31 gallons of gas cost $82.15. what is the unit rate for 1 gallon of gas ?

$2.65 per gallon

Step-by-step explanation:

To better understand the problem, let's write out a ratio and figure out the proportion.

82.15$        x    

_           =     _

31                 1

To figure out x, we will have to divide 82.15 by 31.

82.15 ÷ 31 = 2.65

Therefore, the answer will be 2.65.

-kiniwih426

the equation cos(35) =a/25 can be used to find the length of bc what is the length of bc? round to the nearest tenth

step-by-step explanation:

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.