The measure of a triangle is 180 degrees. In other words the sum of the angles of a triangle is 180 degrees
To solve for x set all of the expressions of angles equal to 180 and isolate x
11x - 3 + 7x + 5 + 13x - 8 = 180
31x + (- 6 + 6) = 180 + 6
31x/31 = 186 / 31
x = 6
To find the measure of each angle plug 6 into the x into each individual expression
Hope this helped!
Answer:
b) y = f(x) = -3x+4
Step-by-step explanation:
<u><em>Explanation</em></u>
Given that the equation 9x+3y =12
Let 'x' be an independent variable and 'y' be the dependent variable then the function is of the form
y = f(x)
3 y = 12 - 9x
y = -3x+4
The function represented by y = -3x+4
Answer: choice D) the slope is 2
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Work Shown:
Pick any two points on the line. I'm going to pick (0,1) and (1,3)
Label these two points as (x1,y1) and (x2,y2).
So,
(x1,y1) = (0,1) meaning that x1 = 0 and y1 = 1
(x2,y2) = (1,3) meaning that x2 = 1 and y2 = 3
Now use the slope formula
m = (y2 - y1)/(x2 - x1)
m = (3-1)/(1-0)
m = 2/1
m = 2
Going from (0,1) to (1,3) we move 2 units up and 1 unit to the right.
The "2 units up" is the "rise"
The "1 unit to the right" is the "run"
Slope = rise/run = (change in y)/(change in x)
The answer is D 1/2
Cos of 60 = 0.5
Which 0.5 as a fraction is 1/2
