The two variables that exhibit a positive direct linear variation are x and y and the equation is y = 6x
<h3>How to give two variables that exhibit a positive direct linear variation.</h3>
A positive direct linear variation is represented as
y = mx
Where
m represents the constant of variation
In this case,
m can be any value greater than 0
Say m = 6
So, we have
y = 6x
Hence, the two variables that exhibit a positive direct linear variation are x and y and the equation is y = 6x
Read more about direct variation at:
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Important:
The sum of the three angles inside
every triangle is always 180°.
First, look at the left triangle alone.
Two of its angles are 46° and 58° . (46° + 58° ) = 104°
That leaves (180° - 104° ) = 76° degrees for the third angle.
The third angle in that triangle is 'x'.
x = 76° .
At the point where 'x' and 'z' come together:
'x' and 'z' are a "linear pair".
Placed side-by-side, they form a straight line.
So (x + z) = 180° .
But x = 76°.
So z = (180° - 76°). z = 104° .
Now look at the the skinny triangle on the right alone.
The angle at the top is 13°, and z = 104°.
(13° + 104°) = 117° .
That leaves (180° - 117°) = 63° for the third angle.
'y' is the third angle.
y = 63° .
(3x+2) (x-7)
FOIL
first 3x*x = 3x^2
outer 3x*-7 = -21x
inner = 2*x = 2x
last 2*-7 = -14
add them together = 3x^2 -21x+2x -14
combine like terms 3x^2 -19x -14
Answer:
No
Step-by-step explanation:
Two triangles are similar if their corresponding angles are congruent and the corresponding sides are in proportion They are the same shape, but not necessarily the same size
Triangle ABC 54 +68 + 58 = 180
Triangle EFG 68 +63 +49 = 180
In this case their corresponding angles are nor congruent
Answer:
12
Step-by-step explanation:
(# of pencils)x(3/4)=9
(# of pencils)x(0.75)=9
(# of pencils)=9/(0.75)=12
