Points a, b, and c, form a triangle. the distance between point a and point b is 15 yards. the distance between point b and point c is 25 yards. pete walks directly from point a to point c, without passing through point b. what is the direct distance from a to c? how far would pete walk if he went from a to b to c? yards the direct distance from a to c is more than 40 yards. the inequality w < represents the distance, w, that pete might save by taking the direct path.

The answer is less than 40 yards.

Step-by-step explanation: Given that the points A, B and C forms a triangle as shown in the attached figure, where AB = 15 yards and BC = 25 yards.

Now, Pete walk directly from point A to point C rather than walking from A to B and then from B to C.

Total distance that Pete covers if he walks from A to B and then from B to C

= 15 + 25

=40 yards.

Since he walks directly from A to C and ABC forms a triangle, so from triangular inequality, we have

AB + BC > AC

i.e., AC < 40 yards.

So, if Pete takes the way direct from A to C, then the distance covered by him will be less than 40 yards. And if if he walks from A to B and the from B to C, the he will have to cover total distance of 40 yards.

Thus, the direct way from A to C will be more convenient foe him as he will have to cover less distance.

40,10,30

Step-by-step explanation:

8

step-by-step explanation:

to find the amount of gift bags to use all the supplies, find the gcf or greatest common factor. this is the largest number which multiplies evenly into each term.

48 has factors: 1, 2, 3, 4, 6, 8, 12. 16, 24, 48

80 has factors: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

64 has factors: 1, 2, 4, 8, 8, 16, 32, 64

the highest number factor they all share in common is 8. this means there will be 8 bags with 6 pencils, 10 markers, and 8 stickers in each bag.

the correct answer option is (2x-3)(2x+3).

step-by-step explanation:

we are given the following expression and we are to factorize it:

we are to find such factors that when multiplied they give a result of 36 (9 x 4 = 36) and when added they give a result of 0.

the two such factors of 36 are negative six and postive six.

factorizing the given expression to get:

therefore, the correct factorization of is (2x-3)(2x+3).