Chloe is trying to find three consecutive, positive integers such that six times the largest is equal to the twice sum of the two smaller integers. Set up an equation that models the numbers chloe is trying to find

The equation is 6 × (x + 1) = 2 × (x + x + 1)

The integers are negative (-5, -4, -3)

Step-by-step explanation:

The numbers Chloe is trying to find = Three consecutive positive integers

The nature of the numbers Chloe is trying to find = The product of 6 and the largest of the three numbers = 2 × The sum of the two smaller integers

To set up the equation, we proceed as follows;

Let the three numbers be x, x + 1, x + 2

Therefore, the equation is given as follows;

6 × (x + 1) = 2 × (x + x + 1)

We simplify, to get;

6·x + 12 = 2·x + 2·x + 2

6·x + 12 = 4·x + 2

6·x + 4·x  = 2 - 12

2·x  = -10

x = -10/2 = -5

The integers are;

-5, -4, -3

4a. is 3 miles every hour

4b. is 1/3 of an hour per mile

step-by-step explanation:

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it