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dlinn [17]
3 years ago
5

Copy DEF to the line so that S is the vertex. This task will be complete when you have constructed an angle with vertex S that i

s congruent to DEF​
PLEASE HELP ASAP

Mathematics
1 answer:
tino4ka555 [31]3 years ago
4 0

Explanation:

There are numerous videos and web sites that can show you the process of copying an angle. Some are animated. The best we can do here is show you a diagram with instructions. Of course, your curriculum materials already provide that.

__

1. Set the compass to a convenient radius. Use that to draw an arc through rays ED and EF, using point E as the center.

2. Without changing the compass setting, draw a similar arc using S as the center, making sure it crosses the line containing S and extends far enough to accommodate the following steps. (In the attached, we show a full circle, because the tool we used won't draw an arc with a specific radius.)

3. Mark the points where the arc crosses ED as G, and where it crosses EF as H. Mark the point where the arc crosses the line containing S as I.

4. Set the compass radius to the distance GH. Using I as the center draw an arc with that radius so that it crosses the one made in step 2. Call that intersection point J. (Again, we have shown a circle because of the limitations of the tool being used for our diagram.)

5. Draw ray SJ to complete the angle copy.

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Answer:

A = 80π

Step-by-step explanation:

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3 years ago
Can someone please solve this.
Ksju [112]

Answer:

see explanation

Step-by-step explanation:

A

Given

(x² + 3)² + 21 = 10x² + 30 ← factor out 10 from each term on the right side

(x² + 3)² + 21 = 10(x² + 3) ← subtract 10(x² + 3) from both sides

(x² + 3)² - 10(x² + 3) + 21 = 0

Substituting u = x² + 3 into the equation gives

u² - 10u + 21 = 0 → D

---------------------------------------------

B

Using u² - 10u + 21 = 0 to solve the equation

Consider the factors of the constant term (+ 21) which sum to give the coefficient of the u- term (- 10)

The factors are - 3 and - 7, since

- 3 × - 7 = 21 and - 3 - 7 = - 10, thus

(u - 3)(u - 7) = 0

Equate each factor to zero and solve for u

u - 3 = 0 ⇒ u = 3

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We now have to use the substitution to convert the solutions into terms of x, that is

x² + 3 = 3 ( subtract 3 from both sides )

x² = 0 ⇒ x = 0 → D

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x² = 4 ( take the square root of both sides )

x = ± \sqrt{4} = ± 2

Thus x = - 2 → C

x = 2 → E

4 0
3 years ago
What is the vertex of the graph shown below? Write your answer in the form (x,y)
charle [14.2K]
The vertex of a parabola is the point where the parabola crosses its axis of symmetry.
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 answer:
 the vertex of the graph shown below is 
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