In order to determine the value of x, consider that one of the interior angles of the triangle is given by:
180 - (4x - 18)
= 180 - 4x + 18
= 198 - 4x
Next, consider that the sum of the interioir angles of a triangle is equal to 180:
(2x + 6) + 36 + (198 - 4x)
= 2x + 6 + 36 + 198 - 4x
= -2x + 240
this is equal to 180:
-2x + 240 = 180
-2x = 180 - 240
-2x = -60
x = 60/2
x = 30
Hence, the value of x is x = 30
Answer: henrik has 320 potatoes in al
Step-by-step explanation:. Henrick has 3x as many as derek when you here times you multiply. derek has 49x3 equals 147 but henrik has 173 extra potatoes 147+173 equals 320
Answer:
Step-by-step explanation:
Given that you have been discussing a research project with your friend Connor. Connor has told you that his research hypothesis states, the mean of population 1 is not equal to the mean of population 2.
So our null hypothesis should be
This is a two tailed test
How we write in symbols is shown in Ha as above.
not equal to sign is used here to represent.
Answer:
Least common multiple (x-3) ( x+5) (x +4 ).
Step-by-step explanation:
Given : x² + x – 12 and x² + 2x – 15.
To find : Find the least common multiple.
Solution : We have given that : x² + x – 12 and x² + 2x – 15.
First : x² + x – 12
On factoring x² + 4x-3x – 12.
Taking common x (x +4 ) -3( x+4 )
(x -3 ) (x +4 )
For : x² + 5x -3x – 15.
Taking common x (x+5) -3( x +5)
(x-3) ( x+5)
Therefore, Least common multiple (x-3) ( x+5)(x +4 ).
Answer:
Step-by-step explanation:
Let the distance be 
and the time be 
.
It was given that the distance, , varies directly as the square of the time , we write the proportional relation,
.
, where 
is the constant of variation.
It was also given that, 
, when 
.
Now the equation of variation becomes;
When, 
, 
The object will travel 301865 feet in 55 seconds.
