Find the pattern and identify the next 3 terms in the sequence5, -10, 20...

Mathematics

1 answer:

Marta_Voda [28]2 years ago

6 0

Answer:

-40, 80, -160

Step-by-step explanation:

5(-2)^n-1

where n is the position

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How do you prove theorems behind two parallel lines cut by a transversal?

LenaWriter [7]

The way to do it can be explained like this:
Say AB and CD are the two parallel lines cut by a transversal at E and F respectively.
Then the pairs of alternate interior angles are:
Angle(AEF) and Angle(DFE)
Angle(CFE) and Angle(BEF)
Now lets prove if this is true:
Angle(CFE) +Angle(DFE) = 180
(linear pair)
Also
Angle(CFE) +Angle(AEF) = 180
(Corresponding angles)
Equate the above results:
Angle(CFE) +Angle(DFE) = Angle(CFE) +Angle(AEF)
Angle(DFE) = Angle(AEF)
Happens the same with
Angle(CFE) = Angle(BEF)
Hope this is very useful for you

5 0

2 years ago

At Luther's party she made three balloon poodles and two balloon giraffes Which used a total of 17 balloons for Jessica‘s party

olga55 [171]

Answer:

The redaction does not explain the situation. If we assume that 15 balloons were used to make one ballon poodle and three giraffes, then the answer would be 7,5 balloons for 1 poodle, and 2,5 balloons for a giraffe

Step-by-step explanation:

With 15 balloons we make 1 poodle and 3 giraffes. This means that 7,5 balloons were used to make 1 poodle, and other 7,5 balloons were used to make 3 giraffes.

If we divide 7,5 balloons between 3, we obtain 2,5. This means that with 2,5 balloons we make 1 giraffe

4 0

2 years ago

Five-sixths of a number is 45. Find the number.

tia_tia [17]

Answer: The number is 54!!!

Hope it helps!!!

Step-by-step explanation:

Let's call the number x.

So, 5/6 (of or multiplication) = 45

5x = 45* 6

x = 270/5

x = 54

4 0

2 years ago

Read 2 more answers

find the area of triangle qpm. round the answer to the nearest tenth. a. 5.2 square units b. 6.3 square units c. 6.5 square unit

viva [34]

Pls. see attachment.

We need to solve for the angles of the smaller triangle in order to solve for the angle of the larger triangle which would help us solve the missing measurement of a side.

Given:

51 degrees.

Cut the triangle into two equal sides and it forms a right triangle. All interior angles of a triangle sums up to 180 degrees.

180 – 51 – 90 = 39 degrees

39 degrees * 2 = 78 degrees.

Angle Q is 78 degrees.

In the bigger triangle, 4.3 is the hypotenuse. We need to solve for the measurement of the long leg which is the opposite of the 78 degree angle.

We will use the formula:

Sine theta = opposite / hypotenuse

Sin(78 deg) = opposite / 4.3

Sin(78 deg) * 4.3 = opposite

4.21 = opposite. This is also the height of the triangle.