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qaws [65]
3 years ago
12

................................................

Mathematics
1 answer:
Tpy6a [65]3 years ago
3 0

Answer:

75.8°

Step-by-step explanation:

x + x + 28.4° = 180°{ being linear pair }

2x = 180° - 28.4°

2x = 151.6°

x = 75. 8°

Hope it will help :)

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Suppose an angle α is drawn in standard position. In each case, use the information to determine what quadrant α is in.
cupoosta [38]
Since <span> sin(α) > 0 and cos(α) > 0
so </span><span>α is IN THE FIRST QUADRANT  (I)</span>
4 0
3 years ago
A bag contains 24 coins. Some of these are 10 cent coins and all of the others are 5 cent coins.
zysi [14]

Step-by-step explanation:

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6 0
3 years ago
What is the sum of 3 consecutive odd integers is -39
trapecia [35]
Answer: The three consecutive odd integers are:  -15, -13, and -11 .
_______________________________________________________
Explanation:
_____________________________________________
  x + (x + 2) + (x + 4) = -39 ;
_____________________________________________
 in which "x" is one of the integers, 
           "(x + 2)" is the next consecutive odd integer;
           "(x + 4)"  is the third consecutive odd integer.
__________________________________________
By solving for "x", we can solve for each of three (3) consecutive odd integers.
________________________________________________________
     x + (x + 2) + (x + 4) = -39  ;
_________________________________________________________
          1x + 1x + 2 + 1x+ 4 = -39 ;
_____________________________________________________  
                   3x + 6 = -39 ;
______________________________________________
               Subtract  "6" from EACH side of the equation:
______________________________________________
                    3x + 6 − 6  =  -39 <span>− 6 ;
____________________________________________________
        to get:   3x = -45 ;
____________________________________________________
           Divide EACH side of the equation by "3" ;
____________________________________________________
                 3x / 3 = -45 / 3 ;
_____________________________________________________
        to get:   x = -15 ;
______________________________________________________
     x + 2 =  -15 + 2 = -13 ;
_______________________________________________________
     x + 4 =  -15 + 4 =  -11 .
___________________________________________________
Are: -15, -13, and -11 ;  Consecutive odd integers?  YES!
___________________________________________________
Does:  -15 + (-13) + (-11)  =? = -39 ??
_____________________________________________________
           -15 </span>− 13 <span>− 11 = ? 39 ??  YES!
____________________________________________________
Answer: The three consecutive odd integers are:  -15, -13, and -11.
_______________________________________________________</span>
4 0
3 years ago
Hi!! please answer he questions below using inverse operations! (if you show work i will give you brainiest!)
solniwko [45]

Answer:

13) 90-18 = 72

14) 108/9 = 12

15) 66+34 = 100

16) 7*8 = 56

Step-by-step explanation:

All you need to do is take the second term of each equation and move it to the other side. So for number 16 we just need to move the 8 from the left to the right. This is as simple as multiplying both sides by 8 to get:

8*(56/8) = 8(7)

     |

    V

56 = 8*7

And that would be the answer to number 16!

5 0
3 years ago
What is the difference between the mean and the median of the data set? {22, 8, 10 ,18 ,12, 20} 0 2 4 6
NikAS [45]

Answer:

Option A - 0

Step-by-step explanation:

Given : Data set {22, 8, 10 ,18 ,12, 20}

To find : What is the difference between the mean and the median of the data set?

Solution :

Data set in increasing order {8, 10 ,12,18, 20,22}

Mean is defined as the division of sum of set values by total number of values.

M=\frac{\sum x}{n}

Substitute the values we get,

M=\frac{8+10+12+18+20+22}{6}

M=\frac{90}{6}

M=15

So, The mean of the set is 15.

Median of even numbers is the average of two middle terms.

m=\frac{3rd+4th}{2}

m=\frac{12+18}{2}

m=\frac{30}{2}

m=15

So, The median of the set is 15.

Now, The difference of the mean and the median of the set is

d=M-m

d=15-15

d=0

Therefore,Option A is correct.

The difference of the mean and the median of the set is 0.

5 0
3 years ago
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