Pam likes to practice dancing while preparing for a math tournament. She spends 80 minutes every day practicing dance and math. To help her concentrate better on math, she spends 20 minutes more dancing than doing math. Part A: Write a pair of linear equations to show the relationship between the number of minutes Pam practices math every day (x) and the number of minutes she practices dances every day (y). (5 points)

Part B: How much time does Pam spend on practicing math every day? (3 points)

Part C: Is it possible for Pam to have spent 60 minutes practicing dance every day? Explain your reasoning. (2 points)

Step-by-step explanation:

Total time spent on practicing dance and math = 80 minutes.

She spends 20 minutes more dancing than doing math. So that;

A.  x ≤ 30 minutes

 ii. y ≥ 50 minutes

B. Since Pam spend 20 minutes more dancing than doing math, then;

x + y = 80

But,

y = x + 20

x + x + 20 = 80

2x = 80 - 20

2x = 60

x = 30 minutes

Thus, she spend 30 minutes practicing math every day.

C. Given the condition that she spends 20 minutes more dancing than doing math; yes, it is possible for Pam to have spent 60 minutes practicing dance every day if time spent on math is 20 minutes.

So that,

x + y = 80

20 + y = 80

y = 60 minutes

the reason why your question keeps getting deleted because this is not a school related question : )

i will answer your question though.

i never tried church's

∠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.