Swimmers best time in event is 53.87 seconds. On average, his best time decreases by 0.28 seconds each of the next five times he
1 answer:
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Option C:
x = 30
Solution:
The given image is a triangle.
angle 1, angle 2 and angle 3 are interior angles of a triangle.
angle 4 is the exterior angle of a triangle.
m∠4 = 2x°, , m∠3 = 20°
Exterior angle theorem:
<em>In triangle, the measure of exterior angle is equal to the sum of the opposite interior angles.</em>
By this theorem,
m∠4 = m∠2 + m∠3
Subtract on both sides of the equation.
To make the denominator same and then subtract.
Multiply by on both sides of the equation.
x° = 30°
x = 30
Hence option C is the correct answer.
Answer:
The nth term of the given sequence tₙ = 3 n - 7
Step-by-step explanation:
Given sequence - 4 , -1 , 2 , 5, 8 , .....
First term a = -4
The difference of two terms of a given sequence
d = -1 - (-4) = -1 +4 = 3
d = 2 - (-1) = 2 +1 = 3
d = 5 -2 = 3
d = 8 - 5 =3
The difference of two terms of a given sequence is equal
∴ The given sequence is in Arithmetic progression(AP)
The nth term of given sequence
<u><em>Final answer:</em></u>-
The nth term of the given sequence tₙ = 3 n - 7