No idea on what to do. Which of the following is an equation of the line that passes through the point (–2, 3) and is perpendicular to the graph of the equation y = 3x – 2? A. y = –13x + 73
B. y = –13x + 113
C. y = 3x + 9
D. y = 3x – 3

A

Step-by-step explanation:

y=3x-2

or 3x-y=-2

any eq. of line perpendicular to it is

x+3y=a if it passes through (-2,3), then

-2+3(3)=a

a=7

so x+3y=7

or  3y=-x+7

y=-1/3 x+7/3

d. millimeters per hour.

step-by-step explanation:

we are given that,

carlo used a rain gauge to measure the amount of water his lawn is receiving from the sprinklers.

since, according to the options, we see that,

water cannot be measured by 'miles per hour', 'meters per second' and 'grams per seconds'.

we get that, the water can be measured by 'millimeters per hour'.

hence, the appropriate rate for describing the amount of water is 'millimeters per hour'.

solution:

we have to construct

∠m nt ≅ ∠p qr

the steps to draw this construction are

step 1: use a compass to draw an arc from point q which intersects the side pq at point a and the side qr at point b.

step 2: draw a segment nt and use the same width of the compass to draw an arc from point n which intersects the segment nt at a point x.

step 3:

step 4: join points n and y using a straightedge.

step 3:

option (d).maintaining the same width of the compass as ab, draw an arc from point x such that it intersects the arc drawn from n in a point y.

to draw   congruent angles , 1. width of compasses while drawing two angles should be same i.e from point at which angle has to be drawn, 2.the distance between the two points where the compass intersects the two sides should be same while drawing any two congruent angles.