The length that a spring stretches varies directly with a weight placed at the end of the spring. When Sarah placed a 10lb watermelon on a hanging scale, the spring stretched 5in. Write an equation that relates the length L that the spring stretches to the weight w. How many pounds does a watermelon weigh if it stretch the spring 6in?

A watermelon weighs 12 lb if it stretches the spring 6in.

Step-by-step explanation:

If two variables are directly proportional, it means that an increase in the value of one variable would cause a corresponding increase in the other variable. Also, a decrease in the value of one variable would cause a corresponding decrease in the other variable.

Given that length, L varies directly with weight, W, if we introduce a constant of proportionality, k, the expression becomes

L = kW

When W = 10 and L = 5, then

5 = 10k

k = 5/10 = 0.5

Therefore, the equation that relates the length L that the spring stretches to the weight W is

L = 0.5W

Therefore, if L = 6 inch, then

6 = 0.5W

W = 6/0.5 = 12 lb

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

step-by-step explanation:

given   that triangle lno is congruent to triangle lnm.

we have to fill up the blanks in the given question.

according to above order of congruency   kept in mind we can say that

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

ln ≅ ln due to common in both.

hence, by sas congruency,

the side angle side rule   states that if two sides and the included angle of one triangle are congruent to another triangle, then these two triangles are congruent.