Can someone please explain?

√105

Step-by-step explanation:

Since line TP is what you are looking for, draw a imaginary line from Point T to Point J, and using Pythagorean Theorem you will find that it is the c² in the

a² + b² = c²

Using Pythagorean Theorem, we can determine the measure of Segment TP by finding the measures of Segments MJ, JP, and the imaginary TJ.

If JK = 24, then half of JK is 12, which is Segment MJ(a²).

If JL = 16, then half of JL is 8, which is segment JP.

Therefore, we can setup a simple mathematical equation where since both MT and TP have right angles, we know that c² will be the imaginary line TJ, since the opposite of the right angle will be the c² always in the Pythagorean Theorem.

Equation:

5² + 12² = c²(or TJ)

8² + TP² = c²(or TJ)

25 + 144 = c²

64 = TP² = c²

Using the Law of Substitution, we can determine that:

25 + 144 = 64 + TP²

169 = 64 + TP²

105 = TP²

TP = √105

That's how I got my answer.

Hope this helps!

step-by-step explanation:

ddd

1. sometimes

2.   never

3   .08c = 7.50+.05c   250 pages

step-by-step explanation:

1.   sometimes

the theoretical probability of rolling a 1 is 1/6.   perhaps you got really lucky and never rolled a 1   in those 60 times.   your experimental probability is 0.   or perhaps you rolled a 1   20 times.   your experimental probability is 20/60 is 1/3.     it really just depends on how you rolled in that experiment.

2.   never

the probability of the event occurring is 1.   that is being 100 % sure it will happen.   that is the maximum amount of confidence we have.

3.   no customer card cost:   .08 times number of pages

customer card cost:   7.50 + .05 times number of pages

we want to find when it costs the same amount, so we will set these equal

let c = number of pages

.08c = 7.50+.05c

subtract .05c from each side

.08c-.05c = 7.5+.05c-.05c

.03c=7.5

divide each side by .03

.03c/.03 = 7.5/03

c =250  

the cost is the same at 250 pages