Solution
Given the question in the image, the following are the solution steps to answer the question.
STEP 1: Define the converse of a statement
The converse of a statement is formed by switching the hypothesis and the conclusion.
STEP 2: break down the given statements
Hypothesis: If M is the midpoint of line segment PQ,
Conclusion: line segment PM is congruent to line segment QM
STEP 3: Switch the two statements
Hence, the answer is given as:
If line segment PM is congruent to line segment QM, then M is the midpoint of line segment PQ,
The answer is c. hope this helps you :)
Answer:
First you must rewrite the given equation in standard form:
2x^2 - 4x + 7 = 0. Here a=2, b=-4 and c=7.
The solutions are thus
-[-4] plus or minus sqrt( [-4]^2 - 4[2][7] )
x = --------------------------------------------------------
4
4 plus or minus sqrt (16 - 56)
or: x = --------------------------------------------
4
16-56 = - 40, a negative number. Thus, we must introduce the imaginary operator: sqrt (-40) = 2i*sqrt(10)
The roots are thus:
4 plus or minus 2i sqrt(10) 2 plus or minus i*sqrt(10)
x = ----------------------------------------- = ---------------------------------------
4 2
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