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tino4ka555 [31]
3 years ago
14

Help me with my math**50 pts** i mark brainliest**

Mathematics
1 answer:
xenn [34]3 years ago
4 0

Answer:

3) Reflexive Property

4) SAS

Step-by-step explanation:

<h2>ST ≅ TS</h2>

1. The Reflexive Property states that: a quantity is congruent (equal) to itself.

  • Example: a = a  
  • In this case, it could be seen as ST ≅ ST because they have/are the same side(s).
<h2>RST ≅ UTS </h2>

1. SAS theorem states that: two triangles are equal if two sides and the angle between those two sides are equal.

  • Example: RST ≅ UTS (both have S and T)
  • Can be seen as RST ≅ UST as well to make their similarity more evident.

2. Because it is given that RS ≅ UT and RT ≅ US, and it includes the same 2 lines being equal as given/said, RST ≅ UTS because of SAS (theorem).

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8x^-9+(-3x^-3y-2)(5/x^6y-2)
DaniilM [7]

8x^{-9}+(-3x^{-3}y^{-2})(\frac{5}{x^6y^{-2}})

the first step is to deal with the negative exponents, which causes numbers to go to the other side of the fraction

8x^{-9}+(-3x^{-3}y^{-2})(\frac{5}{x^6y^{-2}})

goes to

\frac{8}{x^9}+(\frac{-3}{x^3y^2})(\frac{5y^2}{x^6})

now we can simplify the multiplied terms

\frac{8}{x^9}+(\frac{-15}{x^9})

Now that we have common bases, we can add the 2 fractions together to get

\frac{-7}{x^9}

8 0
3 years ago
Fiona and her friends are playing a game by guessing where a coin will land when it is randomly dropped inside the square shown
Butoxors [25]

i'm 85% certain the answer is C. Fiona is not correct because the coin will definitely land in the white area .

8 0
3 years ago
A person recently read that 84% of cat owners are women. How large a sample should the researcher take if she wishes to be 90% c
Lana71 [14]

Answer:

405

Step-by-step explanation:

To find sample size, use the following equation, where n = sample size, za/2 = the critical value, p = probability of success, q = probability of failure, and E = margin of error.

n=\frac{(z_{\frac{\alpha }{2} })^{2} *p*q  }{E^2}

The values that are given are p = 0.84 and E = 0.03.

You can solve for the critical value which is equal to the z-score of  (1 - confidence level)/2.  Use the calculator function of invNorm to find the z-score.  The value will given with a negative sign, but you can ignore that.

(1 - 0.9) = 0.1/2 = 0.05

invNorm(0.05, 0, 1) = 1.645

You can also solve for q which is 1 - p.  For this problem q = 1 - 0.84 = 0.16

Plug the values into the equation and solve for n.

n =\frac{(1.645)^2*0.84*0.16}{(0.03)^2}\\n= 404.0997333

Round up to the next number, giving you 405.

6 0
3 years ago
What is the square root of 647
mars1129 [50]

Answer:

Step-by-step explanation:

Air pressure is measured in pascals. For a professional American football game, the ball should be inflated to about 90,000 pascals. Scientists studied the effects of air temperature on the pressure inside American footballs by taking these steps:

1. Prepare 100 footballs.

2. Measure each football's air pressure.

3. Divide footballs into 10 groups.

4. Place the groups in different lockers cooled to different air temperatures.

5. After 12 hours, remove the footballs from lockers.

6. Measure each football’s pressure again.

7. Compare the new pressures to the starting pressures.

What two terms best describe the variable "air pressure inside the football" in this experiment?

independent, qualitative

independent, quantitative

dependent, qualitative

dependent, quantitative

5 0
3 years ago
Read 2 more answers
What is the result of subtracting the second equation from the first x-3y=6 and -8x-y=6
oksano4ka [1.4K]

Answer:

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    x-3*y-(6)=0  

Step by step solution :

Step  1  :

Equation of a Straight Line

1.1     Solve   x-3y-6  = 0

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  x-3y-6  = 0 and calculate its properties

Graph of a Straight Line :

 

 

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 2/-1 so this line "cuts" the y axis at y=-2.00000

 y-intercept = 6/-3 = 2/-1  = -2.00000  

Calculate the X-Intercept :

When y = 0 the value of x is 6/1 Our line therefore "cuts" the x axis at x= 6.00000

 x-intercept = 6/1  =  6.00000  

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -2.000 and for x=2.000, the value of y is -1.333. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -1.333 - (-2.000) = 0.667 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE

7 0
3 years ago
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