The circle is inscribed in the triangle. find the perimeter of the triangle. a. 56 in. b. 60 in. c. 64 in. d. 66 in.

check the picture below.

as you can see on the example on the left-side there, two tangent lines to a circle, by the time they intersect each other, they have the same length, x = x, z = z and y = y, because they're tangent to that circle and are intersecting.

therefore, the missing part in this circle is 8, as you see there in the right-side.

so the perimeter is 24 + 22 + 18.

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

3. (5x + 1) - (-10x + 6)

simplify the answer choice. combine like terms. remember to distribute the negative to the terms inside the second parenthesis. also remember that two negatives = one positive, and one of each sign = negative.

- (-10x + 6) = + 10x - 6

simplify. combine like terms:

5x + 1 + 10x - 6

5x + 10x + 1 - 6

15x - 5

∴ it is your answer

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