Answer: B. Line AC is congruent to line BD
Step-by-step explanation:
The Hypotenuse-Leg Theorem states that two right triangles are congruent if and only if the hypotenuse and a leg of one right triangle are congruent to the hypotenuse and a leg of the other right triangle.
Since they both share Leg DC, their hypotenuse should be congruent to use this proof.
1. Find the total number of class members
9 + 11 = 20
2. Find 9 as a percentage of 20
9 / 20 = 0.45
0.45 x 100 = 45%
<u>45% of the class are girls.</u>
1 pound = 16 ounces
So we have 85 lbs and 2 oz, that is if we convert them to ounces:
85(16) + 2 = 1362 oz
so we have 1362 oz total due to the conversion factor stated above, now we only need to divide:
1362/6 = 227
that is 227 oz
or if we want the result in pounds (lbs), we can by dividing again by 16
227/16 = 14.19 lbs
Answer:
add, subtract, multiply and divide complex numbers much as we would expect. We add and subtract
complex numbers by adding their real and imaginary parts:-
(a + bi)+(c + di)=(a + c)+(b + d)i,
(a + bi) − (c + di)=(a − c)+(b − d)i.
We can multiply complex numbers by expanding the brackets in the usual fashion and using i
2 = −1,
(a + bi) (c + di) = ac + bci + adi + bdi2 = (ac − bd)+(ad + bc)i,
and to divide complex numbers we note firstly that (c + di) (c − di) = c2 + d2 is real. So
a + bi
c + di = a + bi
c + di ×
c − di
c − di =
µac + bd
c2 + d2
¶
+
µbc − ad
c2 + d2
¶
i.
The number c−di which we just used, as relating to c+di, has a spec
