ABCD is a rectangle with sides 6 cm and 8 cm. If its diagonals cross at X, the length
of AX is

The length of AX is 5 cm

Step-by-step explanation:

Diagonal of a Rectangle

Given a rectangle of dimensions W by L (as shown in the image below), the diagonal D is the segment that joins two opposite corners of the rectangle.

The diagonals cross at the center of the rectangle in point X, thus the length of AX is half the length of the diagonal.

Note the diagonal is the hypotenuse of a right triangle with legs W and L, thus:

The length of the diagonal is 10 cm, thus the required distance is AX=10/2 = 5 cm.

The length of AX is 5 cm

the slope of the line is 60

one point on the line is (40,10)

step-by-step explanation:

in the equation outside the parenthesis the equation always tells you the slope. in this case it is 60.

in the parenthesis is also says 40 which is x because it is near the x and 10 is y because it is near y.

the answer is; biodiversity resulting from few ancestors

adaptive radiation occurs when a population is subjected to a large natural environment with spatial ecological variations. the parts of the population in the different ecologies begin to adapt to their local environments. due to non-random mating across the large populations, this causes the different populations from the large population to speciate within their local environments. they, therefore, diverge to different species sharing a common ancestor.