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Alona [7]
2 years ago
6

Which of the following are exterior angles? Check all that apply.

Mathematics
2 answers:
Helen [10]2 years ago
7 0

An exterior angle of a triangle is an angle formed by one side of the triangle and the extension of an adjacent side of the triangle.

FACTS:

  • Every triangle has 6 exterior angles, two at each vertex.
  • Notice that the "outside" angles that are "vertical" to the angles inside the triangle are NOT called exterior angles of a triangle.

1. Angles 1, 5 and 6 are inteior angles of the given triangle.

2. Angle 3 is vertical to the interior angle 5.

3. Angles 2 and 4 are exterior angles of the triangle.

Answer: correct options are A and B.

alex41 [277]2 years ago
7 0

Answer:

A.\angle 2

B.\angle 4

Step-by-step explanation:

Exterior angle: Exterior angle is that angle which is formed by one side and extended adjacent side of the triangle at out side .

In other words,

We can say that

Exterior angle is that angle which form linear pair with one of the interior angles of the triangle.

It means sum of exterior angle and one of interior angle =180 degrees.

By definition of exterior angle

Angle 4 and angle 2 are exterior angles.

Hence, option A and B are true.

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In your internship with Lewis, Lee, & Taylor Inc. you have been asked to forecast the firm's additional funds needed (AFN) f
Allushta [10]

Answer:

Option B. -$22,000

Step-by-step explanation:

Last year data :

Sales = $200,000

Profit margin = 20%

Total assets = $120,000

Accounts payable = $50,000

Accruals = $20,000

Sales growth rate = 40%

Calculate total increase in total assets :

Increase in total assets = Total assets × Growth rate

                                       = 120,000  × 40%

                                       = $48,000

Calculate increase in spontaneous liabilities :

Increase in spontaneous liabilities = (50,000 + 20,000)  ×  40%

                                                         = $28,000

Calculate increase in retained dividend :

calculate the increase sales :

        increased sales = 200,000 × (1 + 0.40)

                                   = 280,000

calculate profit margin for next year on increase sales :

      Profit margin on increased sales = 280,000 × 20%

                                                             = $56,000

Calculate retained earning :

       Retained earning = profit - payout of profit

                                     = 56,000 - ( 56,000 × 25% )

                                     = 56,000 - 14,000

                                     = $42,000

Calculate AFN :

AFN = Increase in assets - Increase in liabilities - increase in retained earning

       = 48,000 - 28,000 - 42,000

       = -$22,000

Option B. is the answer.

6 0
2 years ago
In a regression analysis of a first-order model involving 3 predictor variables and 25 observations, the following estimated reg
Gekata [30.6K]

Answer:

a. is not found to be significant.

Step-by-step explanation:

Regression analysis is a statistical technique which is used for forecasting. It determines the relationship between two variables. It determines the relationship of two or more dependent and independent variables. It is widely used in stats to find trend in the data. It helps to predict the values of dependent and independent variables. In the given question, there are 25 observations and the regression equation is given. X and Y are considered as dependent variables.

3 0
2 years ago
What number should be placed in the spot presently filled with the X? Finished Product A 1 2 3 4 Gross Requirements (i.e. demand
crimeas [40]

Answer:

Below mentioned is the answer.

Step-by-step explanation:    

Finished Product A                   1 2 3 4

Gross Requirements                        20 20 50 30

Scheduled Receipts                    25  

Planned Delivery                             0  

Projected on Hand Inventory 30 10 15 40 10

Planned Order Release                   0    

safety stock                                  10    

3 0
2 years ago
Alexander's dividing oranges into eighths he has 5 oranges.how many eights will be have
Veseljchak [2.6K]
Ther will be 40 eights. Hope this helps!
7 0
2 years ago
Read 2 more answers
The first term of a finite geometric series is 6 and the last term is 4374. The sum of all the term os 6558. find the common rat
Oliga [24]

A geometric series is written as ar^n, where a is the first term of the series and r is the common ratio.

In other words, to compute the next term in the series you have to multiply the previous one by r.

Since we know that the first time is 6 (but we don't know the common ratio), the first terms are

6, 6r, 6r^2, 6r^3, 6r^4, 6r^5, \ldots.

Let's use the other information, since the last term is 4374 > 6, we know that r>1, otherwise the terms would be bigger and bigger.

The information about the sum tells us that

\displaystyle \sum_{i=0}^n 6r^i = 6\sum_{i=0}^n r^i = 6558

We have a formula to compute the sum of the powers of a certain variable, namely

\displaystyle \sum_{i=0}^n r^i = \cfrac{r^{n+1}-1}{r-1}

So, the equation becomes

6\cfrac{r^{n+1}-1}{r-1} = 6558

The only integer solution to this expression is n=6, r=3.

If you want to check the result, we have

6+6*3+6*3^2+6*3^3+6*3^4+6*3^5+6*3^6 = 6558

and the last term is

6*3^6 = 4374

7 0
1 year ago
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