PLZ HELP ASAP INSCRIBED QUADRILATERALS

Mathematics

1 answer:

Natasha2012 [34]3 years ago

7 0

Opposite angles of an inscribed quadrilateral are supplementary, that is, they add up to 180 degrees. For this quadrilateral, Q + A = 180, and similarly, U + D = 180. Since we are given U = 106, therefore:
106 + D = 180
D = 74 degrees.

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Tanya [424]

Answer:

<em>The gold vein is 96 miles away from the farthest gold dust strike.</em>

Step-by-step explanation:

<u>Distance Between two Points in the Plane </u>

Given two points A(x,y) and B(w,z), the distance between them is:

$d=\sqrt{(z-y)^2+(w-x)^2}$

The prospector positioned the gold vein at (-2,9) and the farthest gold dust strike at (94,9). We are required to calculate the distance between these two points. Use the formula:

$d=\sqrt{(9-9)^2+(94-(-2))^2}$

$d=\sqrt{0^2+96^2}$

$d=\sqrt{96^2}=96$

The distance is 96 units, but we know each unit on the graph represents 1 mile, thus the gold vein is 96 miles away from the farthest gold dust strike.

8 0

3 years ago

Help! You can look at the picture please

viva [34]

Answer:

$\frac{3x}{3 - 2x}$