For the following figure, complete the statement for the specified points. points a, s, and r are

The points A, S and R are colinear.

Step-by-step explanation:

Notice that the figure in question is a pyramid, where the points A, C, B and R are all vertices. Now, the point S is not a vertex of the pyramid, instead it is on an edge, specifically on the edge determined by the vertices A and R. With this, we can affirm that the point S is on the segment defined by the points A and R.

Now, from the axioms of geometry we know that two points are always in a line. But when we have three, the same assertion is not true, just recall the triangles. So, when three (or more points) are on the same line (or segment) we say that they are colinear.

Thus, the points A, S and R are colinear.

48 / 6 = x

in this case, x will equal the amount of money in each card!

x therefore will be 8.

trent had $8 in each birthday card.

simplifying

5(x + -6) = 2(x + 3)

reorder the terms:

5(-6 + x) = 2(x + 3)

(-6 * 5 + x * 5) = 2(x + 3)

(-30 + 5x) = 2(x + 3)

reorder the terms:

-30 + 5x = 2(3 + x)

-30 + 5x = (3 * 2 + x * 2)

-30 + 5x = (6 + 2x)

solving

-30 + 5x = 6 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-30 + 5x + -2x = 6 + 2x + -2x

combine like terms: 5x + -2x = 3x

-30 + 3x = 6 + 2x + -2x

combine like terms: 2x + -2x = 0

-30 + 3x = 6 + 0

-30 + 3x = 6

add '30' to each side of the equation.

-30 + 30 + 3x = 6 + 30

combine like terms: -30 + 30 = 0

0 + 3x = 6 + 30

3x = 6 + 30

combine like terms: 6 + 30 = 36

3x = 36

divide each side by '3'.

x = 12

simplifying

x = 12

this should .