What does x equal? Please help. No trolls
1 answer:
Answer:
The value of 'x' is 17.
Step-by-step explanation:
Given:
Δ IJK ≅ ΔPQR
m∠I = 3x + 4
m∠P = 72 - x
To Find:
x = ?
Solution:
Δ IJK ≅ ΔPQR ...........Given
If two triangles are congruent then the corresponding angles of congruent triangles are congruent.
∴∠ I ≅ ∠ P ........corresponding parts of congruent triangle (CPCT)
Substituting the values we get
The value of 'x' is 17.
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Answer:
The maximum distance traveled is 4.73 meters in 0.23 seconds.
Step-by-step explanation:
We have that the distance traveled with respect to time is given by the function,
.
Now, differentiating this function with respect to time 't', we get,
d'(t)=9.8t-2.3
Equating d'(t) by 0 gives,
9.8t - 2.3 = 0
i.e. 9.8t = 2.3
i.e. t = 0.23 seconds
Substitute this value in d'(t) gives,
d'(t) = 9.8 × 0.23 - 2.3
d'(t) = 2.254 - 2.3
d'(t) = -0.046.
As, d'(t) < 0, we get that the function has the maximum value at t = 0.23 seconds.
Thus, the maximum distance the skateboard can travel is given by,
.
i.e. .
i.e. .
i.e. .
i.e. d(t) = 4.73021
Hence, the maximum distance traveled is 4.73 meters in 0.23 seconds.