Solve the following problems using the 5D process.
(Describe/Draw, Define, Do, Decide, and and Declare)

First problem: let and be the base and height of the rectangle, respectively. We know that (the base if 11 longer than the height), and that (the perimeter is 58 centimeters).

So, we have the system

Use the first equation to substitute into the second:

And since the base is 11 centimeters longer, we have

Second problem: Let be the number of cards owned by Mark, Norm and Oscar, respectively. We know that:

(they have 810 cards in total)

(Norm has 30 more than Mark)

(Oscar has twice as much as Mark)

The second and third equation express and in terms of , and substituting those expressions in the first equation we have

And then we can use again the second and third equations:

none.

step-by-step explanation:

m

1

=

5

m1=5

b

=

−

1

b=-1

find the slope and y-intercept of the second equation.

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m

2

=

0

m2=0

b

=

−

6

b=-6

compare the slopes

m

m of the two equations.

m

1

=

5

,

m

2

=

0

m1=5,m2=0

compare the two slopes in the decimal form. if the slopes are equal, then the lines are parallel. if the slopes are not equal, then the lines are not parallel.

m

1

=

5

,

m

2

=

0

m1=5,m2=0

step-by-step explanation:

at each of the parallel lines adjacent angles are supplementary. the angles have special names identifying their positions with respect to the parallel lines and transversal. they are corresponding angles, alternate interior angles, or alternate exterior angles. an angles is congruent to its matched angle.