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EastWind [94]
2 years ago
6

How might you prove your observations about the slope of a midsegment in part d using algebra and x- and y-coordinates? Briefly

outline an approach using what you know about midpoints and parallel lines. Use the figure you created in GeoGebra to guide you.
Mathematics
2 answers:
ioda2 years ago
4 0

Answer: I can use variables to represent the coordinates of the vertices for a general triangle ABC. then I can calculate the midpoints of the sides in terms of the same variables, and calculate the slope of each midsegment showing that the expression for the slope of a midsegment is the same as the expression for the slope of the third side of the triangle proves that the two are parallel.

Step-by-step explanation: this is word for word btw!

Lesechka [4]2 years ago
3 0

Answer:

Answer: I can use variables to represent the coordinates of the vertices for a general triangle ABC. then I can calculate the midpoints of the sides in terms of the same variables, and calculate the slope of each midsegment showing that the expression for the slope of a midsegment is the same as the expression for the slope of the third side of the triangle proves that the two are parallel.

Step-by-step explanation: this is word for word btw!

Step-by-step explanation:

THANKS U PLATO

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Which of the following are exterior angles? Check all that apply.
choli [55]

Answer:

<h3>A. C. E. F.</h3><h3>That is, 2, 3, 5 and 6.</h3>

Step-by-step explanation:

In geometry, <em>exterior angles are any angle place between any side of a shape and a line extended from the next side</em>, as the figure shows.

As you can see, angle 2 and 3 are formed by a side of the triangle and an extended line from the next side. Similarly, angles 5 and 6 are formed the same way. Therefore, those four  are exterior angles.

8 0
2 years ago
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Four sisters bought a present for their mother. They received a 10% discount on the original price of the gift. After the discou
Orlov [11]

Answer:

$40

Step-by-step explanation:

x is the original price of the gift

(10% of x) is the value of the discount

(10% of x) = 10/100 . x = 0.1 x

0.1 x    is the value of the discount

x - (10% of x) is what was paid, after the discount

x - 0.1 x = 0.9 x

0.9 x    is what was paid

4 children paid $9/each

4 times $9 = $36

$36 is the total amount that was paid by the children

$36 = 0.9 x

$36 / 0.9 = x

x = $36 / 0.9 = 360 / 9

x = 40

;-)

4 0
2 years ago
The general form of the equation of a circle is x2 + y2 + 42x + 38y − 47 = 0. The equation of this circle in standard form is .
Readme [11.4K]

Answer:

(-21,-19)

\sqrt{849}

Standard form

Step-by-step explanation:

We are given the equation of circle

x^2+y^2+42x+38y-47=0

General equation of circle:

x^2+y^2+2gx+2fy+c=0

Centre: (-g,-f)

Radius: \sqrt{g^2+f^2-c}

Compare the equation to find f, g and c from the equation

g\rightarrow 21

f\rightarrow 19

c\rightarrow -47

Centre: (-21,-19)

Radius (r) =\sqrt{21^2+19^2+47}=\sqrt{849}

Standard form of circle:

(x+21)^2+(y+19)^2=849

The centre of circle at the point (-21,-19) and its radius is \sqrt{849}.

The general form of the equation of a circle that has the same radius as the above circle is standard form.

4 0
2 years ago
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9 out of 10 people at a game are rooting for the home team. What is the probability that exactly 6 of 8 people sitting together
scZoUnD [109]

A random supporter roots the home team with probability 0.9, and the away team with probability 0.1.

Choosing 6 out of 8 supporters who root for the home team has probability

\displaystyle\binom{8}{6}\cdot 0.9^6\cdot 0.1^2 = 28\cdot0.531441\cdot 0.01=0.14

7 0
2 years ago
What is the unit price of 8 mugs for $38.32
jarptica [38.1K]

Answer:

4.79$ for each mug

Step-by-step explanation:

38.32/8 = 4.79 and to double-check do 4.79*8

8 0
1 year ago
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