Answer:
x =39°
the total interior angles of a triangle is 180°
let the unknown angle be x,
solve:
x + 39 + 102 = 180°
x = 180° - 39° - 102°
x = 39°
Therefore the unknown angle is 39°
Answer:
Experimental Study
Step-by-step explanation:
In an experimental study, the researchers involve always produce and intervention (in this case they were asked whether their tendency was to express or to hold in anger and other emotions. The degree of suppression of emotions was rated on a scale of 1 to 10) and study the effects taking measurements.
These studies are usually randomized ie subjects are group by chance.
As opposed to observation studies, where the researchers only measures what was observed, seen or hear without any intervention on their parts.
Answer:
<em>y = (-4/3)*x + 7</em>
<em />
Step-by-step explanation:
The point-slope form of the equation of a line is: <em>y = a*x + b </em>
In the above equation, <em>a </em>is the slope of the line representing the equation in the graph and y is the function of x [y = y(x)]
The given line has a slope of -4/3, so that <em>a = -4/3 </em>
=> The equation of this line has a form as following: <em>y = (-4/3)*x + b (1)</em>
<em />
As the line passes through the point (9; -5) (in which: x = 9; y = -5). Replace x =9 and y = -5 into the equation (1), we have:
<em>y = (-4/3)*x + b</em>
<em>=> -5 = (-4/3)*9 + b </em>
<em>=> -5 = -12 + b </em>
<em>=> b = 7</em>
<em />
So that the equation in point-slope form of the given line is:
<em>y = (-4/3)*x + 7</em>
<em />
Answer:
14.32
Step-by-step explanation:
We can find the distance using the distance formula:
We then substitute (-2,8) as 
and (11,2) as 
.
Answer:
<u>a = 13</u>
Step-by-step explanation:
We should know that: The sum of the interior angles of the triangle = 180°
Given the measure of the angles: (6a - 2) , (5a - 13) and (5a - 13)
So,
(6a - 2) + (5a - 13) + (5a - 13) = 180°
16 a - 28= 180 ⇒ Add 28 to both sides
16 a = 180 + 28 = 208 ⇒ Divide both sides by 16
a = 208/16 = 13
