The ratio of the measures of the three angles of a triangle is 4:5:9. Find the measure of the largest angle of the triangle.

Step-by-step explanation:

The interior angles of all triangles sum up to . Therefore, we can write the following equation:

, where is some constant.

Combining like terms, we have .

Therefore, the angles of this triangle are , the largest of them being .

-8

step-by-step explanation:

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