list, we can sim
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Answer:

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Step-by-step explanation:

To understand better how we arrived at the aforementioned algorithm, we take it step by step

a, Construct a min-heap of the minimum elements from each of "k" lists.

The creation of this min-heap will cost O (k) time.

b) Next we run delete Minimum and move the minimum element to the output array.

Each extraction takes O (log k) time.

c) Then insert into the heap the next element from the list from which the element was extracted.

Now, we note that  since we extract n elements in total, the running time is

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Since we extract n elements in total, the algorithm for the running time for K sorted list is O (n log k+ k) = O (n log k)

5 0
3 years ago
One study found that the number of interest groups increased by what percentage between 1959 and 1995?
FrozenT [24]

Answer:

Percentage change in interest groups between 1959 (500) & 1995 (600) = 20%

Step-by-step explanation:

Percentage change = <u>Change ie (New - Old)  </u>  x 100

                                        Old value

Suppose -

Number of interest groups in 1959 = 500

Number of interest groups in 1995 = 600

Percentage change = [ (600 - 500) / 500 ] x 100

( 100 / 500 ) x 100 = 20%

6 0
3 years ago
Carl wants to buy a television that cost $500 including taxes to pay for the television he will use a payment plan that requires
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Answer:

41%

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Hence, the % increase in price is 41%

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3 years ago
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