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Daniel [21]
3 years ago
12

State whether the angles are complementary, supplementary, or neither.

Mathematics
1 answer:
PolarNik [594]3 years ago
5 0
B. supplementary

The measures of supplementary angles add up to 180 degrees.
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Perform the indicated operations. Write the answer in standard form, a+bi.<br> (5 + 6i)(5 - 6i)
lubasha [3.4K]

\boxed{\underline{\bf \: ANSWER}}

\sf \: ( 5 + 6 i ) ( 5 - 6 i )

Multiply complex numbers 5+6i and 5-6i in the same way as you multiply binomials.

\dashrightarrow \sf 5\times 5+5\times \left(-6i\right)+6i\times 5+6\left(-6\right)i^{2}

By definition, i² is -1.

\dashrightarrow \sf 5\times 5+5\times \left(-6i\right)+6i\times 5+6\left(-6\right)\left(-1\right)

Do the multiplications.

\dashrightarrow \sf \: 25-30i+30i+36

Now cancel -30i & +30i

\dashrightarrow \sf \: 25 \:  \bcancel{- 30i}  \:  +  \: \bcancel{30i}+36

Now the equation becomes

\dashrightarrow \sf \: 25 \:  + 36 \\ \dashrightarrow  \boxed{\bf \: 61}

________

Hope it helps.

ŕάίήвόώşάĻţ2²2²

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3 years ago
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50*50+60+90+40-60-43-89-30-34+12​
tensa zangetsu [6.8K]
The answer is 2446.
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Two standard 6 sided dice are rolled. One is purple and one is green. What is the probability that sum of the two dice on a roll
lana [24]

Answer:

1/6

Step-by-step explanation:

As the purple die has already rolled and the number landed is 6, to find the probability of the sum of the dice being 7, there is only one option for the yellow die:

purple result + yellow result = 7

6 + yellow result = 7

yellow result = 1

So the yellow die needs to roll a 1, over a total of 6 possibilities, so the probability is 1/6

5 0
3 years ago
25 POINTS
uysha [10]

Answer:

a reflection over the x-axis and then a 90 degree clockwise rotation about the origin

Step-by-step explanation:

Lets suppose triangle JKL has the vertices on the points as follows:

J: (-1,0)

K: (0,0)

L: (0,1)

This gives us a triangle in the second quadrant with the 90 degrees corner on the origin. It says that this is then transformed by performing a 90 degree clockwise rotation about the origin and then a reflection over the y-axis. If we rotate it 90 degrees clockwise we end up with:

J: (0,1) , K: (0,0), L: (1,0)

Then we reflect it across the y-axis and get:

J: (0,1), K:(0,0), L: (-1,0)


Now we go through each answer and look for the one that ends up in the second quadrant;

If we do a reflection over the y-axis and then a 90 degree clockwise rotation about the origin we end up in the fourth quadrant.

If we do a reflection over the x-axis and then a 90 degree counterclockwise rotation about the origin we also end up in the fourth quadrant.

If we do a reflection over the x-axis and then a reflection over the y-axis we also end up in the fourth quadrant.

The third answer is the only one that yields a transformation which leads back to the original position.

4 0
3 years ago
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Pls help me on this question.<br>Do NOT answer 13 and 15. Only answer 14.
Ilia_Sergeevich [38]
1,700 good luck hope it helps you 100*17=1,700
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3 years ago
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