Answerc:
Step-by-step explanation:
Answer:
d. 
Step-by-step explanation:
![\displaystyle [3 + i]^2 = [3 + i][3 + i] = 9 + 6i + i^2 → 9 + 6i - 1 → 6i + 8](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5B3%20%2B%20i%5D%5E2%20%3D%20%5B3%20%2B%20i%5D%5B3%20%2B%20i%5D%20%3D%209%20%2B%206i%20%2B%20i%5E2%20%E2%86%92%209%20%2B%206i%20-%201%20%E2%86%92%206i%20%2B%208)
Therefore, the d-value is 6.
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![\displaystyle \sqrt{-1} = i \\ -1 = i^2 \\ -i = i^3 \\ 1 = i^4\:[every\:multiple\:of\:4]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Csqrt%7B-1%7D%20%3D%20i%20%5C%5C%20-1%20%3D%20i%5E2%20%5C%5C%20-i%20%3D%20i%5E3%20%5C%5C%201%20%3D%20i%5E4%5C%3A%5Bevery%5C%3Amultiple%5C%3Aof%5C%3A4%5D)
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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.
Part A:SA = 3.14(rs + r^2)SA = 3.14((2)(3) + (2)^2)
Part B:SA = 3.14((2)(3) + (2)^2)SA = 3.14(6 + 4)SA = 3.14(10)SA = 31.4SA = 31.4 units^2