Ruthie wants to construct a line that passes through point p and is perpendicular to ab. what should ruthie do first?
a) measure the length of segment ab with her compass
b) construct two intersecting arcs with centers a and b
c) use her straight-edge to draw a line from point p to point a
d) construct an arc with center p that intersects segment ab in two points

D. construct an arc with center P that intersects segment AB in two points.

Step-by-step explanation:

Given : Ruthie wants to construct a line that passes through point P and is perpendicular to AB

To Find : What should Ruthie do first?

Solution :

Her first step should be :

D. construct an arc with center P that intersects segment AB in two points.

Accurate steps.

1.Place the compasses on the given external point P.construct an arc with center P that intersects segment AB in two points.

2.From each arc on AB draw an arc below the line so that the resultant arcs cross each other.

3.Place a straightedge between P and the point where the arcs intersect. Draw the perpendicular line from P to the line,

Thus the first step should be : D. construct an arc with center P that intersects segment AB in two points.

a 360 degree rotation

step-by-step explanation:

e^-kt = n/n0 = 0.79  

-kt = ln 0.79  

t = - ln 0.79/0.0001  

= 2357 years

step-by-step explanation: