HELP!
The angle measures of a hexagon add up to 720°. What is the measure of angle Z?

m∠Z = 166°

Step-by-step explanation:

Since we know that the angles add up to 720°, we can set up an equation to solve for the variable x:

12x + 14x - 6 + 108 + 108 + 108 + 90 = 720

26x + 408 = 720

26x = 312

x = 12

Now we substitute the number in for x to solve ∠Z:

m∠Z = 14(12) - 2 = 166

m∠Z = 166°

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

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.