Apedestrian bridge is 53 meters long. due to changes in temperature, the bridge may expand or contract by as much as 21 millimeters. write and solve an absolute-value equation to find the minimum and maximum lengths of the bridge.

Given that a pedestrian bridge has length of 53 meters. and due to change in temperature, bridge may expand or contract by 21 millimeters =

Let x be the new length which is contracted or expanded due to temperature change.

So, change in length of bridge due to temperature may be x-53 ( for expansion) or 53-x (for contraction).

But given this change must be 0.021.

Absolute function for change in bridge length = |53-x|

Hence absolute value equation is |53-x| = 0.021

Which means 53-x=0.021    or    53-x = -0.021

                        x=53-0.021     or      x= 53+0.021

                       x=52.979 m or  53.021 meters

Hence minimum and maximum length of the bridge are 52.979 meters and 53.021 meters.

it should be a and d. lmk if i'm wrong xd

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq