Answer:
<em>Cathy was born in 1980 and she was 18 years old in 1998</em>
Step-by-step explanation:
<u>Equations</u>
This is a special type of equations where all the unknowns must be integers and limited to a range [0,9] because they are the digits of a number.
Let's say Cathy was born in the year x formed by the ordered digits abcd. A number expressed by its digits can be calculated as

In 1998, Cathy's age was

And it must be equal to the sum of the four digits

Rearranging

We are sure a=1, b=9 because Cathy's age is limited to having been born in the same century and millennium. Thus

Operating

If now we try some values for c we notice there is only one possible valid combination, since c and d must be integers in the range [0,9]
c=8, d=0
Thus, Cathy was born in 1980 and she was 18 years old in 1998. Note that 1+9+8+0=18
What should denise do for her next step?
Answer: Out of all the options presented above the one that best represents the next step that denise should take after already using her straightedge and compass to construct the circle, lines, and arcs is to use the straightedge to draw line ac, line ad, line bc, and line bd. use the compass and straightedge to construct the bisector of ∠cpb∠cpb. Please see the attachment as reference to how it should look like once it is completed.
I hope it helps, Regards.
Answer:
He needs 785 more minutes
Step-by-step explanation:
Answer: 7/2
To find the slope, we must put the equation in y = mx + b form, and m represents ur slope.
7x - 2y = 4....subtract 7x from both sides
-2y = -7x + 4 ...now divide both sides by -2
y = (-7/-2)x + (4/-2)
y = 7/2x - 2....now we have it in y = mx + b form, and since m is ur slope, ur slope in this equation is 7/2.
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