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3 years ago

What are the steps for constructing a copy of an angle using only a compass and a straightedge?

Mathematics

1 answer:

juin [17]3 years ago

6 0

Answer:

1. Use a straightedge

2. Draw dots on the line to mark the starting point

3. Place the point of the compass on the point you made or was given

4. Extend the compass so that the pencil is on the 2nd point & make a an arc thru point B

5. Place the compass point on the starting point dot on the line and draw w/ the pencil to create an arc crossing the line.

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Homer wants to identify the center and radius of the circle defined by the equation x2 + y2 - 14x +

Klio2033 [76]

Homer has made mistake in step 2

When you complete the square, you need to add the values to both sides of equation

Solution:

Given equation of circle:

$x^2 + y^2 -14x + 2y -25 = 0$

Let us first calculate center and radius and find out where he did the mistake

Step 1:

Group the terms

$x^2 -14x + y^2 + 2y = 25\\\\(x^2 -14x) + (y^2 + 2y) = 25$

Step 2:

$(x^2 -14x + 49) + (y^2 + 2y + 1) = 25 + 49 + 1$

But homers step 2 is:

$(x^2 -14x + 49) + (y^2 + 2y + 1) = 25$

So homer has made mistake in this step

When you complete the square, you need to add the values to both sides of equation

But homer did not add 49 and 1 to right side of equation

Correct steps are:

$(x^2 -14x + 49) + (y^2 + 2y + 1) = 75\\\\(x-7)^2 + (y+1)^2 = 75$

Comparing general equation of circle,

$(x-h)^2 + (y-k)^2 = r^2$

Therefore, center is ( 7, -1) and radius is 8.66

8 0

3 years ago

Please help. I need to get this right.

babunello [35]

Answer:

∡SYZ = 34.2°

∡XYZ = 68.4°

Step-by-step explanation:

∡SYZ = 34.2° this must be true because this angle is congruent to ∡XYS

∡XYZ = 68.4° this must be true because ∡XYZ = ∡WYS + ∡SYZ

3 0

2 years ago

Albert sells furniture. His base salary is $300 per week, plus 5.5% commission. If his total sales for last week were $2950, wha

Andreas93 [3]

Answer:

16225

Step-by-step explanation:

You need to multiply

5 0

3 years ago

Help with both questions please

Igoryamba

For the first question the answer is the second option.
For the second question the answer is the first option.

Hope I didn't mess up for your sake

5 0

3 years ago

Read 2 more answers

116 is 35% of what number

Savatey [412]

40.6 is the answer to the problem

5 0

2 years ago