Answers and Step-by-step explanations:
9-18.
a) All the angles of a triangle add up to 180, by definition. So, we can write the expression: 30 + 115 + x = 180.
Then, we can just solve for x by subtracting 30 and 115 from both sides:
x = 180 - 115 - 30 = 35 degrees
b) Again all three angles should add up to 180, so:
x + x + x = 180 ⇒ 3x = 180 ⇒ x = 180/3 = 60 degrees
9-19.
a) These angles add up to 180:
2x + x + 30 = 180 ⇒ 3x + 30 = 180 ⇒ 3x = 150 ⇒ x = 50
2x = 50 * 2 = 100
The missing angles are 100 degrees and 50 degrees.
b) Again, these add up to 180:
x + 10 + x + 90 = 180 ⇒ 2x + 100 = 180 ⇒ 2x = 80 ⇒ x = 40
x + 10 = 40 + 10 = 50
The missing angles are 50 degrees and 40 degrees.
Hope this helps!
Answer:
easy
Step-by-step explanation:oklook
Answer:
g(x) = 
Step-by-step explanation:
Exponential function 'g' that can be written as g(x) = a.bˣ
From the graph attached,
Graph of the function passes through two points (0, 9) and (1, 3)
g(0) = a.b⁰
9 = a
Similarly, g(1) = a.b¹
3 = a.b
3 = 9(b)
b = 
Therefore function will be,
g(x) =
The equation is y=-5x + 20, x being the hours that go by after 5pm.
