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ryzh [129]
3 years ago
12

How do i know when to add or subtract in an angle equation?

Mathematics
1 answer:
madam [21]3 years ago
7 0

Answer:

17

Step-by-step explanation:

< ABD = <ABC + < CBD

Substitute in what we are given

87 = 9x-1 +   6x+58

Combine like terms

87 = 15x +57

Subtract 57 from each side

87-57 =15x +57-57

30 = 15x

Divide by 15

30/15 =15x/15

2=x

We want to find <ABC

<ABC = 9x-1

         = 9*2-1

         =18-1

      =17

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Factor the expression by finding the GCF.
Deffense [45]

Answer:

4m(4m-3)

Step-by-step explanation:

Factor 4m out of the statement because 4 is a factor of both 16 and -12, and m is a factor in m^2 and m.

8 0
3 years ago
A factory produces 90 packages of mixed nuts in 1 min. A quality control manager selected 10 of these 90 packages at random and
valentina_108 [34]
Answer:

34

explanation:

First of all, put the numbers in order

30, 31, 31, 32, 33, 35, 35, 35, 36, 36

Then, find the middle number.
In this case, there is an even amount of numbers so, we have to pick the 2 middle numbers which is 33 and 35.

Now all you have to do is add these two numbers together then divide by 2 which will give you 34.

or, in simpler questions like this one, you can just say 34 as you know it is between 33 and 35.


In other questions, it might have and odd amount of numbers, for example:

3, 3, 5, 8, 10

so all you would do here is pick the middle number which would be 5. (it has 2 numbers on each side of it)
7 0
3 years ago
Find a quadratic polynomial with integer coefficients which has x = 2/9, ± SQRT23/9 as its real zeros.
melomori [17]

Answer:

The quadratic polynomial with integer coefficients is y = 81\cdot x^{2}-36\cdot x -19.

Step-by-step explanation:

Statement is incorrectly written. Correct form is described below:

<em>Find a quadratic polynomial with integer coefficients which has the following real zeros: </em>x = \frac{2}{9}\pm \frac{\sqrt{23}}{9}<em>. </em>

Let be r_{1} = \frac{2}{9}+\frac{\sqrt{23}}{9} and r_{2} = \frac{2}{9}-\frac{\sqrt{23}}{9} roots of the quadratic function. By Algebra we know that:

y = (x-r_{1})\cdot (x-r_{2}) = x^{2}-(r_{1}+r_{2})\cdot x +r_{1}\cdot r_{2} (1)

Then, the quadratic polynomial is:

y = x^{2}-\frac{4}{9}\cdot x -\frac{19}{81}

y = 81\cdot x^{2}-36\cdot x -19

The quadratic polynomial with integer coefficients is y = 81\cdot x^{2}-36\cdot x -19.

5 0
3 years ago
A book sold 39,300 copies in its first month of release. Suppose this represents 6.1% of the number of copies sold to date. How
alexdok [17]

Answer:

644,262 copies

Step-by-step explanation:

Since this is a proportion problem, and we are given three values and one variable which is the total number of copies sold to date (x). Then we can use the Rule of Three to solve this problem. To do this we simply multiply the diagonal values and divide by the last value which would give us the value of the variable x

39,300 copies  <======>  6.1%

    x   copies   <=======>  100%

(100*39,300) / 6.1 = 644,262 copies

Therefore, a total of 644,262 copies have been sold to date.

4 0
3 years ago
11. Set up the rational work application problem. Shelby and Mary started a beading
Arada [10]
The first one might be b or c
3 0
3 years ago
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