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Harrizon [31]
2 years ago
15

James is constructing a circle circumscribed about a triangle. He has partially completed the construction, as shown below. What

should be his next step in the construction?.
Mathematics
1 answer:
Nadya [2.5K]2 years ago
8 0
Answer
From the construction that James is doing the
next step that he should take would be: Use the
circumcenter to determine the center of the
circle.
How to construct a circle from a triangle
In order to construct a circle for the triangle, one
would have to find the perpendicular bisector of
all sides of the triangle.
From the established circumcenter, a pair of
compass would be used to contruct the circle.
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slavikrds [6]
Yes...? I think so. I might not be right
7 0
3 years ago
Can anyone help me find the coordinates (?,?) given that the shape is a parallelogram? (15 points)
xxTIMURxx [149]

The missing coordinates of the parallelogram is (m + h, n).

Solution:

Diagonals of the parallelogram bisect each other.

Solve using mid-point formula:

$\text{Midpoint} =\left( \frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}\right  )

Here x_1=m, y_1=n, x_2=h, y_2=0

              $=\left( \frac{m+h}{2}, \frac{n+0}{2}\right  )

$\text{Midpoint} =\left( \frac{m+h}{2}, \frac{n}{2}\right  )

<u>To find the missing coordinate:</u>

Let the missing coordinates by x and y.

Here x_1=0, y_1=0, x_2=x,  y_2=y

$\text{Midpoint}=\left( \frac{0+x}{2}, \frac{0+y}{2}\right  )

$\left( \frac{m+h}{2}, \frac{n}{2}\right  )=\left( \frac{0+x}{2}, \frac{0+y}{2}\right  )

$\left( \frac{m+h}{2}, \frac{n}{2}\right  )=\left( \frac{x}{2}, \frac{y}{2}\right  )

Now equate the x-coordinate.

$ \frac{m+h}{2}=\frac{x}{2}

Multiply by 2 on both sides of the equation, we get

m + h = x

x = m + h

Now equate the y-coordinate.

$\frac{n}{2} =  \frac{y}{2}

Multiply by 2 on both sides of the equation, we get

n = y

y = n

Hence the missing coordinates of the parallelogram is (m + h, n).

5 0
3 years ago
Josie simplified an expression as shown below. In which step did Josie make mistake(s)?
Andreas93 [3]

Answer:

D. Step 1 only.

Step-by-step explanation:

Here, Josie didn't use the distributive property correctly. The other two steps are still right, so D is correct.

How it should have been done:

x + 3 + 7x(x - 5)

<em>Use the distributive property to multiply 7x by x - 5.</em>

x + 3 + 7x² - 35x (The boldened part is what should have happened for Step 1)

<em>Combine x and -35x to get -34x.</em>

7x² - 34x - 3 is what the earlier equation should be simplified to.

6 0
3 years ago
1/3 (x – 10) = -4, x =
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Answer:

Step-by-step explanation:

Divide both sides by 1/3, which is equivalent to mulitplying by 3

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