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Veseljchak [2.6K]
2 years ago
8

To show that triangle TRK= triangle TUK by the SAS postulate, what additional information is necessary?

Mathematics
1 answer:
Ivan2 years ago
5 0
From the figure, we already have
RT = UT
and
TK = TK

Since these are already conditions for two sides being congruent, we only need an included angle to be congruent. So, the missing information is 
∠RTK <span>≅ </span>∠<span>UTK</span><span />
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find the value of x2 values that separate the middle 90% from the rest of the distribution for 8 degrees of freedom
Anettt [7]

Answer:

With alpha 0.95 and 8 degrees of freedom χ²= 2.73

And with alpha 0.05 and 8 degrees of freedom χ²=15.51

Step-by-step explanation:

The significance level ∝ = 1- 0.9 = 0.1

But we need the area of the middle so we divide this significance level with 2

so that we get exactly the middle area .

Dividing 0.1/2= 0.05

So we will have two values for chi square

One with  0.9 + 0.05 = 0.95 alpha and one with 0.05 alpha . This is because the chi square is right tailed.

So with alpha 0.95 and 8 degrees of freedom χ²= 2.73

And with alpha 0.05 and 8 degrees of freedom χ²=15.51

This can be shown with a graph.

4 0
3 years ago
3X+9=15<br> WHAT IS THE RESULT?????
Rasek [7]
15 - 9 = 6 6÷3=2 X=2

You do the inverse operation
4 0
3 years ago
Translate to a system of equations:
omeli [17]

Answer:

m + n = 15

m - 3 = n

The numbers are 9 and 6

Step-by-step explanation:

From the question,

The sum of two numbers is fifteen; the first number is m and the second number is n. To translate to a system of equations, we can write that

m + n = 15 ..... (1)

Also, from the question,

One number is three less than the other,

Also, to translate to a system of equations, we can write that

m - 3 = n ...... (2)

If desired, we can determine m and n

From equation (1)

m + n = 15

Then,

m = 15 - n ...... (3)

Put the value of m in equation (3) into equation (2)

m - 3 = n

Then

15 - n - 3 = n

15 - 3 = n + n

12 = 2n

n = 12/2

∴ n = 6

For m, put the value of n into equation 3

m = 15 - n

m = 15 - 6

m = 9

∴ m = 9 and n = 6

Hence, the numbers are 9 and 6

3 0
3 years ago
Quart cartons of milk should contain at least 32 ounces. A sample of 22 cartons was taken and amount of milk in ounces was recor
victus00 [196]

Answer:

32 oz

Step-by-step explanation:

5 0
3 years ago
Find the area of the path, 5 m wide, is surrounded outside the square pond of length 40 m​
frez [133]

Answer:

200 m.

Step-by-step explanation:

Step 1:

Length × Width = Area      Equation

Step 2:

5 × 40      Multiply

Answer:

Area = 200

Hope This Helps :)

8 0
3 years ago
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