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:

x = 10.1

step-by-step explanation:

all of the angles of a tirangle add up to 180º

180 - 65 = 115 (since we already know the value of one angle)

(2x + 7) + (8x + 7) = 115

(combins like terms) 10x + 14 = 115

(isolate the variable subtract 14 from both sides): 10x = 101

(find the variable divide both sides by 10): x = 101/10

x = 10.1

1^3 + 2^3 + 3^3 +4^3 = (1+2+3+4)^2

step-by-step explanation:

i am only able to answer the first part. i am not sure about the second part. sorry