Its a parallelogram (a)Find the value of x
(b)the length of KM
(c)the measure of angle HMK

see below

Step-by-step explanation:

a) set the two equations equal to each other and isolate the variable

3x+8 = 7x-24

3x+32=7x

32=4x

x=8

b) Plug in the value of x we got into the equation

7(8)-24 = 56

56-24=32

c) Angle k and h are both 72 (add 20 and 502 together) so h+k=144

J and m are going to have the same measurement so we can set up and equation, we also know all angles must add up to 360

144+2x=360

2x=216

x=108

HMK=108

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet

ca = ec

cpctc makes it so that corresponding parts of the triangle you proved to be equal are equal, the other options aren't part of the part of the triangles you proved to be equal.