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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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Find the 88th term of the arithmetic sequence 26, 28, 30,...
ICE Princess25 [194]

Answer:

200

Step-by-step explanation:

Given Arithmetic sequence is: 26, 28, 30,...

First term a = 26

Common Difference d = 2

n = 88

\because t_n=a +(n-1) d \\  \therefore \: t_{88}=26 +(88-1)  \times 2 \\ \therefore \: t_{88}=26 +87  \times 2 \\ \therefore \: t_{88}=26 +174 \\ \huge \red{ \boxed{ \therefore \: t_{88}=200}} \\

4 0
2 years ago
If a cube-shaped cell is 3 units tall by 3 units wide and 3 units long, what is the cell's surface-area-to volume ratio?
bulgar [2K]
The cube has 6 sides, each a square with dimensions 3 by 3, 

the area of any of these squares is 3*3=9 square units.

The total area of the cube is 6*9 square units=54 square units


The volume of a cube with side length a is given by : \displaystyle{ V_{cube}=a^3, thus the volume of the cube-shaped cell is 3*3*3=27 cube units.


(surface area):(volume)=54:27 = 2:1 =2

Answer: 

the ratio of the numerical values is 2

(their ratio including units is 2/unit 
7 0
2 years ago
Find the missing term. () + (7 − 3i) + (5 + 9i) + 13i = 10 − 5i.
kotegsom [21]
X + (7 - 3i) + (5 + 9i) + 13i = 10 - 5i

Subtract 13i from both sides

x + (7 -3i) + (5 + 9i) = 10 - 18i

Subtract (5 + 9i). MAKE SURE YOU SUBTRACT 9i TOO. In other words, distribute the negative and subtract 5 and 9i at the same time.

x + (7 - 3i) = 5 - 27i

Do the same with (7 - 3i). You'll be adding 3i since -(-3i) = 3i.

x = -2 - 24i
5 0
2 years ago
Read 2 more answers
Show all your work. Indicate clearly the methods you use, because you will be scored on the correctness of your methods as well
laiz [17]

Answer:

The  value is  P(A) =  0.133617

Step-by-step explanation:

From the question we are told that

  The  mean is  \mu =  7.5

  The standard deviation is  \sigma  =  0.2

  The safest water level is  between  7.2 and  7.8

Generally the probability that the selected pool has a pH level that is not considered safe is mathematically represented as

       P(A) =  1 - P(7.2 \le X  \le 7.8 )

Here  

      P(7.2 < X  < 7.8 ) = P(\frac{ 7.2 - \mu }{\sigma } <  \frac{X - \mu }{ \sigma }

Generally \frac{X - \mu }{ \sigma } =  Z (The  \ standardized \  value  \  of  X )

So

 P(7.2 < X  < 7.8 ) = P(\frac{ 7.2 - 7.5 }{0.2 } < Z    

 P(7.2 < X  < 7.8 ) = P(-1.5 < Z  

=>  P(7.2 < X  < 7.8 ) = P(Z <  1.5) - P(  Z < - 1.5)

From the z-table the probability of  (Z <  -1.5) and   (  Z <1.5)  are

    P(Z <  1.5) =  0.93319

and  

    P(Z <  -1.5) =  0.066807

So

      P(7.2 < X  < 7.8 ) =0.93319 - 0.066807

       P(7.2 < X  < 7.8 ) =0.0866383

So

   P(A) =  1 - 0.0866383

=>  P(A) =  0.133617

5 0
1 year ago
Chapter 7 of the Jiuzhang suanshu presents a problem of two linear equations involving acres of land and their respective prices
djyliett [7]

Answer: 33.041666

Step-by-step explanation:

Given: The translated equation : 300x+y = 10000

To find the value of x if y = 87.5, we need to substitute the value of y in the given translated equation, we will get

300x+87.5 = 10000

Subtract 87.5 from both the sides , we get

300x=9912.5

Now, divide 300 on both the sides, we get

x=\frac{9912.5}{300}\\\\\Rightarrow x=33.041666666

3 1
1 year ago
Read 2 more answers
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