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babymother [125]
2 years ago
13

What is the next step in constructing an angle (MNO ) congruent to the given angle (ABC ) with a straightedge and a compass?

Mathematics
1 answer:
nata0808 [166]2 years ago
5 0

The next step in constructing an angle (MNO ) congruent to the given angle (ABC ) is, using N as the center and the same radius as before, draw an arc that intersects |NO|. label the arc PQ where Q intersects |NO|.

To construct angle MNO congruent to the given angle ABC, the following conditions must be satisfied:

  • The two angles must be equal (∠ABC = ∠MNO).
  • The radius of the two triangles must be equal.
  • The radius from center N must be equal to radius BA and BC.
  • The radius of angle MNO is NO and it must equal BA and BC

Thus, we can conclude that, the next step in constructing an angle (MNO ) congruent to the given angle (ABC ) is, using N as the center and the same radius as before, draw an arc that intersects |NO|. label the arc PQ where Q intersects |NO|.

Learn more about construction of congruent angles here: brainly.com/question/20097419

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Please help!! If f (x) = e^x sin x, then f’ (x) =
shusha [124]

Answer:

f'(x) =  {e}^{x}(  \sin x + \cos x )

Step-by-step explanation:

f(x) =  {e}^{x}  \sin  x \\  \\ f'(x) = \sin x \frac{d}{dx}  {e}^{x}  + {e}^{x}  \frac{d}{dx}  \sin x \\  \\ f'(x) =  \sin x \: {e}^{x}   +{e}^{x}  \cos x \\  \\ f'(x) =  {e}^{x}(  \sin x + \cos x )

5 0
3 years ago
9. An article was sold at a profit of 12%. Had it been sold for Nu 80 more, there would be a profit of
Kamila [148]

Answer:

<em>The cost price of the article was Nu 1,000</em>

<em>The original selling price was Nu 1,120</em>

<em>The second selling price was Nu 1,200</em>

Step-by-step explanation:

<u>System of Equations</u>

Let's call:

x = Original selling price of the article

y = Cost of the article

The first condition implies that the difference between the selling price and the cost price (the profit) is 12%. Recall the profit % is always calculated with respect to the cost, that is, the profit at the first condition is:

0.12y = Original profit

Setting up the equation, we have:

x-y=0.12y

The second condition states the selling price is 80 Nu more than before, that is:

x+80= Second selling price of the article

y = Cost of the article (it doesn't change)

The profit of this condition is 20%, thus:

0.2y = Second profit

This produces a second equation:

x+80-y=0.2y

Let's put both equations together to form a system of equations:

x-y=0.12y

x+80-y=0.2y

Operating on both equations:

x=1.12y

x=1.2y-80

Equating both equations, we have an equation with only y's:

1.12y=1.2y-80

Subtracting 1.2y on each side:

1.12y-1.2y=-80

Operating:

-0.08y=-80

Solving:

\displaystyle y=\frac{-80}{-0.08}=1,000

a)

The cost price of the article was Nu 1,000

b) The selling price of the article will be calculated in both cases:

Original selling price: x=1.12y= 1.12*1000=1,120

The original selling price was Nu 1,120

The second selling price was x+80=1,200

The second selling price was Nu 1,200

8 0
3 years ago
How do you multiply 40 7 /16?
nadya68 [22]
40 X 7/16?
I dont competly under stand becouse you just multaply it and the anser is 17.5

6 0
3 years ago
Read 2 more answers
Quadratic equations 7x^2=49
fenix001 [56]
Hope I was able to help :-)

5 0
3 years ago
What’s 22,000 - 407% of 60?
DENIUS [597]

Answer:

21,755.8

Step-by-step explanation:

To solve this equation, we must first find 407% of 60.

To do this, place the percent over 100 (fraction form), then, multiply it by the number you're finding the percentage of.

407/100 x 60/1 = 24,420/100

24420 / 100 = 244.2

244.2 is 407% of 60.

Lastly, you subtract 244.2 from 22,000.

22,000 - 244.2 = 21,755.8

4 0
3 years ago
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