We plan to construct a line segment through point p and perpendicular to line segment ef. what is the smallest number of compass adjustments with which this can be done? a) 1 b) 2 c) 3 d) 4

A) 1

Step-by-step explanation:

REmember that to create the perpendicular line segment to the segment EF you just have ot adjust the compass to three quarters and draw semi circular segments from points E and "F" that would intersect with eachother and from there to the other side of the segment you draw a line fomr the two points where the semi circles intersect with eachother. so you only need one adjustment to the compass.

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.

answer: 33 ( approx)

step-by-step explanation:

since, in the linear regression formula, the slope is the a in the equation y = b + ax ( by comparing it with the general equation of line y = mx + c )

where,

here given table is,

price ($), x   :           18         23       25       29       30       33

pairs sold, y :         16         13         10       8         6       2

so, ,   ,   ,

and   ,

thus, slop of the given line is,

⇒  

⇒   ≈ 33