Answer:
<em>x = 9; Option C</em>
Step-by-step explanation:
If p ║q, we are provided with the following properties;
Same Side Interior / Exterior ∠s ⇒ supplementary,
Alternate Interior / Exterior ∠s ⇒ ≅,
Corresponding ∠s ⇒ ≅
If we are focusing on the measure of two alternate interior angles, say a and b, we can assign them as such;
a ⇒ 9x + 8, and b ⇒ 15x - 46
m∠ a = m∠ b ⇒ provided they are alternate interior ∠s,
9x + 8 = 15x - 46 ⇒ Add 46 on either side of equation,
9x + 54 = 15x ⇒ Subtract 9x from either side,
54 = 6x ⇒ Divide either side by 6,
<em>Solution; x = 9</em>
<span>Given: ΔABC
When written in the correct order, the two-column proof below describes
the statements and justifications for proving the three medians of a
triangle all intersect in one point are as follows:
Statements Justifications
Point F
is a midpoint of Line segment AB </span><span>by Construction
Point E is a midpoint of Line segment
AC
Draw Line segment BE
Draw Line segment FC
Point G is
the point of intersection between
Line segment BE and Line segment FC Intersecting Lines Postulate
Draw Line segment AG by Construction
Point D
is the point of intersection between
Line segment AG and Line segment
BC Intersecting Lines Postulate
Point H lies on Line segment AG such
that
Line segment AG ≅ Line segment GH by Construction
</span><span>Line segment FG is parallel to line segment
BH and Line
segment GE is parallel to line
segment HC Midsegment Theorem
</span><span><span>Line
segment GC is parallel to line segment
BH and Line segment BG is
parallel to
line segment HC Substitution</span>
</span>BGCH is a <span><span><span><span>Properties of a Parallelogram </span>parallelogram (opposite sides are parallel)</span>
</span>Line segment BD
≅ Line segment </span><span><span>Properties of a Parallelogram </span>DC (diagonals bisect each
other)
Line segment
AD is a median Definition of a Median</span>
Thus the most logical order of statements and justifications is: II, III, IV, I
Answer:
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Step-by-step explanation:
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answer is 5
Step-by-step explanation:
