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bekas [8.4K]
3 years ago
13

Tell whether the statement is always, sometimes, or never true. Explain.

Mathematics
2 answers:
Nastasia [14]3 years ago
8 0

Answer:

1) Sometimes

2) Never

Step-by-step explanation:

1) you could have two angles add up to 180 degrees and one of them could be less than 90

example, x = 140° and y = 40°

2) if two angles are complementary then their sum is 90° so neither angle must be less than 90°, thereby making them both acute angles

Andrews [41]3 years ago
7 0

Answer:

1. If x and y are supplementary angles, then y is sometimes acute because supplementary angles are angles that add up to 180 degrees. So, y can be acute while x can be obtuse, y can be obtuse while x can be acute, or both can be right angles.

2. If x and y are complementary angles, then x is never obtuse. Complementary angles are angles that add up to 90 degrees, and obtuse angles are angles over 90 degrees, so it's impossible to have an obtuse angle as a complementary angle.  

Step-by-step explanation:

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6 times the sum of 3 consecutive odd intergers is -18
Lyrx [107]
The answer: The 3 (three) consecutive odd integers are: -3, -1, 1.
_____________________________________________
Explanation:
_______________
To represent 3 (three consecutive odd integers):
____________________________________
Let "x" be the first odd integer.
____________________________________
Let "(x+2)" be next consecutive odd integer.
____________________________________
Let "(x+4") be the third odd integer.
____________________________________
The sum of these three consecutive odd integers:
__________________________________________
x + (x + 2) + (x + 4) = x + x + 2 + x + 4 = 3x + 6 ;
_________________________________________
Six ("6") times the sum of these 3 (three) consecutive odd integers =
_________________
6*(3x+6) = 6(3x + 6) = -18 (as given in the problem).
_____________________________________________
Given: 6(3x + 6) = -18 ; We can divide EACH SIDE of the equation by "6", to cancel the "6" on the left-hand side into a "1"; 
__________________________________________
{6(3x + 6) } / 6 = -18 / 6 ;  to get:
________________________________________
3x + 6 = -3 ; Now, we can subtract "6" from EACH SIDE of the equation:
__________________________________
3x + 6 - 6 = -3 - 6 ; to get:
__________________________________
3x = -9 ; Now, we can divide EACH SIDE of the equation by "3"; to isolate "x" on one side of the question; and solve for "x" ;
___________________________________
3x / 3 = -9 / 3 ;  x = - 3 ;
_____________________
Remember, from above:
__________________________
Let "x" be the first odd integer.  We know that "x = -3".
         Is this an odd integer? Yes!
____________________________________
Let "(x+2)" be next consecutive odd integer.  So (x+2) = (-3+2) = -1.
        Is this an odd integer? Yes!  Is this "{-1}" the next consecutive odd integer with respect to "{-3}"? Yes!
____________________________________
Let "(x+4") be the third odd integer. So (x+4) = (-3+4) = 1.
       Is this an odd integer? Yes!  Is this "{1"} the next consecutive odd integer with respect to "{-1}"? Yes!
___________________________
So, our 3 (three) consecutive odd integers are: -3, -1, 1.
___________________________
To check our work: Is 6 times the sum of our 3 consecutive odd integers, equal to "(-18)" ?

The sum of our 3 consecutive odd integers = -3 + (-1) + 1 = -3 - 1 + 1 = -3.

6 * -3 = ? -18? Yes!
___________________________





3 0
2 years ago
³√73-(-3)², calculate the value​
Vitek1552 [10]
The value of this equation is: 4
Answer: 4
6 0
3 years ago
We are going to sell Harlem Sweatshirts to raise money for
son4ous [18]

Answer:

32 sweatshirts

Step-by-step explanation:

profit per sweatshirt 28-13=$15

475/15=31.66667

3 0
3 years ago
Points Possible: 1, Points Correct: 0 Given the equation y = x + 9, what is the y -intercept?
-Dominant- [34]

Answer:

9

Step-by-step explanation:

The equation says y = x + 9

Therefore, y = 9 since x = 0 on the y axis.

Picture of graph also attached :)


8 0
3 years ago
Need help... help me
elena-s [515]
It’s 270 I believe good luck tho
5 0
2 years ago
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