M∠aoc is a straight angle angle boc = 6x + 29 m∠boc=6x+29 angle aob = 3x + 124 m∠aob=3x+124 ∘ find angle boc

The angle measure of m∠BOC = 47°.

Step-by-step explanation:

Since we have given that

m∠AOB + m∠BOC = m∠AOC

and we know that

m∠AOC is a straight angle angle.

So,  m∠BOC =

Hence, the angle measure of m∠BOC = 47°.

Step-by-step explanation:

we know that

------> by straight angle

substitute the values

solve for x

Find the measure of angle BOC

substitute the value of x

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

b. 1.25 hr

step-by-step explanation:

if you have a constant speed of 60 mph, then you have a ratio between 60 mi. to 1 hr. dividing both sides by 60 we get the ratio

1 mi. to

then mult. both sides by 75 we get the ratio

75 mi. to

simplifying we get

75 mi. to

or 1.25 hr.