Consider rectangle abcd (not shown) with ab=8 and bc=6. if m and n are the midpoints of sides ab¯¯¯¯¯ and bc¯¯¯¯¯ respectively, find mn.

Step-by-step explanation:

Please find that attachment.

We have been given that in rectangle abcd, and . We are also told that m and n are the midpoints of sides ab and bc respectively.    

Since m is point of ab, so am and mb will be 4 units each. Similarly, an and nc will be 3 units each.

When we will join a line connecting m and n, it will be hypotenuse of a right triangle mbn.

Now, we will use Pythagoras theorem to solve for mn.

Upon taking square root of both sides, we will get:

Since length cannot be negative, therefore, the length of mn is 5 units.

3x + 18 = 147°

step-by-step explanation:

3x + 18 = 147°, because the value of the central angle is equal to the value of the arc formed by it.

i hope i you.

answer: the center is the median and/or mean of the data. the spread is the range of the data. and, the shape describes the type of graph. the four ways to describe shape are whether it is symmetric, how many peaks it has, if it is skewed to the left or right, and whether it is uniform. good luck

step-by-step explanation: