The federal government requires a car manufacturer to have a minimum miles per gallon (mpg) average over the models it makes. suppose that the mpgʹs for the five models of a manufacturer are 19, 21, 22, 28, and 18, and the government requirement is 25 mpg. the last of the models is to be redesigned to meet the government requirement. what must the new mpg of this model be to meet the requirement?

25 mpg

Step-by-step explanation:

We have a set of values 19, 21, 22, 28  and 18  

The average (which is the mean of the set of values )  is :

19 + 21 + 22 + 28 + 18 = 21.6 mpg   out of the government requirement

So we need a value such as the mean become at least 25 mpg

We have to solve the equation:

(19+21+22+28+ x)/ 5  = 25

 (90 + x ) /5  = 25       ⇒   90 + x = 125   ⇒   x = 35 mpg

If we get the mean of the set of values including 35 we have:

(19 +21+ 22+ 28 + 35 ) / 5   =  25 mpg  government requirement

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.