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2 years ago

10

If AB=9, the diagram blank the case of a degenerate triangle because blank. The case of a degenerate triangle justifies the use

of blank inequality symbols in the triangle inequality theorem

1 answer:

sesenic [268]2 years ago

4 0

Answer:

Step-by-step explanation:

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2 years ago

I need help with geometry.<br> Find x.

I am Lyosha [343]

Answer:

Part 9) $x=5$

Part 10) $x=-9$

Step-by-step explanation:

we know that

The <u><em>Midpoint Theorem</em></u> states that: The segment joining two sides of a triangle at the midpoints of those sides is parallel to the third side and is half the length of the third side

Part 9) we know that

Point Q is the midpoint segment XY (QY=QX)

Point R is the midpoint segment XW (RW=RX)

Applying the Midpoint Theorem

RQ is parallel to WY

and

$RQ=\frac{1}{2}WY$

we have

$RQ=2x-3\\WY=x+9$

substitute

$2x-3=\frac{1}{2}(x+9)$

solve for x

$4x-6=(x+9)$

$4x-x=9+6$

$3x=15$

$x=5$

Part 10) we know that

Point B is the midpoint segment TS (BS=BT)

Point C is the midpoint segment RS (CS=CR)

Applying the Midpoint Theorem

BC is parallel to TR

and

$BC=\frac{1}{2}TR$

we have

$BC=x+19\\TR=x+29$

substitute

$x+19=\frac{1}{2}(x+29)$

solve for x

$2x+38=(x+29)$

$2x-x=29-38$

$x=-9$

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