Construct a triangle with sides congruent to given line segments. Does a solution always exist? How many congruent solutions are there for this problem?

ii. Yes, a solution always exists.

iii. There is only one congruent solution to the problem.

Step-by-step explanation:

Two or more lines are said to be congruent is they have the same length. These lines could be at certain angles to each other, which can be constructed to produce a triangle.

Given line segments, constructing a triangle with sides congruent to the line would produce only one triangle.

See the attachment for an example of the construction.

tsp

Step-by-step explanation:

To find out how much salt you would need to make 55 cookies, you need to find how much salt makes 1 cookie:

If tsp of salt makes 16 cookies, then ( ÷ 16) tsp of salt will make 1 cookie.

But how much is ÷ 16?

To divide fractions with different denominators easily, use the SFM method:

S - Skip

F - Flip

M - Multiply

÷      First, Skip your focus to the 2nd number. This is what will be changed.

÷      Next, Flip the numerator and denominator.

×      Finally, multiply the two numbers together.

tsp of salt will make 1 cookie.

Now to find the amount needed for 55 cookies:

To find the amount of salt needed to make 55 cookies, multiply × 55.

× =

Because the fraction cannot be simplified further, the amount of salt that is needed to make 55 cookies is tsp.