If (2 − 3i) + (x + yi) = 6, what is x + yi? 4 + 3i 4 − 3i -4 − 3i -4 + 3i 4x + 3i
1 answer:
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The values are x=8 and y=35, if the given ΔABC and ΔDEC are equal, it is obtained by Pythagoras theorem.
Step-by-step explanation:
The given are,
From ΔABC,
AB= 6
BC= 10
AC = x
From ΔDEC,
CD= 28
DE= 21
CE = y
Step:1
Pythagoras theorem from ΔABC,
...............(1)
Substitute the values,
=
+
100 = 36 +
= 100 - 36
= 64
AC =
AC = 8
AC = x = 8
Step:2
Pythagoras theorem for ΔDEC,
................(2)
From the values,
=
+
= 784 + 441
= 1225
CE =
CE = 35
CE = y = 35
Result:
The values are x=8 and y=35, if the given ΔABC and ΔDEC are equal.
26 to nearest year
We require the total of the sums of ages for both groups before calculating the mean for all 16
using mean =
Women
27 = ( cross- multiply )
sum = 9 × 27 = 243
Men
25 = ( cross- multiply )
sum = 7 × 25 = 175
Total sum of all 16 = 243 + 175 = 418
mean = = 26 ( to nearest year )