<em>A line segment that connects two midpoints of the sides of a triangle is called a midsegment.</em>
<em>A triangle midsegment is parallel to the third side of the triangle and is half of the length of the third side.</em>

Point J is midpoint of side HI as HJ = JI

Point K is midpoint of side GI as GK = KI

JK is midsegment as connects the midpoints of the sides

JK = 1/2HG as per property of midsegment

6x - 4 = 10x/2
6x - 4 = 5x
6x - 5x = 4
x = 4

JK = 6x - 4 = 6*4 - 4 = 24 - 4 = 20 m

6 0

2 years ago

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Quadrilateral ABCD is inscribed in this circle.

Svetllana [295]

Answer:

132°

Step-by-step explanation:

Quadrilateral ABCD is inscribed in a circle,

So, it is a cyclic quadrilateral.

Opposite angles of a cyclic quadrilateral are supplementary.

$\implies \: x \degree + (3x - 12) \degree = 180 \degree \\ \\ \implies \: (4x - 12) \degree = 180 \degree \\ \\ \implies \: 4x - 12 = 180 \\ \\ \implies \: 4x = 180 + 12 \\ \\ \implies \: 4x = 192 \\ \\ \implies \: x = \frac{192}{4} \\ \\ \implies \: x = 48\\\\$

(3x-12)° = (3*48 - 12)° = (144 - 12)° = 132°

$\implies \: m\angle B = 132\degree\\\\$

5 0

2 years ago

Fifteen minutes past eight in the evening on a 24 hour clock​

Fifteen minutes past eight in the evening on a 24 hour clock