Point P is on line segment \overline{OQ} OQ

. Given OP=x-3,OP=x−3, PQ=1,PQ=1, and OQ=3x-10,OQ=3x−10, determine the numerical length of \overline{OP}.
OP
.

Segment OP = 1

Step-by-step explanation:

Segment OQ = Segment OP + Segment PQ

        3x - 10 = (x - 3) + 1

        3x - 10 = x - 2            Solve for x

           2x - 10 = -2              

            2x = 8

            x = 4

Segment OP = x - 3  so 4 - 3 = 1

Check:   3x -10 = (x - 3) + 1 ;  3 · 4 -10 = (4 - 3) + 1 ; 2 = 2  

none.

step-by-step explanation:

m

1

=

5

m1=5

b

=

−

1

b=-1

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

tap for more

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

there would only be 50 odd numbers between 1 and 100 so therefor there would be 50 even so that would only be 50 odd numbers.