Find the value of x such that the data set has the given mean.

102, 122, 103, 111, 106, x; mean 112

128

Step-by-step explanation:

The mean is the average of a set of numbers. It is calculated by adding all the numbers given and then dividing the total number by the amount of numbers given.

The numbers given are 102, 122, 103, 111, 106, x. We don't know the value of x yet but we've been given a mean of 112 and from the information, we know that there are 6 numbers.

Mean= Sum of the numbers/6

112 = (102+122+103+111+106+x)/6

112 = (544 + x)/6

Cross multiply

112 × 6 = 544 + x

672 = 544 + x

672 - 544 = x

X = 128

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.

8(1/6)

step-by-step explain:

49/6= 48

8 (1/6)