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Answer:
y = 40
Step-by-step explanation:
Lets make an equation to represent the sum of the angles:
We know that the sum of angles of triangles equals 180 degrees. So based on this knowledge, the equation is :
2y + y + 10 + 50 = 180
Now we simplify:
2y + y = 3y
10 + 50 = 60
So our new equation is 3y + 60 = 180
Now all we have to do is simplify:
3y + 60 = 180
3y + 60 -60 = 180 - 60
3y = 120
3y / 3 = 120 / 3
y = 40
So the answer is 40 hope this helped
Example 1
Write y = x2 + 4x + 1 using function notation and evaluate the function at x = 3.
Solution
Given, y = x2 + 4x + 1
By applying function notation, we get
f(x) = x2 + 4x + 1
Evaluation:
Substitute x with 3
f (3) = 32 + 4 × 3 + 1 = 9 + 12 + 1 = 22
Example 2
Evaluate the function f(x) = 3(2x+1) when x = 4.
Solution
Plug x = 4 in the function f(x).
f (4) = 3[2(4) + 1]
f (4) = 3[8 + 1]
f (4) = 3 x 9
f (4) = 27
Example 3
Write the function y = 2x2 + 4x – 3 in function notation and find f (2a + 3).
Solution
y = 2x2 + 4x – 3 ⟹ f (x) = 2x2 + 4x – 3
Substitute x with (2a + 3).
f (2a + 3) = 2(2a + 3)2 + 4(2a + 3) – 3
= 2(4a2 + 12a + 9) + 8a + 12 – 3
= 8a2 + 24a + 18 + 8a + 12 – 3
= 8a2 + 32a + 27
