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 : AB and DE are the secants
Explanation: Because they both intersect the circle in exactly 2 points
1) Formula: area = height * base / 2
2) Call x the height:
height = x
base = 2x
3) State the equation:
(x)(2x) = 49 in^2
4) Solve the equation:
2x^2 = 49 in^s
x^2 = (49/2) in^2
x = √(49/2) in
x = 7√2 / 2 in = 3.5 √2 in
5) Solution:
height = 3.5 √2 in and base = 7√2 in
6) Verification: area = (7√2 in) (3.5√2 in) = 49 in^2
Answer: height = 3.5√2 in and base = 7√2 in.
Your question appears to be phrased incorrectly. If the ratio of soccer players to football players is 4:1 then for every 1 football player there are 4 soccer players. For example, if there are 3 football players, there would be 12 soccer players.
The equivalent expression would be S = 4F
The statement: "there are 4 more soccer players than football players" is not the same thing. It simply means that we add 4 to the total of football players to find out how many soccer players there are.
The equivalent expression would be S = F + 4
That being said: An equivalent ratio to 4:1 would be 8:2 , 12:3, 16:4, ...
Think of the ratio as a fraction. 4:1 = 4/1
4/1 = 8/2 = 12/3 = 16/4 ..., etc.
Answer:
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Step-by-step explanation:
f(x) = 2x + 4
g(x) = 4x² + 1
In order to find (g ∘ f)(0) we must first find
(g ° f )(x)
To find (g ° f )(x) substitute f(x) into g(x) that's for every x in g(x) replace it with f(x)
That's
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We have
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Now to find (g ∘ f)(0) substitute the value of x that's 0 into (g ∘ f)(0)
We have
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We have the final answer as
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Hope this helps you