Susie and jack are on a basketball team. the total amount of points scored was 86. if susie has 5 more than as many points as jack then how many points do they each have

The points each have scored are Susie 45.5 points and jack 40.5 points.

Step-by-step explanation:

Given:

Susie and jack are on a basketball team.

The total amount of points scored was 86.

Susie has 5 more than as many points as jack.

Now, to find the points they each have:

Let the points of jack be .

Then the points of Susie be .

There total points scored =  86.

According to question:

⇒

⇒

Subtracting both sides by 5 we get:

⇒

Dividing both sides by 2 we get:

⇒

Jack scored = 40.5 points.

Putting the value of to get the points of Susie:

⇒

Susie scored = 45.5 points.

Therefore, the points each have scored are Susie 45.5 points and jack 40.5 points.

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.