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Ugo [173]
1 year ago
7

The steps for inscribing a circle in a triangle are shown:Step 1Construct the perpendicular bisector of one angle of the triangl

e.Step 2Construct the angle bisector of another angle of the triangle.Step 3Indicate the point of intersection of the bisectors with a point representing the center of the circle.Step 4Construct a perpendicular line from the center to a side of the triangle.Step 5Place the compass on the center, adjust its length to where the perpendicular line intersects a side of the triangle, and draw your inscribed circle.Which step is incorrect, and how can it be fixed?
Mathematics
1 answer:
nevsk [136]1 year ago
6 0

Solution

- The correct steps for drawing a circle in a triangle are given below:

1. Bisect one of the angles

2. Bisect another angle

3. Where they cross is the center of the inscribed circle, called the incenter

4. Construct a perpendicular from the center point to one side of the triangle

5. Place compass on the center point, adjust its length to where the perpendicular crosses the triangle, and draw your inscribed circle!

- Based on these steps above and comparing them with the steps given in the question, every step given in the question is correct except Step 1.

- Step 1 given in the question, says we should construct a perpendicular bisector of one angle in the triangle. This is not correct because of the use of perpendicular bisector. This is only used for bisecting lines, not angles.

Final Answer

The answer is Step 1

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lakkis [162]

We need to satisfy the following equations:

x*y = 13

x + y = -14

Isolating x from the first equation,

x = -14 - y

Substituting this result into the first equation,

(-14 - y)*y = 13

-14y- y*y = 13

-y² - 14y - 13 = 0

Using the quadratic formula,

\begin{gathered} y_{1,2}=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a} \\ y_{1,2}=\frac{14\pm\sqrt[]{(-14)^2-4\cdot(-1)\cdot(-13)}}{2\cdot(-1)} \\ y_{1,2}=\frac{14\pm\sqrt[]{144}}{-2} \\ y_1=\frac{14+12}{-2}=-13 \\ y_2=\frac{14-12}{-2}=-1 \end{gathered}

Therefore, the solution is:

7 0
1 year ago
Aaliyah is a salesperson who sells computers at an electronics store. She makes a base
hjlf

Answer:

P=1.25x+70

Step-by-step explanation:

So we know that Aaliyah earns $1.25 commission for every computer she sells. No matter what, she will make $70 per day, so that would be our constant. The $1.25 would be our independent variable since it can change depending on the amount of computers x she sells. Therefore, our equation is:

P=1.25x+70

P represents the total pay, 1.25x represents the total commission for x computers, and the 70 is the base pay.

And we're done!

6 0
3 years ago
Help me please I really don’t understand:(
stich3 [128]

Answer:

Step-by-step explanation:First one is 2

3 0
3 years ago
What to multiply 2/3 by
LenKa [72]
You will do 60/2 to = 30 because the ratio of peaches to cherries is 2:3 and they need to have a unknown number of peaches lets say thats “x” therefore 60/2=x ,x=30 cups of peaches
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3 years ago
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HACTEHA [7]

Answer:

7/5

Step-by-step explanation:

To solve this problem we will use the formula to find the slope of a line given two points (x₁, y₁), (x₂, y₂)

The formula is:

m= \frac{y{_2} -y_{1}}{x_{2}-x_{1}  } \\\\

So, we're going to use the points (2,5), (-3, -2) in this formula.

m= \frac{-2-(5)}{-3-(2)} \\m=\frac{-2-5}{-3-2}\\m=\frac{-7}{-5} \\m=\frac{7}{5}

Therefore, the slope is 7/5

8 0
3 years ago
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