Which of the following shows the figure rotated 90 degrees counterclockwise around the origin and then reflected across the x axis?

First figure

Step-by-step explanation:

From given graph we can see that the point (3,0) and (3,1) lie on the given graph.

90 degree rotation counterclockwise around origin:The point (x,y) is rotated 90 degree counterclockwise about origin then the point changed by the rule

When the point (x,y) is reflected across x- axis then point is transformed   by the rule

Point (3,0) is rotates 90 degree counter clockwise about origin then the point will be (0,3) after rotation.

When the point (0,3) is reflected across x- axis then the point becomes

(0,-3).

The point (3,1) becomes (-1,3) after 90 degree counterclockwise rotation.

After reflection across x- axis, the point becomes (-1,-3)

(0,-3) and (-1,-3) lie in the firs figure.

Hence, it is true.

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step-by-step explanation:

x = 17

step-by-step explanation:

in the given figure, two triangles are inscribed in a circle where ∠bae ≅ ∠dae which makes the side be and de equal so we can write it as:

3x - 24 = x + 10

solving this equation for x to get:

3x - x = 10 + 24

2x = 34

x = 34/2

x = 17

therefore, the value of x = 17.