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Marianna [84]
3 years ago
8

Which theorem can be used to prove that the triangles in the figure below are congruent?

Mathematics
1 answer:
Minchanka [31]3 years ago
6 0

Answer:

There are 5 theorem to prove the triangles are congruent. They are:

  • SSS
  • SAS
  • ASA
  • RHS

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The mean of six numbers is 41. If one number is removed, the mean of the five numbers is 46. Find the unknown number.
klasskru [66]
Let n be the sum of all 6 numbers:

In the 1st case n/6 = 41 ==> n =246

in the 2nd case n'/5 = 46===> n' =230, the unknown number is n-n' =246-230

= 16
5 0
3 years ago
What are the zeros of the function below? Check all that apply.
galina1969 [7]

Answer:

x = 3 or x = 2 or x = -1 or x = -5

Step-by-step explanation:

Solve for x:

((x - 3) (x - 2) (x + 1) (x + 5))/x = 0

Multiply both sides by x:

(x - 3) (x - 2) (x + 1) (x + 5) = 0

Split into four equations:

x - 3 = 0 or x - 2 = 0 or x + 1 = 0 or x + 5 = 0

Add 3 to both sides:

x = 3 or x - 2 = 0 or x + 1 = 0 or x + 5 = 0

Add 2 to both sides:

x = 3 or x = 2 or x + 1 = 0 or x + 5 = 0

Subtract 1 from both sides:

x = 3 or x = 2 or x = -1 or x + 5 = 0

Subtract 5 from both sides:

Answer:  x = 3 or x = 2 or x = -1 or x = -5

8 0
3 years ago
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What is another way to find the total cost of a pair of shoes for $57 with a sales tax of 2%?
Evgesh-ka [11]
57 x .02 will get the right answr
4 0
3 years ago
Two values of x that are roots of xsquared+2x-6=0
xz_007 [3.2K]

The two values of x are

1.65 , -3.65

7 0
3 years ago
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Mr. Mole left his burrow and started digging his way down at a constant rate.
Art [367]

Mr. Mole's burrow was at an altitude of 6 meters below the ground.

Step-by-step explanation:

Step 1:

We need to determine the distance that Mr. Mole covers in a single minute.

To do that we divide the difference in values of altitude by the difference in the time periods.

For the first case, Mr. Mole had traveled -18 meters in 5 minutes.

We also have, he traveled -25.2 meters in 8 minutes.

Step 2:

The distance he covered in 1 minute = \frac{-25.2-(-18)}{8-5} = \frac{-25.2+18}{3},

\frac{-25.2+18}{3} = \frac{-7.2}{3} = -2.4.

So with every minute, Mr. Mole digs down an additional 2.4 meters below the surface.

To determine where Mr. Mole's burrow is we subtract the distance traveled in 5 minutes from -18.

The altitude of Mr. Mole's burrow = -18 - 5(-2.4) = -18+12 = -6.

So Mr. Mole's burrow was at an altitude of 6 meters below the ground i.e. -6 meters.

5 0
3 years ago
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