The Lions basketball team uses a rating system to rank players. They value each free throw for 1 point and each 3-pointer for 3 points. John earned 100 points the day that he shot a total of 60 free throws and 3-pointers combined. Let x equal free throws and y equal 3-pointers. How many of each shot did he make?

Step-by-step explanation:

Let x represent free throws while y represents 3-pointer. Gives a simalteous equation.

x +y = 60 1

x +3y = 100 2

From equation 1

x +y = 60

x = 60-y3

Put equation 3 into 2

x +3y = 100

60-y+3y = 100

-y+3y= 100-60

2y = 40

Divide both sides by 2

2y/2 = 40/2

y = 20

Put the value of y in equation 1

x +y = 60

x + 20 = 60

x = 60-20

x = 40

From the above figure, John has shot 40x (free throws) to gain 40 points and also has shot 20y (three pointers) to gain 60 points

x = 40

Step-by-step explanation:

∠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.