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timurjin [86]
3 years ago
5

Drag and drop a statement or reason to each box to complete the proof.

Mathematics
1 answer:
zhannawk [14.2K]3 years ago
8 0

The data observed from the triangle are given below.

Statement                         Reason

\overline{P Q} \cong \overline{P R}                          Given

Draw \overline{P M} so that M is the midpoint of QR.     Two points determine a line

\overline{Q M} \cong \overline{R M}                          Definition of midpoint

\overline{P M} \cong \overline{P M}                         Reflexive property of congruence

\triangle P Q M \cong \Delta P R M                SSS congruence postulate

\angle \mathrm{Q} \cong \angle \mathrm{R}                        CPCTC

SSS means side-side-side

CPCTC means corresponding parts of the congruence triangle are congruent.

Hence the given triangle is SSS congruence postulate

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Answer:

The sum of the expression (8 - 4i) + (-2 +7i) is (6 + 3i)

Step-by-step explanation:

In the complex numbers (a + bi) and (c + di), we can add the real parts together and the imaginary parts together, so their sum is

(a + bi) + (c + di) = (a + c) + (b + d)i

Let us use this fact to solve our question

∵ The complex numbers are (8 - 4i) and (-2 + 7i)

∴ Their sum = (8 - 4i) + (-2 + 7i)

∵ The real parts are 8 and -2

∵ 8 + -2 = 8 - 2 = 6

∴ The sum of the real parts is 6

∵ The imaginary parts are -4i and 7i

∵ -4i + 7i = 3i

∴ The sum of the the imaginary parts is 3i

∵ (8 - 4i) + (-2 + 7i) = (8 - 2) + (-4 + 7)i

∴ (8 - 4i) + (-2 + 7i) = 6 + 3i

∴ The sum of the expression (8 - 4i) + (-2 +7i) is (6 + 3i)

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